Acoustic Streaming for Pressure Acoustics | 
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             | Frequency-Stationary | 
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             | Frequency-Transient | 
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              Acoustic Streaming for Thermoviscous Acoustics | 
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             | Frequency-Stationary | 
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             | Frequency-Transient | 
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              Acoustic–Piezoelectric Interaction, Frequency Domain | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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              Acoustic–Piezoelectric Interaction, Transient | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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             | Modal Reduced Order Model | 
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             | Time Dependent | 
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             | Time Dependent, Modal | 
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              Acoustic–Poroelastic Waves Interaction | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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              Acoustic–Shell Interaction, Frequency Domain1 | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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              Acoustic–Shell Interaction, Transient1 | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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             | Modal Reduced Order Model | 
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             | Time Dependent | 
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             | Time Dependent, Modal | 
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              Acoustic–Solid Interaction, Frequency Domain | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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             | Mode Analysis in 2D | 
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              Acoustic–Solid Interaction, Time Explicit | 
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             | Time Dependent | 
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              Acoustic–Solid Interaction, Transient | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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             | Modal Reduced Order Model | 
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             | Time Dependent | 
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             | Time Dependent, Modal | 
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              Acoustic–Solid–Poroelastic Waves Interaction | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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              Compressible Potential Flow | 
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             | Stationary | 
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             | Time Dependent | 
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              Linearized Euler, Boundary Mode | 
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             | Mode Analysis | 
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              Linearized Euler, Frequency Domain | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Mode Analysis in 2D | 
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              Linearized Euler, Transient | 
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             | Time Dependent | 
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              Linearized Navier–Stokes, Boundary Mode | 
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             | Mode Analysis | 
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              Linearized Navier–Stokes, Frequency Domain | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Mode Analysis in 2D | 
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              Linearized Navier–Stokes, Transient | 
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             | Time Dependent | 
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              Linearized Potential Flow, Boundary Mode | 
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             | Mode Analysis | 
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              Linearized Potential Flow, Frequency Domain | 
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             | Frequency Domain | 
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             | Mode Analysis in 1D axisymmetry and 2D | 
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              Linearized Potential Flow, Transient | 
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             | Frequency Domain | 
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             | Mode Analysis in 1D axisymmetric and 2D | 
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             | Time Dependent | 
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              Elastic Waves, Time Explicit | 
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             | Time Dependent | 
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              Piezoelectric Waves, Time Explicit | 
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             | Time Dependent | 
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              Poroelastic Waves | 
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             | Eigenfrequency | 
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             | Frequency Domain | 
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             | Frequency Domain, Modal | 
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              Solid Mechanics (Elastic Waves) | 
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             | Boundary Mode Analysis (with the Port condition in 3D) | 
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              | 
            
            
             | Eigenfrequency | 
              | 
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             | Eigenfrequency, Prestressed | 
              | 
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              | 
            
            
             | Frequency Domain | 
              | 
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             | Frequency Domain, Modal | 
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             | Frequency Domain, Prestressed | 
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              | 
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              | 
            
            
             | Mode Analysis in 2D | 
              | 
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             | Stationary | 
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             | Time Dependent | 
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             | Time Dependent, Modal | 
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              | 
              | 
            
            
            
              Acoustic Diffusion Equation | 
              | 
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             | Eigenvalue | 
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             | Stationary | 
              | 
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              | 
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             | Time Dependent | 
              | 
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              | 
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              | 
            
            
              Ray Acoustics | 
              | 
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              | 
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             | Ray Tracing | 
              | 
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              | 
              | 
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              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
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              | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
            
              Pipe Acoustics, Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
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              | 
              | 
              | 
              | 
              | 
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              | 
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              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
            
            
              Pipe Acoustics, Transient | 
              | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
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              | 
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              | 
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              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Pressure Acoustics, Asymptotic Scattering | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Boundary Elements | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Boundary Mode | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mode Analysis | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Boundary Mode Analysis (for Ports) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
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              | 
              | 
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              | 
              | 
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              | 
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              | 
            
            
             | Frequency Domain, Modal | 
              | 
              | 
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              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Mode Analysis in 1D axisymmetry and 2D | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Kirchhoff-Helmholtz | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
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              | 
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              | 
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              | 
              | 
              | 
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              | 
              | 
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              | 
            
