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《计算流体动力学导论:有限体积法(第2版)(英文版)》内容简介:We were pleasantly surprised by the ready acceptance of the first edition of our book by the CFD community and by the amount of positive feedback received over a period of 10 years. To us this has provided justification of our original plan, which was to provide an accessible introduction to this fast-growing topic to *** teaching at senior undergraduate level, post- graduate research and new industrial users of commercial CFD codes. Our second edition seeks to enhance and update. The structure and didactic approach of the first edition have been retained without change, but aug- mented by a selection of the most important developments in CFD.

Preface

Acknowledgements

1 Introduction

1.1 What is CFD?

1.2 How does a CFD code work?

1.3 Problem solving with CFD

1.4 Scope of this book

2 C***ervation laws of fluid motion and boundary conditi***

2.1 Governing equati*** of fluid flow and heat transfer

2.2 Equati*** of state

2.3 Navier-Stokes equati*** for a Newtonian fluid

2.4 C***ervative form of the governing equati*** of fluid flow

2.5 Differential and integral forms of the general transport equati***

2.6 Classification of physical behaviours

2.7 The role of characteristics in hyperbolic equati***

2.8 Classification method for *** PDEs

2.9 Classification of fluid flow equati***

2.10 Auxiliary conditi*** for viscous fluid flow equati***

2.11 Problems in transonic and supersonic compressible flows

2.12 Summary

3 Turbulence and its modelling

3.1 What is turbulence?

3.2 Transition from laminar to turbulent }low

3.3 Descriptors of turbulent flow

3.4 Characteristics of *** turbulent flows

3.5 The effect of turbulent fluctuati*** on properties of the mean flow

3.6 Turbulent flow calculati***

3.7 Reynolds-averaged Navier-Stokes equati*** and classical turbulence models

3.8 Large eddy simulation

3.9 Direct numerical simulation

3.10 Summary

4 The finite volume method for diffusion problems

4.1 Introduction

4.2 Finite volume method for one-dimensional steady state diffusion

4.3 Worked examples： one-dimensional steady state diffusion

4.4 Finite volume method for two-dimensional diffusion problems

4.5 Finite volume method for three-dimensional diffusion problems

4.6 Summary

5 The finite volume method for convection-diffusion problems

5.1 Introduction

5.2 Steady one-dimensional convection and diffusion

5.3 The central differencing scheme

5.4 Properties of discretisation schemes

5.5 Assessment of the central differencing scheme for convectiondiffusion problems

5.6 The upwind differencing scheme

5.7 The hybrid differencing scheme

5.8 The power-law scheme

5.9 Higher-order differencing schemes for convection-diffusion problems

5.10 TVD schemes

5.11 Summary

6 Solution algorithms for pressure-velocity

6.1 Introduction

6.2 The staggered grid

6.3 The momentum equati***

*** The SIMPLE algorithm

6.5 Assembly ora complete method

6.6 The SIMPLER algorithm

6.7 The SIMPLEC algorithm

6.8 The PISO algorithm

6.9 General comments on SIMPLE， SIMPLER， SIMPLEC and PISO

6.10 Worked examples of the SIMPLE algorithm

6.11 Summary

7 Solution of discretised equati***

7.1 Introduction

7.2 The TDMA

7.3 Application of the TDMA to two-dimensional problems

7.4 Application of the TDMA to three-dimensional problems

7.5 Examples

7.6 Point4***tive methods

7.7 Multigrid techniques

7.8 Summary

8 the finite volume method for unsteady flows

8.1 Introduction

8.2 One-dimensional unsteady heat conduction

8.3 Illustrative examples

8.4 Implicit method for two- and three-dimensional problems

8.5 Discretisation of transient convection-diffusion equation

8.6 Worked example of transient convection-diffusion using QUICK differencing

8.7 Solution procedures for unsteady flow calculati***

8.8 Steady state calculati*** using the pseudo-transient approach

8.9 A brief note on other transient schemes

8.10 Summary

9 Implementation of boomfary conffti***

9.1 Introduction

9.2 Inlet boundary conditi***

9.3 Outlet boundary conditi***

9.4 Wall boundary conditi***

9.5 The c***tant pressure boundary condition

