Description
Book SynopsisThis book focuses on computational techniques for high-speed gas flows, especially gas flows containing shocks and other steep gradients. It reviews gasdynamics and computational techniques and then discusses the basic principles of computational gasdynamics, describing both basic techniques and advanced techniques.
Trade Review'Computational Gasdynamics, by Culbert Laney, is a wonderful resource. It belongs in the library of any engineer solving problems in compressible flow. It will make an excellent text, but perhaps not for introductory courses. This reviewer commends the author for organising this material and presenting it in clear, concise and understandable manner.' S. Eberhardt, European Journal of Mechanics
Table of ContentsPreface; 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.