            
              Pressure Acoustics, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Transient | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain, Modal | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Modal Reduced Order Model | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mode Analysis in 1D axisymmetric and 2D | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Time Dependent, Modal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Acoustic–Thermoviscous Acoustic Interaction, Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain, Modal | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Shell Interaction, Frequency Domain1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain, Modal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Solid Interaction, Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain, Modal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Thermoelasticity Interaction, Frequency Domain1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain Perturbation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Thermoelasticity Interaction, Transient1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustics, Boundary Mode | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mode Analysis | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustics, Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Eigenfrequency | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain, Modal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mode Analysis in 1D axisymmetry and 2D | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustics, SLNS Approximation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustics, Transient | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Convected Wave Equation, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Nonlinear Pressure Acoustics, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Time Dependent | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
            
              Compressible Potential Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Wall (Slip Velocity) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mass Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mean Flow Velocity Potential | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Slip Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Periodic Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antiperiodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Continuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Linearized Euler | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Asymptotic Far-Field Radiation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance (Ingard-Myers) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Moving Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Acoustic Fields | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure (Isentropic) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Rigid Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Soft Boundary (Isentropic) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Specific Acoustic Impedance (Isentropic) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Periodic Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antiperiodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Continuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cyclic Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Floquet Periodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Linearized Navier-Stokes | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure (Adiabatic) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Mechanical | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Boundary Stress | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | No Slip | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | No Stress | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Slip (ideal) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Periodic Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antiperiodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Continuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cyclic Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Floquet Periodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Adiabatic | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Heat Flux | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Isothermal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Temperature | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Linearized Potential Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Incident Velocity Potential | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Mass Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Plane Wave Radiation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Soft Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Velocity Potential | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Vortex Sheet | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Periodic Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antiperiodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Continuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Port | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Annular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Circular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Elastic Waves, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antisymmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Boundary Load | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Compute Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Fixed | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Fracture | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Free | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Flux/Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Interior Flux | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Low-Reflecting Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Material Discontinuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Material Discontinuity (Isotropic) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Roller | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Poroelastic Waves | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Added Mass | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Boundary Load | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Fixed Constraint | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Free | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Free, Sound Soft | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impervious Layer | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impervious Mass Layer | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Impervious Layer | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Periodic Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Acceleration | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Rigid Connector | 
              | 
              | 
              | 
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              | 
              | 
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              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Roller | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Spring Foundation | 
              | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thin Elastic Layer | 
              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
              Solid Mechanics | 
              | 
              | 
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              | 
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              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Added Mass | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Antisymmetry | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Boundary Load | 
              | 
              | 
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              | 
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              | 
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              | 
              | 
              | 
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              | 
              | 
            
            
             | Fixed Constraint | 
              | 
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              | 
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              | 
              | 
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              | 
              | 
              | 
            
            
             | Free | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Low-Reflecting Boundary | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Periodic Condition | 
              | 
              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Port | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Acceleration | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Roller | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Spring Foundation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Thin Layer | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Acoustic Diffusion Equation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Inward Energy Flux | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mapped Room Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Room Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Wall | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Ray Acoustics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Material Discontinuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Ray Detector | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Receiver | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Release from Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Release from Pressure Field | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Accumulator | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Diffuse Scattering | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Disappear | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Freeze | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Reflection | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Isotropic Scattering | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mixed Diffuse and Specular Reflection | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pass Through | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Pressure Level Calculation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Specular Reflection | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Stick | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Boundary Impedance Models (Impedance), Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Absorption Coefficient | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Characteristic Specific Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cylindrical wave | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Plane wave | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Spherical wave | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Physiological | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Human ear drum | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Human ear without pinna | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Human ear, full | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Human skin | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Outward human ear radiation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Porous Layer | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Select the porous layer properties from the list of Poroacoustic models | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              RCL | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Options for all permutations of an RCL circuit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Waveguide end impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Flanged pipe, circular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Flanged pipe, rectangular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Unflanged pipe, circular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Unflanged pipe, circular (low ka limit) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Boundary Impedance Models (Impedance), Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General local reacting (rational approximation) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Serial coupling RCL | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User defined (resistive) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Boundary Impedance Models (Impedance), Transient | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General local reacting (rational approximation) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Serial coupling RCL | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User defined (resistive) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics (FEM Based) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cylindrical Wave Radiation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Exterior Field Calculation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Acceleration | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Perforated Plate | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Sound Hard Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Matched Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Acceleration | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Perfectly Matched Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Plane Wave Radiation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Soft Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Spherical Wave Radiation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Boundary Layer Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Transfer Matrix Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Interior Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Membrane | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Perforated Plate | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Porous Mass Layer | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thin Plate | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Interior Lumped Speaker Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Connection to Circuit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Lumped Port | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Connection to Circuit, Two-port, or Waveguide | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Lumped Speaker Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Connection to Circuit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Periodic Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antiperiodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Continuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cyclic Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Floquet Periodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Port | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Annular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Circular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Numeric | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Rectangular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Slit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined (nondispersive) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Boundary Elements | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Excluded Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Acceleration | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Acceleration | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Soft Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pressure Acoustics, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Exterior Field Calculation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Flux/Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Interior Flux | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Material Discontinuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Soft Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Material Discontinuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Receiver | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Diffuse Scattering | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mixed Diffuse and Specular Reflections | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Specular Reflection | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Interior Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Temperature Variation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure (Adiabatic) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Slip Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Surface Tension | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry Condition | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Interior Lumped Speaker Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Connection to Circuit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Lumped Port | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Connection to Circuit, Two-port, or Waveguide | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Lumped Speaker Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Connection to Circuit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Mechanical Conditions | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Boundary Stress | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | No Slip | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | No Stress | 
              | 
              | 
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              | 
              | 
            
