Computational Fluid Dynamics

The second edition of Computational Fluid Dynamics represents a significant improvement from the first edition. However, the original idea of including all computational fluid dynamics methods (FDM, FEM, FVM); all mesh generation schemes; and physical applications to turbulence, combustion, acoustics, radiative heat transfer, multiphase flow, electromagnetic flow, and general relativity is still maintained. This unique approach sets this book apart from its competitors and allows the instructor to adopt this book as a text and choose only those subject areas of his or her interest. The second edition includes a new section on preconditioning for EBE-GMRES and a complete revision of the section on flowfield-dependent variation methods, which demonstrates more detailed computational processes and includes additional example problems. For those instructors desiring a textbook that contains homework assignments, a variety of problems for FDM, FEM, and FVM are included in an appendix. To facilitate students and practitioners intending to develop a large-scale computer code, an example of FORTRAN code capable of solving compressible, incompressible, viscous, inviscid, 1D, 2D, and 3D for all speed regimes using the flowfield-dependent variation method is made available. "In this second edition of Computational Fluid Dynamics, the author presents up-to-date treatments of all computational methods of fluid dynamics, while maintaining the original idea of including all computational fluid dynamics methods. The breadth of information sets this book apart from its competitors and allows the instructor to adopt this book, selecting only those subject areas of his or her interest. The second edition includes a new section on preconditioning for EBE-GMRES and a complete revision of the section on flow field-dependent variation methods, which demonstrates more detailed computational processes and includes additional example problems. Homework examples facilitate students and practitioners intending to develop a large-scale computer code"-- "The development of modern computational fluid dynamics (CFD) began with the advent of the digital computer in the early 1950s. Finite difference methods (FDM) and finite element methods (FEM), which are the basic tools used in the solution of partial differential equations in general and CFD in particular, have different origins. In 1910, at the Royal Society of London, Richardson presented a paper on the first FDM solution for the stress analysis of a masonry dam. In contrast, the first FEM work was published in the Aeronautical Science Journal by Turner, Clough, Martin, and Topp for applications to aircraft stress analysis in 1956. Since then, both methods have been developed extensively in fluid dynamics"-- Machine generated contents note: 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. "The development of modern computational fluid dynamics (CFD) began with the advent of the digital computer in the early 1950s. Finite difference methods (FDM) and finite element methods (FEM), which are the basic tools used in the solution of partial differential equations in general and CFD in particular, have different origins. In 1910, at the Royal Society of London, Richardson presented a paper on the first FDM solution for the stress analysis of a masonry dam. In contrast, the first FEM work was published in the Aeronautical Science Journal by Turner, Clough, Martin, and Topp for applications to aircraft stress analysis in 1956. Since then, both methods have been developed extensively in fluid dynamics"-- Provided by publisher