# Spring 2002 Computational Acoustics

Detailed List of Topics

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- Numerical analysis review (overflow, roundoff error, etc.)
- Introduction to Unix
- Mail, Telnet, Printing, Ftp, xhost, vi
- Mathematica
- Symbolic computations
- Finite difference solutions to the 1 way wave equation
- truncation error
- stability
- dissipation/dispersion
- high order schemes / the dispersion relation preserving scheme

- Finite differences for the 2 way wave equation
- Finite differences for the bending wave equation
- Xgraph
- Multidimensional finite differences
- Beowulf clusters and an MPI example
- HDF / Tecplot
- Finite difference boundary conditions
- rigid
- pressure release
- absorbing/radiation

- Parabolic equation method (PE)
- Fast field program (FFP)
- Propagation method summary
- k-space method for propagation in tissue
- Finite difference solution to the Helmholtz equation
- Finite element (FE) equations from Lagrange's formulation
- FE extended example: closed - closed pipe
- Sysnoise FE equations
- IDEAS mesh generation
- Sysnoise FE analysis
- IDEAS postprocessing
- Frequency response analysis
- Method of weighted residuals, Galerkin method, Rayleigh Ritz method
- Review of Green's functions
- Collocation Boundary element method (BEM) theory
- Collocation BEM examples
- Node duplication, jacobians, Sysnoise collocation BEM
- Sysnoise variational BEM
- Sources, scattering, postprocessing
- Halfspace, Baffled, IDEAS meshes
<- Coupled analysis: fluid-structure interaction
- theory
- Sysnoise structural models
- example: coupled cavity

- Tables and contribution analysis
- Sensitivity analysis
- Sysnoise time domain FE analysis
- Sparrow's mid-frequency range finite element (MFR-FE) approach
- COMET/Acoustics demos
- Use of color in scientific visualization
- Infinite elements: theory and example
- Project presentations
- Wrap up

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Most recent update: 4/25/2002

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