Computational Fluid Dynamics

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Cambridge University Press, Feb 7, 2002 - Juvenile Nonfiction - 1012 pages
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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.
 

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Contents

Governing Equations
29
PART TWO FINITE DIFFERENCE METHODS
43
Solution Methods of Finite Difference Equations
63
Incompressible Viscous Flows via Finite Difference Methods
106
Compressible Flows via Finite Difference Methods
120
Finite Volume Methods via Finite Difference Methods
218
PART THREE FINITE ELEMENT METHODS
241
Finite Element Interpolation Functions
262
Adaptive Methods
607
Computing Techniques
644
References
674
Applications to Chemically Reactive Flows and Combustion
724
Applications to Acoustics
796
Applications to Combined Mode Radiative Heat Transfer
841
Applications to Multiphase Flows
902
Applications to Electromagnetic Flows
927

Linear Problems
309
Nonlinear ProblemsConvectionDominated Flows
347
Incompressible Viscous Flows via Finite Element Methods
399
Compressible Flows via Finite Element Methods
418
Miscellaneous Weighted Residual Methods
462
Interaction
486
Relationships between Finite Differences and Finite Elements
509
PART FOUR AUTOMATIC GRID GENERATION ADAPTIVE METHODS
531
Unstructured Grid Generation
581
Applications to Relativistic Astrophysical Flows
955
Astrophysical Flows
967
Appendix A ThreeDimensional Flux Jacobians
979
Appendix B Gaussian Quadrature
985
Two Phase Flow Source Term Jacobians for Surface Tension
993
Relativistic Astrophysical Flow Metrics Christoffel Symbols
999
Index
1007
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