Computational fluid dynamics: principles and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
2007
|
| Ausgabe: | 2. ed., Reprinted |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 470 S. graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 0080448577 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804139000496128000 |
|---|---|
| adam_text | IMAGE 1
COMPUTATIONAL FLUID DYNAMICS:
PRINCIPLES AND APPLICATIONS SECOND EDITION
J. BLAZEK
CFD CONSULTING AND ANALYSIS, ST AUGUSTIN, GERMANY
2005
ELSEVIER
AMSTERDAM * BOSTON * HEIDELBERG * LONDON * NEW YORK OXFORD * PARIS * SAN
DIEGO * SAN FRANCISCO * SINGAPORE * SYDNEY * TOKYO
IMAGE 2
CONTENTS
ACKNOWLEDGEMENTS XI
LIST OF SYMBOLS XIII
ABBREVIATIONS XIX
1 INTRODUCTION 1
2 GOVERNING EQUATIONS 5
2.1 THE FLOW AND ITS MATHEMATICAL DESCRIPTION 5
2.2 CONSERVATION LAWS 8
2.2.1 THE CONTINUITY EQUATION 8
2.2.2 THE MOMENTUM EQUATION 8
2.2.3 THE ENERGY EQUATION 10
2.3 VISCOUS STRESSES 13
2.4 COMPLETE SYSTEM OF THE NAVIER-STOKES EQUATIONS 16
2.4.1 FORMULATION FOR A PERFECT GAS 18
2.4.2 FORMULATION FOR A REAL GAS 19
2.4.3 SIMPLINCATIONS TO THE NAVIER-STOKES EQUATIONS 22
BIBLIOGRAPHY 26
3 PRINCIPLES OF SOLUTION OF THE GOVERNING EQUATIONS 29
3.1 SPATIAL DISCRETISATION 32
3.1.1 FINITE DIFFERENCE METHOD 36
3.1.2 FINITE VOLUME METHOD 37
3.1.3 FINITE ELEMENT METHOD 39
3.1.4 OTHER DISCRETISATION METHODS 40
3.1.5 CENTRAL AND UPWIND SCHEMES 41
3.2 TEMPORAL DISCRETISATION 45
3.2.1 EXPLICIT SCHEMES 46
3.2.2 IMPLICIT SCHEMES 49
3.3 TURBULENCE MODELLING 53
3.4 INITIAL AND BOUNDARY CONDITIONS 56
BIBLIOGRAPHY 58
V
IMAGE 3
STRUCTURED FINITE VOLUME SCHEINES 77
4.1 GEOMETRICAL QUANTITIES OF A CONTROL VOLUME 81
4.1.1 TWO-DIMENSIONAL CASE 81
4.1.2 THREE-DIMENSIONAL CASE 82
4.2 GENERAL DISCRETISATION METHODOLOGIES 85
4.2.1 CELL-CENTRED SCHEME 85
4.2.2 CELL-VERTEX SCHEME: OVERLAPPING CONTROL VOLUMES . . .. 87 4.2.3
CELL-VERTEX SCHEME: DUAL CONTROL VOLUMES 90
4.2.4 CELL-CENTRED VERSUS CELL-VERTEX SCHEMES 93
4.3 DISCRETISATION OF THE CONVECTIVE FLUXES 95
4.3.1 CENTRAL SCHEME WITH ARTIFICIAL DISSIPATION 97
4.3.2 FLUX-VECTOR SPLITTING SCHEMES 100
4.3.3 FLUX-DIFFERENCE SPLITTING SCHEMES 108
4.3.4 TOTAL VARIATION DIMINISHING SCHEMES 111
4.3.5 LIMITER FUNCTIONS 112
4.4 DISCRETISATION OF THE VISCOUS FLUXES 118
4.4.1 CELL-CENTRED SCHEME 120
4.4.2 CELL-VERTEX SCHEME 121
BIBLIOGRAPHY 122
UNSTRUCTURED FINITE VOLUME SCHEMES 131
5.1 GEOMETRICAL QUANTITIES OF A CONTROL VOLUME 136
5.1.1 TWO-DIMENSIONAL CASE 136
5.1.2 THREE-DIMENSIONAL CASE 138
5.2 GENERAL DISCRETISATION METHODOLOGIES 141
5.2.1 CELL-CENTRED SCHEME 142
5.2.2 MEDIAN-DUAL CELL-VERTEX SCHEME 145
5.2.3 CELL-CENTRED VERSUS MEDIAN-DUAL SCHEME 149
5.3 DISCRETISATION OF THE CONVECTIVE FLUXES 153
5.3.1 CENTRAL SCHEMES WITH ARTIFICIAL DISSIPATION . . . . . . .. 153
5.3.2 UPWIND SCHEMES 157
5.3.3 SOLUTION RECONSTRUCTION 157
5.3.4 EVALUATION OF THE GRADIENTS 163
5.3.5 LIMITER FUNCTIONS 168
5.4 DISCRETISATION OF THE VISCOUS FLUXES 172
5.4.1 ELEMENT-BASED GRADIENTS 172
