Preface
1. Introduction
Part I. Gasdynamics Review: 2. Governing equations of gasdynamics
3. Waves
4. Scalar conservation laws
5. The Riemann problem
Part II. Computational Review: 6. Numerical error
7. Orthogonal functions
8. Interpolation
9. Piecewise-polynomial reconstruction
10. Numerical calculus
Part III. Basic Principles of Computational Gasdynamics: 11. Conservation and other basic principles
12. The CFL condition
13. Upwind and adaptive stencils
14. Artificial viscosity
15. Linear stability
16. Non-linear stability
Part IV. Basic Methods of Computational Gasdynamics: 17. Basic numerical methods for scalar conservation laws
18. Basic numerical methods for the Euler equations
19. Boundary treatments
Part V. Advanced Methods of Computational Gasdynamics: 20. Flux averaging I: flux-limited methods
21. Flux averaging II: flux-corrected methods
22. Flux averaging III: self-adjusting hybrid methods
23. Solution averaging: reconstruction-evolution methods
24. A brief introduction to multi-dimensions
Index.