            
             | Slip (ideal) | 
              | 
              | 
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              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
              Periodic Condition | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Antiperiodicity | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Continuity | 
              | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cyclic Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Floquet Periodicity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Port | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Circular (0,0)-mode | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
            
            
             | Numeric (0,0)-mode | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Plane Wave | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Slit (0,0)-mode | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermal Conditions | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Adiabatic | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Heat Flux | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Isothermal | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Temperature Variation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Convected Wave Equation, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Acoustic Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Flux/Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Interior Flux | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Hard Wall | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Nonlinear Pressure Acoustics, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Compute Maximum and Minimum Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Flux/Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Interior Flux | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Interior Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Material Discontinuity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Normal Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Hard Boundary (Wall) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Sound Soft Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Symmetry | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
            
             | Mass Flow Circular Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mass Flow Edge Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mass Flow Line Source on Axis | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Mass Flow Point Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Edges | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Fluid Properties | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Initial Values | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pipe Properties | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Volume Force | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Points | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Closed | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Velocity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              End Impedance | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Flanged Pipe, Circular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Flanged Pipe, Rectangular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Infinite Pipe | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Infinite Pipe (Low Mach Number Limit) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Unflanged Pipe, Circular | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Unflanged Pipe, Circular (Low ka Limit) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Pressure | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Dipole Point Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Power | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Line Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Gaussian Pulse | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Intensity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Power | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Monopole Point Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Flow | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Gaussian Pulse | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Intensity | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Power | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Quadrupole Point Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Power (lateral) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Power (longitudinal) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Added Mass | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Edge and Point Load | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Fixed Constraint | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Prescribed Displacement | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Spring Foundation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Liquids and Gases | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Piezoelectric | 
              | 
              | 
              | 
              | 
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              | 
            
            
              Thermodynamics: Predefined System | 
              | 
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             | Dry air | 
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             | Moist air | 
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             | Water-steam | 
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              Acoustic BEM-FEM Boundary | 
              | 
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              | 
              | 
            
            
             | For Coupling: Pressure Acoustics, Boundary Elements to Pressure Acoustics, Frequency Domain | 
              | 
              | 
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              Impedance (subfeature) | 
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             | Membrane | 
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             | Perforated Plate | 
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             | Porous Mass Layer | 
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             | Thin Plate | 
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             | User Defined | 
              | 
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              | 
              | 
              | 
            
            
              Acoustic Streaming Boundary Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Pressure Acoustics, Frequency Domain to a Fluid Flow Interface | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics, Frequency Domain to a Fluid Flow Interface | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Acoustic–Porous Boundary | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Pressure Acoustics (FEM/BEM) to Poroelastic Waves | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
            
            
              Acoustic–Structure Boundary | 
              | 
              | 
              | 
              | 
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              | 
              | 
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              | 
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              | 
              | 
            