5.4.2 AVERAGE OF GRADIENTS 174
BIBLIOGRAPHY . 177
TEMPORAL DISCRETISATION 183
6.1 EXPLICIT TIME-STEPPING SCHEMES 184
6.1.1 MULTISTAGE SCHEMES (RUNGE-KUTTA) 184
6.1.2 HYBRID MULTISTAGE SCHEMES 186
6.1.3 TREATMENT OF THE SOURCE TERM 187
6.1.4 DETERMINATION OF THE MAXIMUM TIME STEP 188
6.2 IMPLICIT TIME-STEPPING SCHEMES 192
IMAGE 4
VN
6.2.1 MATRIX FORM OF THE IMPLICIT OPERATOR 193
6.2.2 EVALUATION OF THE FLUX JACOBIAN 197
6.2.3 ADI SCHEME 201
6.2.4 LU-SGS SCHEME 204
6.2.5 NEWTON-KRYLOV METHOD 210
6.3 * METHODOLOGIES FOR UNSTEADY FLOWS 214
6.3.1 DUAL TIME-STEPPING FOR EXPLICIT MULTISTAGE SCHEMES . . . 215 6.3.2
DUAL TIME-STEPPING FOR IMPLICIT SCHEMES 217
BIBLIOGRAPHY 218
7 TURBULENCE MODELLING 227
7.1 BASIC EQUATIONS OF TURBULENCE 230
7.1.1 REYNOLDS AVERAGING 231
7.1.2 FAVRE (MASS) AVERAGING 232
7.1.3 REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS 233
7.1.4 FAVRE- AND REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS . 234 7.1.5
EDDY-VISCOSITY HYPOTHESIS 235
7.1.6 NON-LINEAR EDDY VISCOSITY 237
7.1.7 REYNOLDS-STRESS TRANSPORT EQUATION 238
7.2 FIRST-ORDER CLOSURES 240
7.2.1 SPALART-ALLMARAS ONE-EQUATION MODEL 240
7.2.2 K-E TWO-EQUATION MODEL 243
7.2.3 SST TWO-EQUATION MODEL OF MENTER 247
7.3 LARGE-EDDY SIMULATION 250
7.3.1 SPATIAL FILTERING 251
7.3.2 FILTERED GOVERNING EQUATIONS 252
7.3.3 SUBGRID-SCALE MODELLING 254
7.3.4 WALL MODELS 257
7.3.5 DETACHED EDDY SIMULATION 258
BIBLIOGRAPHY 259
8 BOUNDARY CONDITIONS 271
8.1 CONCEPT OF DUMMY CELLS 272
8.2 SOLID WALL 274
8.2.1 INVISCID FLOW 274
8.2.2 VISCOUSFLOW 279
8.3 FARFIELD 281
8.3.1 CONCEPT OF CHARACTERISTIC VARIABLES 281
8.3.2 MODIFICATIONS FOR LIFTING BODIES 283
8.4 INLET/OUTLET BOUNDARY 287
8.5 INJECTION BOUNDARY 289
8.6 SYMMETRY PLANE 290
8.7 COORDINATE CUT 291
8.8 PERIODIC BOUNDARIES 292
8.9 INTERFACE BETWEEN GRID BLOCKS 295
8.10 FLOW GRADIENTS AT BOUNDARIES OF UNSTRUCTURED GRIDS 298
IMAGE 5
VLLL
BIBLIOGRAPHY 299
9 ACCELERATION TECHNIQUES 303
9.1 LOCAL TIME-STEPPING 304
9.2 ENTHALPY DAMPING 305
9.3 RESIDUAL SMOOTHING 306
9.3.1 CENTRAL IRS ON STRUCTURED GRIDS 306
9.3.2 CENTRAL IRS ON UNSTRUCTURED GRIDS 309
9.3.3 UPWIND IRS ON STRUCTURED GRIDS , 309
9.4 MULTIGRID 312
9.4.1 BASIC MULTIGRID CYCLE 313
9.4.2 MULTIGRID STRATEGIES 315
9.4.3 IMPLEMENTATION ON STRUCTURED GRIDS 316
9.4.4 IMPLEMENTATION ON UNSTRUCTURED GRIDS 322
9.5 PRECONDITIONING FOR LOW MACH NUMBERS 327
9.5.1 DERIVATION OF PRECONDITIONED EQUATIONS 328
9.5.2 IMPLEMENTATION 330
9.5.3 FORM OF THE MATRICES 331
BIBLIOGRAPHY 342
10 CONSISTENCY, ACCURACY AND STABILITY 351
10.1 CONSISTENCY REQUIREMENTS 352
10.2 ACCURACY OF DISCRETISATION 353
10.3 VON NEUMANN STABILITY ANALYSIS 354
10.3.1 FOURIER SYMBOL AND AMPLIFICATION FACTOR 354
10.3.2 CONVECTION MODEL EQUATION 355
10.3.3 CONVECTION-DIFFUSION MODEL EQUATION 356
10.3.4 EXPLICIT TIME-STEPPING 357
10.3.5 IMPLICIT TIME-STEPPING 363
10.3.6 DERIVATION OF THE CFL CONDITION 367
BIBLIOGRAPHY 370
11 PRINCIPLES OF GRID GENERATION 373
11.1 STRUCTURED GRIDS 376
