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An Introduction to Computational Fluid Dynamics: The Finite Volume Method

by: Versteeg, H.; Malalasekra, W.

An Introduction to Computational Fluid Dynamics: The Finite Volume Method

by: Versteeg, H.; Malalasekra, W.

ISBN 13:
9780582218840
ISBN 10:
0582218845
Format: Paperback
Copyright: 01/01/2007
Publisher: Prentice Hall
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Summary

This book presents some of the fundamentals of computational fluid dynamics for the novice. It provides a thorough yet user-friendly introduction to the governing equations and boundary conditions of viscous fluid flows, turbulence and its modelling and the finite volume method of solving flow patters on a computer.

Preface

Acknowledgements

Introduction

(9)

What is CFD?

(1)

How does a CFD code work?

(3)

Problem solving with CFD

(3)

Scope of this book

(2)

Conservation Laws of Fluid Motion and Boundary Conditions

(31)

Governing equations of fluid flow and heat transfer

(11)

Mass conservation in three dimensions

(2)

Rates of change following a fluid particle and for a fluid element

(1)

Momentum equation in three dimensions

(3)

Energy equation in three dimensions

(4)

Equations of state

(1)

Navier-Stokes equations for a Newtonian fluid

(3)

Conservative form of the governing equations of fluid flow

(1)

Differential and integral forms of the general transport equations

(2)

Classification of physical behaviour

(3)

The role of characteristics in hyperbolic equations

(2)

Classification method for simple partial differential equations

(2)

Classification of fluid flow equations

(1)

Auxiliary conditions for viscous fluid flow equations

(1)

Problems in transonic and supersonic compressible flows

(3)

Summary

(2)

Turbulence and its Modelling

(44)

What is turbulence?

(3)

Transition from laminar to turbulent flow

(5)

Effect of turbulence on time-averaged Navier-Stokes equations

(5)

Characteristics of simple turbulent flows

(8)

Free turbulent flows

(3)

Flat plate boundary layer and pipe flow

(5)

Summary

(1)

Turbulence models

(21)

Mixing length model

(3)

The k-E model

(8)

Reynolds stress equation models

(4)

Algebraic stress equation models

(1)

Some recent advances

(3)

Final remarks

(2)

The Finite Volume Method for Diffusion Problems

(18)

Introduction

(1)

Finite volume method for one-dimensional steady state diffusion

(2)

Worked examples: one-dimensional steady state diffusion

(11)

Finite volume method for two-dimensional diffusion problems

(1)

Finite volume method for three-dimensional diffusion problems

100

(2)

Summary of discretised equations for diffusion problems

102

(1)

The Finite Volume Method for Convection-Diffusion Problems

103

(32)

Introduction

103

(1)

Steady one-dimensional convection and diffusion

104

(1)

The central differencing scheme

105

(5)

Properties of discretisation schemes

110

(3)

Conservativeness

110

(2)

Boundedness

112

(1)

Transportiveness

112

(1)

Assessment of the central differencing scheme for convection-diffusion problems

113

(1)

The upwind differencing scheme

114

(6)

Assessment of the upwind differencing scheme

118

(2)

The hybrid differencing scheme

120

(4)

Assessment of the hybrid differencing scheme

123

(1)

Hybrid differencing scheme for multi-dimensional convection-diffusion

123

(1)

The power-law scheme

124

(1)

Higher order differencing schemes for convection-diffusion problems

125

(8)

Quadratic upwind differencing scheme: the QUICK scheme

125

(5)

Assessment of the QUICK scheme

130

(1)

Stability problems of the QUICK scheme and remedies

130

(2)

General comments on the QUICK differencing scheme

132

(1)

Other higher order schemes

133

(1)

Summary

133

(2)

Solution Algorithms for Pressure-Velocity Coupling in Steady Flows

135

(21)

Introduction

135

(1)

The staggered grid

136

(3)

The momentum equations

139

(3)

The SIMPLE algorithm

142

(4)

Assembly of a complete method

146

(1)

The SIMPLER algorithm

146

(2)

The SIMPLEC algorithm

148

(2)

The PISO algorithm

150

(2)

General comments on SIMPLE, SIMPLER, SIMPLEC and PISO

152

(2)

Summary

154

(2)

Solution of Discretised Equations

156

(12)

Introduction

156

(1)

The tri-diagonal matrix algorithm

157

(2)

Application of TDMA to two-dimensional problems

159

(1)

Application of the TDMA method to three-dimensional problems

159

(1)

Examples

160

(6)

Amazon no longer offers textbook rentals. We do!

An Introduction to Computational Fluid Dynamics: The Finite Volume Method

An Introduction to Computational Fluid Dynamics: The Finite Volume Method

9780582218840

0582218845

Summary

Table of Contents

Supplemental Materials

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