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[按需印刷]计算流体力学原理

9787030166777

176.32 全新

库存8件

江西吉安

认证卖家担保交易快速发货售后保障

作者韦斯林（PieterWesseling）著

出版社科学出版社

ISBN9787030166777

出版时间2020-01

装帧平装

页数660页

货号737774385876

上书时间2023-11-30

白鹭洲书院

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计算流体力学原理

ISBN
9787030166777

定价
198

作者
（荷）韦斯林（Wesseling P.）著著; 编; 译;

开本
B5

装帧
平装

页数
660

出版时间
2016年05月

出版社
科学出版社

目录

Table of Contents

Preface iii

1.The basic equations of fiuid dynamics 1

1.1 Introduction 1

1.2 Vector analysis 5

1.3 The total derivative and the transport theorem 9

1.4 Conservation of mass 12

1.5 Conservation of momentum 13

1.6 Conservation of energy 19

1.7 Thermodynamic aspects 22

1.8 Bernoulli's theorem 26

1.9 Kelvin's circulation theorem and potential flow 28

1.10 The Euler equations 32

1.11 The convection-diffusion equation 33

1.12 Conditions for incompressible flow 34

1.13 Turbulence 37

1.14 Stratified flow and free convection 43

1.15 Moving frame of reference 47

1.16 The shallow-water equations 48

2.Partial differential equations: analytic aspects 53

2.1 Introduction 53

2.2 Classification of partial differential equations 54

2.3 Boundary conditions 61

2.4 Maximum principles 66

2.5 Boundary layer theory 70

3.Finite volume and fìnite difference discretization on

nonuniform grids 81

3.1 Introduction 81

3.2 An elliptic equation 82

3.3 A one-dimensional example 84

3.4 Vertex-centered discretization 88

3.5 Cell-centered discretization ， 94

3.6 Upwind discretization 96

3.7 Nonuniform grids in one dimension 99

4.The stationary convection-diffusion equation 111

4.1 Introduction 111

4.2 Finite volume discretization of the stationary convectiondiffusion equation in one dimension 113

4.3 Numerical experiments on locally refined one-dimensional grid 120

4.4 Schemes of positive type 122

4.5 Upwind discretization 126

4.6 Defect correction 129

4.7 Péclet-independent accuracy in two dimensions 133

4.8 More accurate discretization of the convection term 148

5.The nonstationary convection-diffusion equation 163

5.1 Introduction 163

5.2 Example of instability 1…

5.3 Stability definitions 166

5 4 The discrete maximum principle 170

5.5 Fourier stability analysis 171

5.6 Principles of von Neumann stability analysis 174

5.7 Useful properties of the symbol 178

5.8 Derivation of von Neumann stability conditions 184

5.9 Numerical experiments 208

5.10 Strong stability 217

6.The incompressible Navier-Stokes equations 227

6.1 Introduction 227

6.2 Equations of motion and boundary conditions 227

6.3 Spatial discretization on colocated grid 232

6.4 Spatial discretization on staggered grid 240

6.5 On the choice of boundary conditions 244

6.6 Temporal discretization on staggered grid 249

6.7 Temporal discretization on colocated grid 261

7.Iterative methods 263

7.1 Introduction 263

7.2 Stationary iterative methods 2…

7.3 Krylov subspace methods 270

7.4 Multigrid methods 285

7.5 Fast Poisson solvers 292

7.6 Iterative methods for the incompressible Navier-Stokes equations 293

8.The shallow-water equations 305

8.1 Introduction 305

8.2 The one-dimensional case 305

8.3 The two-dimensional case 323

9.Scalar conservation laws 339

9.1 Introduction 339

9.2 Godunov's order barrier theorem 339

9.3 Linear schemes 346

9.4 Scalar conservation laws 361

10.The Euler equations in one space dimension 397

10.1 Introduction 397

10.2 Analytic aspects 397

10.3 The approximate Riemann solver of Roe 414

10.4 The Osher scheme 425

10.5 Flux splitting schemes 436

10.6 Numerical stability 442

10.7 The Jameson-Schmidt-Turkel scheme 447

10.8 Higher order schemes 456

11.Discretization in general domains 467

11.1 Introduction 467

11.2 Three types of grid 467

11.3 Boundary-fitted grids 470

11.4 Basic geometric properties of grid cells 474

11.5 Introduction to tensor analysis 484

11.5.1 Invariance 485

11.5.2 The geometric quantities 490

11.5.3 Tensor calculus 498

11.5.4 The equations of motion in general coordinates 501

12.Numerical solution of the Euler equations in general domains 503

12.1 Introduction 503

12.2 Analytic aspects 503

12.3 Cell-centered finite volume discretization on boundary-fitted grids 511

12.4 Numerical boundary conditions 518

12.5 Temporal discretization 525

13.Numerical solution of the Navier-Stokes equations in general domains 531

13.1 Introduction 531

13.2 Analytic aspects 531

13.3 Colocated scheme for the compressible Navier-Stokes equations 533

13.4 Colocated scheme for the incompressible Navier-Stokes equations 535

13.5 Staggered scheme for the incompressible Navier-Stokes equations 538

13.6 An application 557

13.7 Verification and validation 559

14.Unified methods for computing incompressible and compressible fiow 567

14.1 The need for unified methods 567

14.2 Difficulties with the zero Mach number limit 568

14.3 Preconditioning 571

14.4 Mach-uniform dimensionless Euler equations 578

14.5 A staggered scheme for fully compressible flow 583

14.6 Unified schemes for incompressible and compressible flow 589

References 603

Index 633
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[按需印刷]计算流体力学原理

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