11.1.1 C-, H-, AND O-GRID TOPOLOGY 377
11.1.2 ALGEBRAIC GRID GENERATION 379
11.1.3 ELLIPTIC GRID GENERATION 383
11.1.4 HYPERBOLIC GRID GENERATION F . 385
11.2 UNSTRUCTURED GRIDS 388
11.2.1 DELAUNAY TRIANGULATION 389
11.2.2 ADVANCING-FRONT METHOD 394
11.2.3 GENERATION OF ANISOTROPIE GRIDS 395
11.2.4 MIXED-ELEMENT/HYBRID GRIDS 400
11.2.5 ASSESSMENT AND IMPROVEMENT OF GRID QUALITY 402
BIBLIOGRAPHY 405
IMAGE 6
IX
12 D E S C R I P T I ON OF T HE SOURCE C O D ES 415
12.1 PROGRAMS FOR STABILITY ANALYSIS 417
12.2 STMCTURED 1-D GRID GENERATOR 417
12.3 STRUCTURED 2-D GRID GENERATORS 418
12.4 STRUCTURED TO UNSTRUCTURED GRID CONVERTER 419
12.5 QUASI 1-D EULER SOLVER 419
12.6 STRUCTURED 2-D EULER/NAVIER-STOKES SOLVER 420
12.7 UNSTRUCTURED 2-D EULER/NAVIER-STOKES SOLVER 421
12.8 VISUALISATION TOOL 423
BIBLIOGRAPHY 423
A APPENDIX 427
A.L GOVERNING EQUATIONS IN DIFFERENTIAL FORM 427
A.2 QUASILINEAR FORM OF THE EULER EQUATIONS 433
A.3 MATHEMATICAL CHARACTER OF THE GOVERNING EQUATIONS 434
A.3.1 HYPERBOLIC EQUATIONS 434
A.3.2 PARABOLIC EQUATIONS 436
A.3.3 ELLIPTIC EQUATIONS 436
A.4 NAVIER-STOKES EQUATIONS IN ROTATING FRAME OF REFERENCE 438
A.5 NAVIER-STOKES EQUATIONS FORMULATED FOR MOVING GRIDS 441
A.6 THIN SHEAR LAYER APPROXIMATION 445
A.7 PARABOLISED NAVIER-STOKES EQUATIONS 447
A.8 AXISYMMETRIC FORM OF THE NAVIER-STOKES EQUATIONS 448
A.9 CONVECTIVE FLUX JACOBIAN 450
A.10 VISCOUS FLUX JACOBIAN 452
A.LL TRANSFORMATION FROM CONSERVATIVE TO CHARACTERISTIC VARIABLES . .
455 A.12 GMRES ALGORITHM 458
A.13 TENSOR NOTATION 462
BIBLIOGRAPHY 463
INDEX 465
|
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| spelling | Blazek, Jiri Verfasser aut Computational fluid dynamics principles and applications J. Blazek 2. ed., Reprinted Amsterdam [u.a.] Elsevier 2007 XX, 470 S. graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Numerische Strömungssimulation (DE-588)4690080-9 s 2\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017444347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Blazek, Jiri Computational fluid dynamics principles and applications Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4077970-1 (DE-588)4690080-9 |
| title | Computational fluid dynamics principles and applications |
| title_auth | Computational fluid dynamics principles and applications |
| title_exact_search | Computational fluid dynamics principles and applications |
| title_full | Computational fluid dynamics principles and applications J. Blazek |
| title_fullStr | Computational fluid dynamics principles and applications J. Blazek |
| title_full_unstemmed | Computational fluid dynamics principles and applications J. Blazek |
| title_short | Computational fluid dynamics |
| title_sort | computational fluid dynamics principles and applications |
| title_sub | principles and applications |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Numerisches Verfahren Strömungsmechanik Numerische Strömungssimulation |
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