Computational fluid dynamics (CFD) techniques are used to study and solve complex fluid flow and heat transfer problems. This comprehensive text ranges from elementary concepts for the beginner to state-of-the-art CFD for the practitioner. It discusses and illustrates the basic principles of finite difference (FD), finite element (FE), and finite volume (FV) methods, with step-by-step hand calculations. Chapters go on to examine structured and unstructured grids, adaptive methods, computing techniques, and parallel processing. Finally, the author describes a variety of practical applications to problems in turbulence, reacting flows and combustion, acoustics, combined mode radiative heat transfer, multiphase flows, electromagnetic fields, and relativistic astrophysical flows. Students and practitioners--particularly in mechanical, aerospace, chemical, and civil engineering--will use this authoritative text to learn about and apply numerical techniques to the solution of fluid dynamics problems.

### Contents

Part I. Preliminaries: 1. Introduction; 2. Governing equations; Part II. Finite Difference Methods: 3. Derivation of finite difference equations; 4. Solution methods of finite difference equations; 5. Incompressible viscous flows via Finite Difference Methods; 6. Compressible flows via Finite Difference Methods; 7. Finite volume methods via Finite Difference Methods; Part III. Finite Element Methods: 8. Introduction to finite element methods; 9. Finite element interpolation functions; 10. Linear problems; 11. Nonlinear problems/convection-dominated flows; 12. Incompressible viscous flows via Finite Element Methods; 13. Compressible flows via Finite Element Methods; 14. Miscellaneous weighted residual methods; 15. Finite volume methods via Finite Element Methods; 16. Relationships between finite differences and finite elements and other methods; Part IV. Automatic Grid Generation, Adaptive Methods and Computing Techniques: 17. Structured grid generation; 18. Unstructured grid generation; 19. Adaptive methods; 20. Computing techniques; Part V. Applications: 21. Applications to turbulence; 22. Applications to chemically reactive flows and combustion; 23. Applications to acoustics; 24. Applications to combined mode radiative heat transfer; 25. Applications to multiphase flows; 26. Applications to electromagnetic flows; 27. Applications to relativistic astrophysical flows; Appendices.

### Prize Winner

2002 Choice Outstanding Academic Title Award Winner

### Reviews

"The book not only serves as a valuable reference for the practitioner, but also a self sufficient resource for the beginner...The book is well structured and proceeds from one level to the next without ambiguity...Chung is to be commended for his elucidating and thorough approach to all aspects of computional fluid dynamics." Choice

"The treatment is thorough, and a number of detailed example applications are provided...This book is well written and well indexed. Readers should have no trouble finding the topic of interest and following the clearly written text. It is an excellent tool for those who need an introduction to CFD, as well as for those who perform CFD calculations routinely, including researchers, students and those in industry." Chemical Engineering Progress

"This comprehensive book ranges from elementary concepts for the beginner to state-of-the-art CFD for the practitioner." Mechanical Engineering

"...this book constitutes an extremely valuable contribution to the technical CFD literature....I highly recommend it for the library of any institution of individual conducting fundamental or applied research in CFD." Book Reviews