            
             | Thermoviscous Boundary Layer Impedance (subfeature) | 
              | 
              | 
              | 
              | 
              | 
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              | 
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              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
            
             | Pressure Acoustics (FEM/BEM) to Layered Shell1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure Acoustics (FEM/BEM) to Membrane (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure Acoustics (FEM/BEM) to Multibody Dynamics1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure Acoustics (FEM/BEM) to Shell (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure Acoustics (FEM/BEM) to Solid Mechanics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Acoustic–Structure Boundary, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Nonlinear Pressure Acoustics, Time Explicit to Elastic Waves, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure Acoustics, Time Explicit to Elastic Waves, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Acoustic–Thermoviscous Acoustic Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Pressure Acoustics (FEM/BEM) to Thermoviscous Acoustics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Aeroacoustic–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Linearized Navier-Stokes to Layered Shell1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Linearized Navier-Stokes to Membrane (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Linearized Navier-Stokes to Multibody Dynamics1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Linearized Navier-Stokes to Shell (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Linearized Navier-Stokes to Solid Mechanics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Convected Acoustic–Structure Boundary, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Convected Wave Equation, Time Explicit to Elastic Waves, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pair Acoustic–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Pressure Acoustics to Solid Mechanics (for an assembly geometry) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pair Acoustic–Structure Boundary, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Nonlinear Pressure Acoustics, Time Explicit to Elastic Waves, Time Explicit on a geometric assembly | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Pressure Acoustics, Time Explicit to Elastic Waves, Time Explicit on a geometric assembly | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pair Acoustic–Thermoviscous Acoustic Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Pressure Acoustics to Thermoviscous Acoustics (for an assembly geometry) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pair Convected Acoustic–Structure Boundary, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Convected Wave Equation, Time Explicit to Elastic Waves, Time Explicit on a geometric assembly | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Pair Thermoviscous Acoustic–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Thermoviscous Acoustics to Solid Mechanics (for an assembly geometry) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Porous–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Poroelastic Material to Layered Shell1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Poroelastic Material to Membrane (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Poroelastic Material to Multibody Dynamics1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Poroelastic Material to Shell (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Poroelastic Material to Solid Mechanics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Thermoviscous Acoustics to Layered Shell1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Membrane (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Multibody Dynamics1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Shell (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Solid Mechanics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Thermal Perturbation Boundary1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Thermoviscous Acoustics to Heat Transfer in Solids1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Thermoelasticity Boundary1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Thermoviscous Acoustics to Thermoelasticity1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustics SLNS–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Thermoviscous Acoustics to Layered Shell1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Membrane (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Multibody Dynamics1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Shell (interior and exterior)1 | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics to Solid Mechanics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Acoustic–Pipe Acoustic Connection | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Pressure Acoustics (FEM) to Pipe Acoustics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
              Acoustic Streaming Domain Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Pressure Acoustics, Frequency Domain to a Fluid Flow interface | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics, Frequency Domain to a Fluid Flow interface | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Aeroacoustic Flow Source Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | For Coupling: Fluid Flow (LES or DES) to Pressure Acoustics, Frequency Domain | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Background Fluid Flow Coupling | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Fluid Flow to Convected Wave Equation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Fluid Flow to Linearized Euler | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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             | Fluid Flow to Linearized Navier–Stokes | 
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              Background Potential Flow Coupling | 
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             | For Coupling: Compressible Potential Flow to Linearized Potential Flow | 
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              Lorentz Coupling2 | 
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             | For Coupling: Magnetic Fields to Solid Mechanics2 | 
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              Magnetic Forces2 | 
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             | For Coupling: Solid Mechanics to Magnetic Fields, No Currents2 | 
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              Magnetomechanical Forces2 | 
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             | For Coupling: Solid Mechanics to Magnetic Fields2 | 
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              Nonlinear Magnetostriction2 | 
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             | Solid Mechanics to Magnetic Fields2 | 
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             | Solid Mechanics to Rotating Machinery, Magnetic2 | 
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              Piezoelectricity | 
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             | For Coupling: Solid Mechanics to Electrostatics | 
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              Piezoelectricity, Time Explicit | 
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             | For Coupling: Elastic Waves, Time Explicit to Electrostatics | 
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              Piezomagnetism2 | 
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             | Solid Mechanics to Magnetic Fields2 | 
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             | Solid Mechanics to Rotating Machinery, Magnetic2 | 
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              Acoustic Streaming for Pressure Acoustics | 
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             | Acoustic Streaming Boundary Coupling | 
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             | Acoustic Streaming Domain Coupling | 
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             | Laminar Flow | 
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             | Pressure Acoustics, Frequency Domain | 
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              Acoustic Streaming for Thermoviscous Acoustics | 
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             | Acoustic Streaming Boundary Coupling | 
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             | Acoustic Streaming Domain Coupling | 
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             | Laminar Flow | 
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             | Thermoviscous Acoustics, Frequency Domain | 
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              Acoustic–Piezoelectric Interaction, Frequency Domain | 
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             | Acoustic–Structure Boundary | 
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             | Piezoelectric Effect | 
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             | Electrostatics | 
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             | Pressure Acoustics, Frequency Domain | 
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             | Solid Mechanics | 
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              Acoustic–Piezoelectric Interaction, Transient | 
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             | Acoustic–Structure Boundary | 
              | 
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             | Piezoelectric Effect | 
              | 
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             | Electrostatics | 
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             | Pressure Acoustics, Transient | 
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             | Solid Mechanics | 
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              Acoustic–Poroelastic Waves Interaction | 
              | 
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             | Acoustic–Porous Boundary | 
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             | Poroelastic Waves | 
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             | Pressure Acoustics, Frequency Domain | 
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              Acoustic–Shell Interaction, Frequency Domain1 | 
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              | 
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             | Acoustic–Structure Boundary | 
              | 
              | 
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             | Pressure Acoustics, Frequency Domain | 
              | 
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             | Shell | 
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              Acoustic–Shell Interaction, Transient1 | 
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             | Acoustic–Structure Boundary | 
              | 
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             | Pressure Acoustics, Transient | 
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             | Shell | 
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              Acoustic–Solid Interaction, Frequency Domain | 
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              | 
            
