Book Description
Introduction to Computational Fluid Dynamics is a selfcontained introduction to a new subject, arising through the amalgamation of classical fluid dynamics and numerical analysis supported by powerful computers. Written in the style of a text book for advanced level B.Tech, M.Tech and M.Sc. students of various science and engineering disciplines. It introduces the reader to finitedifference and finitevolume methods for studying and analyzing linear and nonlinear problems of fluid flow governed by inviscid incompressible and compressible Euler equations as also incompressible and compressible viscous flows governed by boundarylayer and NavierStokes equations. Simple turbulence modelling has been presented.
Table of Contents
 Cover
 Title page
 Contents
 About the Authors
 Dedication
 Preface

Part I Finite Difference Method for Partial Differential Equations

Chapter 1. Introduction and Mathematical Preliminaries
 1.1 Introduction
 1.2 Typical Partial Differential Equations in Fluid Dynamics
 1.3 Types of Secondorder Equations
 1.4 Wellposed Problems
 1.5 Properties of Linear and Quasilinear Equations
 1.6 Physical Character of Subsonic and Supersonic Flows
 1.7 Secondorder Wave Equations
 1.8 System of Firstorder Equations
 1.9 Weak Solutions
 1.10 Summary
 1.11 Key Terms
 Chapter 2. Finite Difference and Finite Volume Discretisations

Chapter 3. Equations of Parabolic Type
 3.1 Introduction
 3.2 Finite Difference Scheme for Heat Conduction Equation
 3.3 CrankNicholson Implicit Scheme
 3.4 Analogy with Schemes for Ordinary Differential Equations
 3.5 A Note on Implicit Methods
 3.6 Leapfrog and DuFort–Frankel Schemes
 3.7 Operator Notation
 3.8 The Alternating Direction Implicit (ADI) Method
 3.9 Summary
 3.10 Key Terms
 3.11 Exercise 3

Chapter 4. Equations of Hyperbolic Type
 4.1 Introduction
 4.2 Explicit Schemes
 4.3 LaxWendroff Scheme and Variants
 4.4 Implicit Schemes
 4.5 More on Upwind Schemes
 4.6 Scalar Conservation Law: LaxWendroff and Related Schemes
 4.7 Hyperbolic System of Conservation Laws
 4.8 Secondorder Wave Equation
 4.9 Method of Characteristics for Secondorder Hyperbolic Equations
 4.10 Model Convection–Diffusion Equation
 4.11 Summary
 4.12 Key Terms
 4.13 Exercise 4

Chapter 5. Equations of Elliptić Type
 5.1 Introduction
 5.2 The Laplace Equation in Two Dimension
 5.3 Iterative Methods for Solution of Linear Algebraic Systems
 5.4 Solution of the Pentadiagonal System
 5.5 Approximate Factorisation Schemes
 5.6 Grid Generation Example
 5.7 Bodyfitted Grid Generation Using Elliptictype Equations
 5.8 Some Observations of AF Schemes
 5.9 Multigrid Method
 5.10 Summary
 5.11 Key Terms
 5.12 Exercise 5
 Chapter 6. Equations of Mixed Elliptic–Hyperbolic Type

Chapter 1. Introduction and Mathematical Preliminaries

Part II Computational Fluid Dynamics

Chapter 7. The Basic Equations of Fluid Dynamics
 7.1 Introduction
 7.2 Basic Conservation Principles
 7.3 Unsteady Navier–Stokes Equations in Integral Form
 7.4 Navier–Stokes Equations in Differential Form
 7.5 Boundary Conditions for Navier–Stokes Equations
 7.6 Reynolds Averaged Navier–Stokes Equations
 7.7 Boundarylayer, Thinlayer and Associated Approximations
 7.8 Euler Equations for Inviscid Flows
 7.9 Boundary Conditions for Euler Equations
 7.10 The Full Potential Equation
 7.11 Inviscid Incompressible Irrotational Flow
 7.12 Summary
 7.13 Key Terms
 Chapter 8. Grid Generation
 Chapter 9. Inviscid Incompressible Flow

Chapter 10. Inviscid Compressible Flow
 10.1 Introduction
 10.2 Smallperturbation Flow
 10.3 Numerical Solution of the Full Potential Equation
 10.4 Full Potential Solution in Generalised Coordinates
 10.5 Observations on the Full Potential Model
 10.6 Euler Model
 10.7 Boundary Conditions
 10.8 Computed Examples Based on the Euler Model
 10.9 Supersonic Flow Field Computation
 10.10 Summary
 10.11 Key Terms
 10.12 Exercise 10
 Chapter 11. Boundary Layer Flow
 Chapter 12. Viscous Incompressible Flow

Chapter 13. Viscous Compressible Flow
 13.1 Introduction
 13.2 Dynamic Similarity
 13.3 RANS (Reynolds Averaged Compressible NavierStokes) Equations
 13.4 Turbulence Modelling
 13.5 Boundary Conditions
 13.6 Basic Computational Methods for Compressible Flow
 13.7 Finite Volume Computation in 2D
 13.8 Solution Procedure
 13.9 Computational Results
 13.10 Summary
 13.11 Key Terms
 13.12 Exercise 13

Chapter 7. The Basic Equations of Fluid Dynamics
 Appendix A: Glossary
 Appendix B: Readymade Softwares for CFD
 Appendix C: Programs in the ‘C’ Language
 Appendix D: Answers and Hints to Solutions
 Bibliography
 Acknowledgements
 Copyright
Product Information
 Title: Introduction to Computational Fluid Dynamics
 Author(s):
 Release date: February 2006
 Publisher(s): Pearson India
 ISBN: 9788177587647