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Books, Free Shipping, An Introduction To Computational Fluid Dynamics The Finite Volume Method Secon

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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 support 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.




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 Conservation laws of fluid motion and boundary conditions

2.1 Governing equations of fluid flow and heat transfer

2.2 Equations of state

2.3 Navier-Stokes equations for a Newtonian fluid

2.4 Conservative form of the governing equations of fluid flow

2.5 Differential and integral forms of the general transport equations

2.6 Classification of physical behaviours

2.7 The role of characteristics in hyperbolic equations

2.8 Classification method for simple PDEs

2.9 Classification of fluid flow equations

2.10 Auxiliary conditions for viscous fluid flow equations

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 simple turbulent flows

3.5 The effect of turbulent fluctuations on properties of the mean flow

3.6 Turbulent flow calculations

3.7 Reynolds-averaged Navier-Stokes equations 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 equations

6.4 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 equations

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 Point4terative 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 calculations

8.8 Steady state calculations using the pseudo-transient approach

8.9 A brief note on other transient schemes

8.10 Summary

9 Implementation of boomfary confftions

9.1 Introduction

9.2 Inlet boundary conditions

9.3 Outlet boundary conditions

9.4 Wall boundary conditions

9.5 The constant 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 equations

11.12 Example calculations 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 relationships 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 reactions and intermediate reactions

12.11 Reaction rate

12.12 Detailed mechanisms

12.13 Reduced mechanisms

12.14 Governing equations for combusting flows

12.15 The simple 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 equations 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 functions used in Chapter 5

Appendix E Derivation of one-dimensional governing equations 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



Product Details

Author H.K.Versteeg

Press World Publishing Corporation

Isbn 9787510005572, 7510005574

Publication Date April 2010

Pages 503

Size 16K

Edition Second

Cover Paperback

Language English

Page material gelatine plate paper

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