Essential computational fluid dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, N.J.
Wiley
2010
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 302 S. Ill., graph. Darst. |
| ISBN: | 9780470423295 |
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| 245 | 1 | 0 | |a Essential computational fluid dynamics |c Oleg Zikanov |
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| 300 | |a XVI, 302 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
ESSENTIAL
COMPUTATIONAL FLUID DYNAMICS
OLEG ZIKANOV
WILEY JOHN WILEY & SONS, INC.
IMAGE 2
CONTENTS
PREFACE XV
1 WHAT IS CFD? 1
1.1. INTRODUCTION / 1 1.2. BRIEF HISTORY OF CFD / 4 1.3. OUTLINE OF THE
BOOK / 6 REFERENCES AND SUGGESTED READING / 7
I FUNDAMENTALS 9
2 GOVERNING EQUATIONS OF FLUID DYNAMICS AND HEAT TRANSFER 11
2.1. PRELIMINARY CONCEPTS / 11 2.2. MASS CONSERVATION / 14 2.3.
CONSERVATION OF CHEMICAL SPECIES / 15 2.4. CONSERVATION OF MOMENTUM / 16
2.5. CONSERVATION OF ENERGY / 19 2.6. EQUATION OF STATE / 21 2.7.
EQUATIONS IN INTEGRAL FORM / 21 2.8. EQUATIONS IN CONSERVATION FORM / 24
2.9. EQUATIONS IN VECTOR FORM / 25 2.10. BOUNDARY CONDITIONS / 26
2.10.1. RIGID WALL BOUNDARY CONDITIONS / 27 2.10.2. INLET AND EXIT
BOUNDARY CONDITIONS / 29
2.10.3. OTHER BOUNDARY CONDITIONS / 29
VII
IMAGE 3
VIII CONTENTS
REFERENCES AND SUGGESTED READING / 30
PROBLEMS / 30
3 PARTIAL DIFFERENTIAL EQUATIONS 32
3.1. MODEL EQUATIONS; FORMULATION OF A PDE PROBLEM / 33 3.1.1. MODEL
EQUATIONS / 33 3.1.2. DOMAIN, BOUNDARY, AND INITIAL CONDITIONS / 35
3.1.3. EQUILIBRIUM AND MARCHING PROBLEMS / 36 3.1.4. EXAMPLES / 37 3.2.
MATHEMATICAL CLASSIFICATION OF PDE OF SECOND ORDER / 40
3.2.1. CLASSIFICATION / 40 3.2.2. HYPERBOLIC EQUATIONS / 42 3.2.3.
PARABOLIC EQUATIONS / 45 3.2.4. ELLIPTIC EQUATIONS / 46 3.3. NUMERICAL
DISCRETIZATION: DIFFERENT KINDS OF CFD / 46
3.3.1. SPECTRAL METHODS / 47 3.3.2. FINITE ELEMENT METHODS / 49 3.3.3.
FINITE DIFFERENCE AND FINITE VOLUME METHODS / 49 REFERENCES AND
SUGGESTED READING / 52 PROBLEMS / 52
4 BASICS OF FINITE DIFFERENCE APPROXIMATION 55
4.1. COMPUTATIONAL GRID / 55 4.1.1. TIME DISCRETIZATION / 55 4.1.2.
SPACE DISCRETIZATION / 56 4.2. FINITE DIFFERENCES AND INTERPOLATION / 57
4.2.1. APPROXIMATION OF * * /** / 57 4.2.2. TRUNCATION ERROR,
CONSISTENCY, ORDER OF APPROXIMATION / 58
4.2.3. OTHER FORMULAS FOR **/**: EVALUATION OF THE ORDER OF
APPROXIMATION / 60 4.2.4. SCHEMES OF HIGHER ORDER FOR FIRST DERIVATIVE /
62 4.2.5. HIGHER-ORDER DERIVATIVES / 63
4.2.6. MIXED DERIVATIVES / 64 4.2.7. TRUNCATION ERROR OF LINEAR
INTERPOLATION / 66 4.3. APPROXIMATION OF PARTIAL DIFFERENTIAL EQUATIONS
/ 67 4.3.1. APPROACH AND EXAMPLES / 67
IMAGE 4
CONTENTS IX
4.3.2. INTERPRETATION OF TRUNCATION ERROR: NUMERICAL DISSIPATION AND
DISPERSION / 70 4.3.3. BOUNDARY AND INITIAL CONDITIONS / 73 4.3.4.
CONSISTENCY OF NUMERICAL APPROXIMATION / 74 4.3.5. SYSTEM OF DIFFERENCE
EQUATIONS / 75 4.3.6. IMPLICIT AND EXPLICIT METHODS / 76 4.4.
