Cambridge University Press, 2002. 1012 p. ISBN:0-521-59416-2
Contents
Part One. Preliminaries
Introduction
Goveing Equations
Part two. Finite difference methods
Derivation of Finite Difference Equations
Solution Methods of Finite Difference Equations
Incompressible Viscous Flows via Finite Difference Methods
Сompressible Flows via Finite Difference Methods
Finite Volume Methods via Finite Difference Methods
Part three. Finite element methods
Introduction to Finite Element Methods
Finite Element Interpolation Functions
Linear Problems
Nonlinear Problems/Conuection-Dominated Flows
Incompressible Viscous Flows via Finite Element Methods
Compressible Flows via Finite Element Methods
Miscellaneous Weighted Residual Methods
Finite Volume Methods via Finite Element Methods
Relationships between Finite Differences and Finite Elements and Other Methods
Part four. Automatic grid generation, adaptive methods,
And computing techniques
Structured Grid Generation
Unstructured Grid Generation
Adaptive Methods
Computing Techniques
Part five. Applications
Applications to Turbulence
Applications to Chemically Reactive Flows and Combustion
Applications to Acoustics
Applications to Combined Mode Radiative Heat Transfer
Applications to Multiphase Flows
Applications to Electromagnetic Flows
Applications to Relativistic Astrophysical Flows
Appendixes
AppendixA
Appendix B
Appendix C
Appendix D
Three-Dimensional Flux Jacobians
Gaussian Quadrature
Two Phase Flow - Source Term Jacobians for Surface Tension
Relativistic Astrophysical Flow Metrics, Christoffel Symbols,
and FDV Flux and Source Term Jacobians
Index
Contents
Part One. Preliminaries
Introduction
Goveing Equations
Part two. Finite difference methods
Derivation of Finite Difference Equations
Solution Methods of Finite Difference Equations
Incompressible Viscous Flows via Finite Difference Methods
Сompressible Flows via Finite Difference Methods
Finite Volume Methods via Finite Difference Methods
Part three. Finite element methods
Introduction to Finite Element Methods
Finite Element Interpolation Functions
Linear Problems
Nonlinear Problems/Conuection-Dominated Flows
Incompressible Viscous Flows via Finite Element Methods
Compressible Flows via Finite Element Methods
Miscellaneous Weighted Residual Methods
Finite Volume Methods via Finite Element Methods
Relationships between Finite Differences and Finite Elements and Other Methods
Part four. Automatic grid generation, adaptive methods,
And computing techniques
Structured Grid Generation
Unstructured Grid Generation
Adaptive Methods
Computing Techniques
Part five. Applications
Applications to Turbulence
Applications to Chemically Reactive Flows and Combustion
Applications to Acoustics
Applications to Combined Mode Radiative Heat Transfer
Applications to Multiphase Flows
Applications to Electromagnetic Flows
Applications to Relativistic Astrophysical Flows
Appendixes
AppendixA
Appendix B
Appendix C
Appendix D
Three-Dimensional Flux Jacobians
Gaussian Quadrature
Two Phase Flow - Source Term Jacobians for Surface Tension
Relativistic Astrophysical Flow Metrics, Christoffel Symbols,
and FDV Flux and Source Term Jacobians
Index