            
            
             | Acoustic–Structure Boundary | 
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              | 
            
            
            
             | Pressure Acoustics, Frequency Domain | 
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             | Solid Mechanics | 
              | 
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              | 
            
            
              Acoustic–Solid Interaction, Time Explicit | 
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              | 
            
            
            
             | Acoustic–Structure Boundary, Time Explicit | 
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             | Elastic Waves, Time Explicit | 
              | 
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              | 
              | 
            
            
             | Pressure Acoustics, Time Explicit | 
              | 
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              | 
            
            
              Acoustic–Solid Interaction, Transient | 
              | 
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              | 
              | 
            
            
            
             | Acoustic–Structure Boundary | 
              | 
              | 
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              | 
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              | 
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              | 
              | 
              | 
            
            
            
             | Pressure Acoustics, Transient | 
              | 
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              | 
            
            
             | Solid Mechanics | 
              | 
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              | 
              | 
              | 
            
            
              Acoustic–Solid–Poroelastic Waves Interaction | 
              | 
              | 
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              | 
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              | 
              | 
              | 
            
            
            
             | Acoustic–Porous Boundary | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
              | 
            
            
             | Acoustic–Structure Boundary | 
              | 
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              | 
              | 
            
            
             | Porous–Structure Boundary | 
              | 
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              | 
              | 
              | 
              | 
              | 
            
            
            
             | Poroelastic Waves | 
              | 
              | 
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              | 
              | 
            
            
             | Pressure Acoustics, Frequency Domain | 
              | 
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              | 
              | 
            
            
             | Solid Mechanics | 
              | 
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              | 
              | 
              | 
            
            
              Acoustic–Thermoviscous Acoustic Interaction, Frequency Domain | 
              | 
              | 
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              | 
              | 
              | 
            
            
            
             | Acoustic–Thermoviscous Acoustic Boundary | 
              | 
              | 
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              | 
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              | 
              | 
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              | 
              | 
              | 
            
            
            
             | Pressure Acoustics, Frequency Domain | 
              | 
              | 
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              | 
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              | 
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              | 
            
            
             | Thermoviscous Acoustic, Frequency Domain | 
              | 
              | 
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              | 
              | 
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              | 
              | 
            
            
              Thermoviscous Acoustic–Shell Interaction, Frequency Domain1 | 
              | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
            