9.6 Symmetry boundary condition

9.7 Periodic or cyclic boundary condition

9.8 Potential pitfalls and final remarks

10 Errors and uncertainty in CFD modelling

10.1 Errors and uncertainty in CFD

10.2 Numerical errors

10.3 Input uncertainty

10.4 Physical model uncertainty

10.5 Verification and validation

10，6 Guidelines for best practice in CFD

10.7 Reporting/documentation of CFD simulation inputs and results

10.8 Summary

11 Methods for dealing with complex geometries

11.1 Introduction

11.2 Body-fitted co.ordinate grids for complex geometries

11.3 Catesian vs. curvilinear grids - an example

11.4 Curvilinear grids - difficulties

11.5 Block-structured grids

11.6 Unstructured grids

11.7 Discretisation in unstructured grids

11.8 Discretisafion of the diffusion term

11.9 Discretisafion of the convective term

11.10 Treatment of source terms

11.11 Assembly of discretised equati***

11.12 Example calculati*** with unstructured grids

11.13 Pressure-velocity coupling in unstructured meshes

11.14 Staggered vs. co-located grid arrangements

11.15 Extension of the face velocity interpolation method to unstructured meshes

11.16 Summary

12 CFD modelling of combustion

12.1 Introduction

12.2 Application of the first law of thermodynamics to a combustion system

12.3 Enthalpy of formation

12.4 Some important relati***hips and properties of gaseous mixtures

12.5 Stoichiometry

12.6 Equivalence ratio

12.7 Adiabatic flame temperature

12.8 Equilibrium and dissociation

12.9 Mechanisms of combustion and chemical kinetics

12.10 Overall reacti*** and intermediate reacti***

12.11 Reaction rate

12.12 Detailed mechanisms

12.13 Reduced mechanisms

12.14 Governing equati*** for combusting flows

12.15 The *** chemical reacting system (SCRS)

12.16 Modelling of a laminar diffusion flame - an example

12.17 CFD calculation of turbulent non-premixed combustion

12.18 SCRS model for turbulent combustion

12.19 Probability density function approach

12.20 Beta pdf

12.21 The chemical equilibrium model

12.22 Eddy break-up model of combustion

12.23 Eddy dissipation concept

12.24 Laminar flamelet model

12.25 Generation oflaminar， flamelet libraries

12.26 Statistics of the non-equilibrium parameter

12.27 Pollutant formation in combustion

12.28 Modelling of thermal NO formation in combustion

12.29 Flamelet-based NO modelling

12.30 An example to illustrate laminar flamelet modelling and NO modelling of a turbulent flame

12.31 Other models for non-premixed combustion

12.32 Modelling ofpremixed combustion

12.33 Summary

13 Numedcal calculation of radiative heat transfer

13.1 Introduction

13.2 Governing equati*** of radiative heat transfer

13.3 Solution methods

13.4 Four popular radiation calculation techniques suitable for CFD

13.5 Illustrative examples

13.6 Calculation of radiative properties in gaseous mixtures

13.7 Summary

Appendix A Accuracy of a flow simulation

Appendix B Non-uniform grids

Appendix C Calculation of source terms

Appendix D Limiter functi*** used in Chapter 5

Appendix E Derivation of one-dimensional governing equati*** for steady， incompressible flow through a planar nozzle

Appendix F Alternative derivation for the term (n . grad Ai) in Chapter 11

Appendix G Some examples

Bibliography

Index

H K Versteeg and W Malalasekera are both senior lecturers in Thermo-Fluids, at Loughborough University

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书籍介绍

《计算流体动力学导论:有限体积法(第2版)(英文版)》内容简介:We were pleasantly surprised by the ready acceptance of the first edition of our book by the CFD community and by the amount of positive feedback received over a period of 10 years. To us this has provided justification of our original plan, which was to provide an accessible introduction to this fast-growing topic to *** teaching at senior undergraduate level, post- graduate research and new industrial users of commercial CFD codes. Our second edition seeks to enhance and update. The structure and didactic approach of the first edition have been retained without change, but aug- mented by a selection of the most important developments in CFD.