Spring 2002 Computational Acoustics
Detailed List of Topics

• 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
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• 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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