            
            
             | Thermoviscous Acoustic–Structure Boundary | 
              | 
              | 
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             | Shell | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics, Frequency Domain | 
              | 
              | 
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              | 
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              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
              Thermoviscous Acoustic–Solid Interaction, Frequency Domain | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Thermoviscous Acoustic–Structure Boundary | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Solid Mechanics | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermoviscous Acoustics, Frequency Domain | 
              | 
              | 
              | 
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              Thermoviscous Acoustic–Thermoelasticity Interaction, Frequency Domain1 | 
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             | Thermoviscous Acoustics–Thermoelasticity Boundary1 | 
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             | Thermoelasticity | 
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             | Thermoviscous Acoustics, Frequency Domain | 
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              Thermoviscous Acoustic–Thermoelasticity Interaction, Transient1 | 
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             | Thermoviscous Acoustics–Thermoelasticity Boundary1 | 
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             | Thermoelasticity | 
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             | Thermoviscous Acoustics, Transient | 
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             | 2D Histogram | 
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             | Beam Width Calculation | 
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             | Directivity (plot) | 
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             | Directivity Index Calculation | 
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             | Intersection Point 2D (dataset) | 
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             | Intersection Point 3D (dataset) | 
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             | Octave Band (plot) | 
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             | Phase Portrait | 
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             | Poincaré Map | 
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             | Radiation Pattern (plot) | 
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             | Ray (dataset) | 
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             | Ray (plot) | 
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             | Ray Bin (dataset) | 
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             | Ray Evaluation | 
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             | Ray Trajectories | 
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             | Receiver (dataset) | 
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              Impulse Response (plot) | 
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             | Energy Decay (plot) | 
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             | AWE Expression | 
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             | Release from Exterior Field Calculation | 
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             | Source with Directivity | 
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             | 1D, 2D, 2D Axisymmetric, and 3D Formulations | 
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             | Infinite Acoustic Domain Modeling with Absorbing Layers | 
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             | Infinite Acoustic Domain Modeling with Perfectly Matched Layers | 
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             | Infinite Solid Domain Modeling with Perfectly Matched Layers | 
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             | Initial Values | 
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             | Background Acoustic Fields | 
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             | Domain Sources | 
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             | First Order Material Parameters | 
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              Compressible Potential Flow Model | 
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             | FEM Formulation | 
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              Linearized Euler Model | 
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             | Galerkin Least Squares (GLS) Stabilized FEM Formulation | 
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              Linearized Navier–Stokes Model | 
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             | Galerkin Least Squares (GLS) Stabilized FEM Formulation | 
            
            
              Linearized Potential Flow Model | 
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             | FEM Formulation | 
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             | Initial Stress and Strain Tensors | 
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              Anisotropic Poroelastic Material | 
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             | Biot Model (viscous losses) | 
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             | Biot–Allard Model (thermal and viscous losses) | 
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              FEM and dG-FEM Formulations | 
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             | dG-FEM Formulation for Elastic Waves, Time Explicit | 
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             | FEM Formulation for Solid Mechanics and Poroelastic Waves | 
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              Linear Elastic Material Model | 
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             | Isotropic | 
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             | Orthotorpic and Anisotropic | 
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             | Isotropic and Anisotropic Loss Factor | 
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             | Maximum Loss Factor | 
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             | Rayleigh Damping | 
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             | Viscous Damping | 
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             | Wave Attenuation | 
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              Piezoelectric Waves, Time Explicit | 
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             | Charge Conservation, Piezoelectric | 
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             | Mechanical Damping | 
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             | Piezoelectric Material | 
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              Poroelastic Material (Biot's Theory) | 
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             | Biot Model (viscous losses) | 
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             | Biot–Allard Model (thermal and viscous losses) | 
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              Solid Mechanics | 
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             | Added Mass | 
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             | Body Load | 
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             | Fixed Constraint | 
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             | Geometric Nonlinearity | 
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             | Gravity | 
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             | Piezoelectric Material | 
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             | Piezomagnetic Material2 | 
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             | Prescribed Acceleration | 
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             | Prescribed Displacement | 
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             | Prescribed Velocity | 
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             | Rotating Frame | 
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             | Spring Foundation | 
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             | Domain Source | 
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             | Fitted Domain | 
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             | Room | 
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              Acoustic Diffusion Model | 
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             | FEM Formulation | 
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              Ray and Domain Properties | 
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             | Accumulator | 
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              | 
            
