2014•CERN Document Server (European Organization for Nuclear Research)Open access

Computational Aeroacoustics: A Wave Number Approach

Christopher K. W. Tam

Abstract

1. Finite difference equations 2. Spatial discretization in wave number space 3. Time discretization 4. Finite difference scheme as dispersive waves 5. Finite difference solution of the Euler equations 6. Radiation, outflow, and wall boundary conditions 7. The short wave component of finite difference schemes 8. Nonlinear acoustic waves and shocks 9. Advanced numerical boundary treatments 10. Time domain impedance boundary condition 11. Extrapolation and interpolation 12. Multi-scales problems 13. Complex geometry 14. Continuation of a near field acoustic solution to the far field 15. CAA code design and applications.

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Key concepts: Computational aeroacoustics, Discretization, Mathematics, Finite difference, Mathematical analysis, Euler equations, Extrapolation, Boundary (topology)