Computational Gasdynamicsby Culbert B. Laney
Pub. Date: 12/28/2010
Publisher: Cambridge University Press
Numerical methods are indispensable tools in the analysis of complex fluid flows. This book focuses on computational techniques for high-speed gas flows, especially gas flows containing shocks and other steep gradients.The book begins with a review of gasdynamics and computational techniques. Next come basic principles of computational gasdynamics. The last two parts cover basic techniques and advanced techniques. Every method is tested on the same carefully constructed set of test problems, which helps to expose similarities and differences under actual performance conditions.
- Cambridge University Press
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- 6.97(w) x 9.96(h) x 1.38(d)
Table of Contents
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.
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