            
             | Auxilliary Dependent Variables | 
              | 
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             | Background Velocity | 
              | 
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             | Calculation of Ray Intensity | 
              | 
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             | Medium Properties | 
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             | Phase Calculation | 
              | 
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             | Ray Detector | 
              | 
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             | Ray Termination | 
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              Ray Release | 
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             | Release | 
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             | Release from Boundary | 
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             | Release from Data File | 
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             | Release from Edge | 
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             | Release from Grid | 
              | 
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             | Release from Point | 
              | 
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             | Conical | 
              | 
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             | Expression | 
              | 
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             | Hemispherical | 
              | 
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             | Lambertian | 
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             | Spherical | 
              | 
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              | 
              | 
              | 
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              | 
              | 
              | 
            
            
            
             | Anisotropic Acoustics | 
              | 
              | 
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              | 
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              | 
            
            
             | Flame Model (n-tau) | 
              | 
              | 
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             | Heat Source | 
              | 
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              | 
            
            
             | Monopole and Dipole Domain Source | 
              | 
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              | 
            
            
             | Poroacoustics (for Pressure Acoustics, Time Explicit) | 
              | 
              | 
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              | 
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              | 
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              | 
              | 
              | 
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              | 
              | 
            
            
              Aeroacoustic Flow Source | 
              | 
              | 
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              | 
              | 
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              | 
              | 
              | 
              | 
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              | 
              | 
            
            
             | Aeroacoustic Wave Equation | 
              | 
              | 
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              | 
              | 
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              | 
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              | 
              | 
              | 
            
            
             | Lighthill | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
              Anisotropic Poroacoustics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
            
            
             | Johnson-Champoux-Allard (JCA) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
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              | 
              | 
            
            
             | Johnson-Champoux-Allard-Lafarge (JCAL) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | Johnson-Champoux-Allard-Pride-Lafarge (JCAPL) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Background Pressure Field | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Cylindrical Wave | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Plane Wave | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Spherical Wave | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              FEM, BEM, and dG-FEM Formulations | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | BEM Formulation for Pressure Acoustics, Boundary Elements | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | dG-FEM Formulation for Pressure Acoustics, Time Explicit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | FEM Formulation for Pressure Acoustics, Frequency Domain and Pressure Acoustics, Transient | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Stabilized BEM Formulation for Pressure Acoustics, Boundary Elements | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Fluid Model | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Atmosphere Attenuation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | General Dissipation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Ideal Gas | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Linear Elastic | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Ocean Attenuation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermally Conducting | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Thermally Conducting and Viscous | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User–Defined Attenuation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Viscous | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Kirchhoff–Helmholtz (HFBEM) Formulation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Radiating Object | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Scattering Object | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Narrow Region Acoustics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Circular Duct | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Equilateral Triangular Duct | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Rectangular Duct | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Slit | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Very Narrow Circular Duct (Isothermal) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Wide Duct Approximation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Poroacoustics | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Attenborough | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Biot Parameters (defined in JCA model) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Delaney-Bazley-Miki | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Johnson-Champoux-Allard (JCA) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Johnson-Champoux-Allard-Lafarge (JCAL) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Johnson-Champoux-Allard-Pride-Lafarge (JCAPL) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Limp and Rigid Porous Matrix Approximations | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Three-parameter approximation JCAL model | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Williams EDFM (equivalent density fluid model) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Wilson | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Wood (model for a suspension) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Zwikker-Kosten | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
            
             | Heat Source | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Background Acoustic Fields | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Plane Wave | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | User Defined | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Nonlinear Thermoviscous Acoustics Contributions (for Time Dependent models) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | Galerkin Least Squares (GLS) Stabilized FEM Formulation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustic Model (Sequential Linearized Navier-Stokes or SLNS) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | FEM Formulation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
              Thermoviscous Acoustics Model (Thermally-Conducting Viscous Fluid Model: Linearized Navier–Stokes, Continuity, and Energy Equations in Quiescent Conditions) | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
            
            
             | FEM Formulation | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
              | 
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             | Domain Sources | 
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              Convected Wave Equation Model (Linearized Euler Equation with Adiabatic Assumption) | 
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             | dG-FEM (Time Explicit) Formulation | 
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              Nonlinear Pressure Acoustics, Time Explicit Model (Westervelt equivalent) | 
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             | dG-FEM (Time Explicit) Formulation | 
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