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.
Dr Christopher Tam is the Robert O. Lawton Distinguished Professor in the Department of Mathematics at Florida State University. His research in computational mathematics and numerical simulation involves the development of low dispersion and dissipation computation schemes, numerical boundary conditions and the mathematical analysis of the scheme's computational properties for use in large scale numerical simulation of a number of real-world problems. Additionally he is developing jet and other aircraft noise theories as well as prediction codes for NASA and the US aircraft industry's noise reduction effort.