Preface
Chapter 1 Introduction to the Equations of Fluid Dynamics and the Finite Element Approximation
Chapter 2 Convection-Dominated Problems: Finite Element Approximations to the Convection-Diffusion-Reaction Equation
Chapter 3 The Characteristic-Based Split (CBS) Algorithm: A General Procedure for Compressible and Incompressible Flow
Chapter 4 Incompressible Newtonian Laminar Flows
Chapter 5 Incompressible Non-Newtonian Flows
Chapter 6 Free Surface and Buoyancy Driven Flows
Chapter 7 Compressible High-Speed Gas Flow
Chapter 8 Turbulent Flows
Chapter 9 Generalized Flow and Heat Transfer in Porous Media
Chapter 10 Shallow-Water Problems
Chapter 11 Long and Medium Waves
Chapter 12 Short Waves
Chapter 13 Fluid-Structure Interaction
Chapter 14 Biofluid Dynamics
Chapter 15 Computer Implementation of the CBS Algorithm
APPENDIX A Self-Adjoint Differential Equation
APPENDIX B Nonconservative Form of Navier-Stokes Equations
APPENDIX C Computing the Drag Force and Stream Function
APPENDIX D Convection-Diffusion Equations: Vector-Valued Variables
APPENDIX E Integration Formula
APPENDIX F Edge-Based Finite Element Formulation
APPENDIX G Boundary Layer-Inviscid Flow Coupling
APPENDIX H Multigrid Method
APPENDIX I Mass-Weighted Averaged Turbulence Transport Equations
Author Index
Subject Index