DEVELOPMENT OF FINITE DIFFERENCE SCHEMES / 78
4.4.1. TAYLOR SERIES EXPANSIONS / 79 4.4.2. POLYNOMIAL FITTING / 82
REFERENCES AND SUGGESTED READING / 83 PROBLEMS / 83
5 FINITE VOLUME METHOD 86
5.1. INTRODUCTION AND INTEGRAL FORMULATION / 86 5.1.1. FINITE VOLUME
GRID / 87 5.1.2. GLOBAL CONSERVATION PROPERTY / 89
5.2. APPROXIMATION OF INTEGRALS / 91 5.2.1. VOLUME INTEGRALS / 91 5.2.2.
SURFACE INTEGRALS / 92 5.3. METHODS OF INTERPOLATION / 94
5.3.1. UPWIND INTERPOLATION / 95 5.3.2. LINEAR INTERPOLATION / 96 5.3.3.
UPWIND INTERPOLATION OF HIGHER ORDER / 98 5.3.4. INTERPOLATION ON
NONORTHOGONAL GRIDS / 99 5.4. BOUNDARY CONDITIONS / 101
REFERENCES AND SUGGESTED READING / 102 PROBLEMS / 102
6 STABILITY OF TRANSIENT SOLUTIONS 104
6.1. INTRODUCTION AND DEFINITION OF STABILITY / 104 6.1.1.
DISCRETIZATION AND ROUND-OFF ERROR / 106 6.1.2. DEFINITION / 107 6.2.
STABILITY ANALYSIS / 108
6.2.1. NEUMANN METHOD / 108 6.2.2. MATRIX METHOD / 1 16 6.3. IMPLICIT
VERSUS EXPLICIT SCHEMES-STABILITY AND EFFICIENCY CONSIDERATIONS / 118
REFERENCES AND SUGGESTED READING / 120
IMAGE 5
X CONTENTS
PROBLEMS / 120
7 APPLICATION TO MODEL EQUATIONS 121
7.1. LINEAR CONVECTION EQUATION / 121 7.1.1. SIMPLE EXPLICIT SCHEMES /
123 7.1.2. OTHER SCHEMES / 125 7.2. ONE-DIMENSIONAL HEAT EQUATION / 128
7.2.1. SIMPLE EXPLICIT SCHEME / 129 7.2.2. SIMPLE IMPLICIT SCHEME / 130
7.2.3. CRANK-NICOLSON SCHEME / 131 7.3. BURGERS AND GENERIC TRANSPORT
EQUATIONS / 132 7.4. METHOD OF LINES APPROACH / 134
7.4.1. ADAMS METHODS / 134 7.4.2. RUNGE-KUTTA METHODS / 135 7.5.
IMPLICIT SCHEMES: SOLUTION OF TRIDIAGONAL SYSTEMS BY THOMAS ALGORITHM /
136
REFERENCES AND SUGGESTED READING / 140 PROBLEMS / 140
II METHODS 143
8 STEADY-STATE PROBLEMS 145
8.1. PROBLEMS REDUCIBLE TO MATRIX EQUATIONS / 145 8.1.1. ELLIPTIC PDE /
145 8.1.2. IMPLICIT INTEGRATION OF NONSTEADY EQUATIONS / 149 8.2. DIRECT
METHODS / 150
8.2.1. BAND-DIAGONAL AND BLOCK-DIAGONAL MATRICES / 151 8.2.2. LU
DECOMPOSITION / 153 8.3. ITERATIVE METHODS / 153 8.3.1. GENERAL
METHODOLOGY / 154
8.3.2. JACOBI ITERATIONS / 155 8.3.3. GAUSS-SEIDEL ALGORITHM / 156
8.3.4. SUCCESSIVE OVER- AND UNDERRELAXATION / 157 8.3.5. CONVERGENCE OF
ITERATIVE PROCEDURES / 158
8.3.6. MULTIGRID METHODS / 1 61 8.3.7. PSEUDO-TRANSIENT APPROACH / 164
8.4. SYSTEMS OF NONLINEAR EQUATIONS / 164
IMAGE 6
CONTENTS XI
8.4.1. NEWTON S ALGORITHM / 165
8.4.2. ITERATION METHODS USING LINEARIZATION / 166 8.4.3. SEQUENTIAL
SOLUTION / 168 REFERENCES AND SUGGESTED READING / 168 PROBLEMS / 169
9 UNSTEADY PROBLEMS OF FLUID FLOWS AND HEAT TRANSFER 171
9.1. INTRODUCTION / 1 71 9.2. COMPRESSIBLE FLOWS / 172 9.2.1. OVERVIEW
AND GENERAL COMMENTS / 172 9.2.2. EXPLICIT MACCORMACK METHOD / 176
9.2.3. BEAM-WARMING METHOD / 178 9.2.4. UPWINDING / 182 9.2.5. METHODS
FOR PURELY HYPERBOLIC SYSTEMS / 185 9.3. UNSTEADY CONDUCTION HEAT
TRANSFER / 187
9.3.1. SIMPLE METHODS FOR MULTIDIMENSIONAL HEAT CONDUCTION / 188 9.3.2.
APPROXIMATE FACTORIZATION / 189 9.3.3. ADI METHOD / 191
REFERENCES AND SUGGESTED READING / 192 PROBLEMS / 193
10 INCOMPRESSIBLE FLOWS 196
*.1. GENERAL CONSIDERATIONS / 196 10.1.1. INTRODUCTION / 196 10.1.2.
ROLE OF PRESSURE / 197
10.2. DISCRETIZATION APPROACH / 198 10.2.1. COLOCATED AND STAGGERED
GRIDS / 200 10.3. PROJECTION METHOD FOR UNSTEADY FLOWS / 205 10.3.1.
EXPLICIT SCHEMES / 206
10.3.2. IMPLICIT SCHEMES / 209 10.4. PROJECTION METHODS FOR STEADY-STATE
FLOWS / 2 12 10.4.1. SIMPLE / 2 14
10.4.2. SIMPLEC, SIMPLER, AND PISO / 2 16 10.5. OTHER METHODS / 2 18
10.5.1. VORTICITY-STREAMFUNCTION FORMULATION FOR TWO-DIMENSIONAL FLOWS /
2 18
IMAGE 7
XU CONTENTS
10.5.2. ARTIFICIAL COMPRESSIBILITY / 222
REFERENCES AND SUGGESTED READING / 222 PROBLEMS / 223
III ARTOFCFD 225
11 TURBULENCE 227
11.1. INTRODUCTION / 227 11.1.1. A FEW WORDS ABOUT TURBULENCE / 227
11.1.2. WHY IS THE COMPUTATION OF TURBULENT FLOWS DIFFICULT? / 231
11.1.3. OVERVIEW OF NUMERICAL APPROACHES / 232
11.2. DIRECT NUMERICAL SIMULATION (DNS) / 234 11.2.1. HOMOGENEOUS
TURBULENCE / 234 11.2.2. INHOMOGENEOUS TURBULENCE / 237 11.3.
REYNOLDS-AVERAGED NAVIER-STOKES (RANS) MODELS / 238
11.3.1. REYNOLDS-AVERAGED EQUATIONS / 240 11.3.2. EDDY VISCOSITY
HYPOTHESIS / 241 11.3.3. ALGEBRAIC MODELS / 242 11.3.4. TWO-EQUATION
MODELS / 243
11.3.5. NUMERICAL IMPLEMENTATION OF RANS MODELS / 246 11.4. LARGE-EDDY
SIMULATION (LES) / 249 11.4.1. FILTERED EQUATIONS / 250 11.4.2. CLOSURE
MODELS / 253
11.4.3. IMPLEMENTATION OF LES IN CFD ANALYSIS: NUMERICAL RESOLUTION AND
NEAR-WALL TREATMENT / 255 REFERENCES AND SUGGESTED READING / 258
PROBLEMS / 259
12 COMPUTATIONAL GRIDS 261
12.1. INTRODUCTION: NEED FOR IRREGULAR AND UNSTRUCTURED GRIDS / 261
12.2. IRREGULAR STRUCTURED GRIDS / 264 12.2.1. GENERATION BY COORDINATE
TRANSFORMATION / 264
12.2.2. EXAMPLES / 266 12.2.3. GRID QUALITY / 268
IMAGE 8
CONTENTS XIUE
12.3. UNSTRUCTURED GRIDS / 269
12.3.1. GRID GENERATION / 271 12.3.2. FINITE VOLUME DISCRETIZATION ON
UNSTRUCTURED GRIDS / 272 12.3.3. CELL TOPOLOGY / 274
12.3.4. GRID QUALITY / 275 REFERENCES AND SUGGESTED READING / 278
PROBLEMS / 278
13 CONDUCTING CFD ANALYSIS 280
13.1. OVERVIEW: SETTING AND SOLVING A CFD PROBLEM / 280 13.2. ERRORS AND
UNCERTAINTY / 283 13.2.1. ERRORS IN CFD ANALYSIS / 283 13.2.2.
VERIFICATION AND VALIDATION / 290
13.3. ADAPTIVE GRIDS / 293 REFERENCES AND SUGGESTED READING / 295 INDEX
297
|
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| indexdate | 2024-07-09T22:46:58Z |
| institution | BVB |
| isbn | 9780470423295 |
| language | English |
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| spelling | Zikanov, Oleg Verfasser (DE-588)119890819X aut Essential computational fluid dynamics Oleg Zikanov Hoboken, N.J. Wiley 2010 XVI, 302 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 s Strömungsmechanik (DE-588)4077970-1 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020656236&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 |
| spellingShingle | Zikanov, Oleg Essential computational fluid dynamics Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation (DE-588)4690080-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4077970-1 |
| title | Essential computational fluid dynamics |
| title_auth | Essential computational fluid dynamics |
| title_exact_search | Essential computational fluid dynamics |
| title_full | Essential computational fluid dynamics Oleg Zikanov |
| title_fullStr | Essential computational fluid dynamics Oleg Zikanov |
| title_full_unstemmed | Essential computational fluid dynamics Oleg Zikanov |
| title_short | Essential computational fluid dynamics |
| title_sort | essential computational fluid dynamics |
| topic | Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation (DE-588)4690080-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Mathematik Fluid dynamics Mathematics Numerische Strömungssimulation Strömungsmechanik |
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