Computational methods for fluid dynamics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1999
|
| Edition: | 2., rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 353 - 361 |
| Physical Description: | XIV, 389 S. graph. Darst. |
| ISBN: | 3540653732 |
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Record in the Search Index
| _version_ | 1804127029348532224 |
|---|---|
| adam_text | J.H. FERZIGER * M. PERIC COMPUTATIONAL METHODS FOR FLUID DYNAMICS SECOND
REVISED EDITION WITH 118 FIGURES HLUHB DARMSTADT I IIIIIII 14875590
SPRINGER TABLE OF CONTENTS PREFACE V 1. BASIC CONCEPTS OF FLUID FLOW 1
1.1 INTRODUCTION 1 1.2 CONSERVATION PRINCIPLES 3 1.3 MASS CONSERVATION 4
1.4 MOMENTUM CONSERVATION 5 1.5 CONSERVATION OF SCALAR QUANTITIES 9 1.6
DIMENSIONLESS FORM OF EQUATIONS 11 1.7 SIMPLIFIED MATHEMATICAL MODELS 12
1.7.1 INCOMPRESSIBLE FLOW 12 1.7.2 INVISCID (EULER) FLOW 13 1.7.3
POTENTIAL FLOW 13 1.7.4 CREEPING (STOKES) FLOW 14 1.7.5 BOUSSINESQ
APPROXIMATION 14 1.7.6 BOUNDARY LAYER APPROXIMATION 15 1.7.7 MODELING OF
COMPLEX FLOW PHENOMENA 16 1.8 MATHEMATICAL CLASSIFICATION OF FLOWS 16
1.8.1 HYPERBOLIC FLOWS 17 1.8.2 PARABOLIC FLOWS 17 1.8.3 ELLIPTIC FLOWS
17 1.8.4 MIXED FLOW TYPES 18 1.9 PLAN OF THIS BOOK 18 2. INTRODUCTION TO
NUMERICAL METHODS 21 2.1 APPROACHES TO FLUID DYNAMICAL PROBLEMS 21 2.2
WHAT IS CFD? 23 2.3 POSSIBILITIES AND LIMITATIONS OF NUMERICAL METHODS
23 2.4 COMPONENTS OF A NUMERICAL SOLUTION METHOD 25 2.4.1 MATHEMATICAL
MODEL 25 2.4.2 DISCRETIZATION METHOD 25 2.4.3 COORDINATE AND BASIS
VECTOR SYSTEMS 26 2.4.4 NUMERICAL GRID 26 2.4.5 FINITE APPROXIMATIONS 30
X TABLE OF CONTENTS 2.4.6 SOLUTION METHOD 30 2.4.7 CONVERGENCE CRITERIA
31 2.5 PROPERTIES OF NUMERICAL SOLUTION METHODS 31 2.5.1 CONSISTENCY 31
2.5.2 STABILITY 32 2.5.3 CONVERGENCE 32 2.5.4 CONSERVATION 33 2.5.5
BOUNDEDNESS 33 2.5.6 READABILITY 33 2.5.7 ACCURACY 34 2.6 DISCRETIZATION
APPROACHES 35 2.6.1 FINITE DIFFERENCE METHOD 35 2.6.2 FINITE VOLUME
METHOD 36 2.6.3 FINITE ELEMENT METHOD 36 3. FINITE DIFFERENCE METHODS 39
3.1 INTRODUCTION 39 3.2 BASIC CONCEPT 39 3.3 APPROXIMATION OF THE FIRST
DERIVATIVE 42 3.3.1 TAYLOR SERIES EXPANSION 42 3.3.2 POLYNOMIAL FITTING
46 3.4 APPROXIMATION OF THE SECOND DERIVATIVE 47 3.5 APPROXIMATION OF
MIXED DERIVATIVES 50 3.6 APPROXIMATION OF OTHER TERMS 50 3.7
IMPLEMENTATION OF BOUNDARY CONDITIONS 50 3.8 AN INTRODUCTION TO SPECTRAL
METHODS 52 3.8.1 BASIC CONCEPT 52 3.8.2 ANOTHER VIEW OF DISCRETIZATION
ERROR 54 3.9 THE ALGEBRAIC EQUATION SYSTEM 55 3.10 DISCRETIZATION ERRORS
59 3.11 EXAMPLE 60 4. FINITE VOLUME METHODS 67 4.1 INTRODUCTION 67 4.2
APPROXIMATION OF SURFACE INTEGRALS 68 4.3 APPROXIMATION OF VOLUME
INTEGRALS 71 4.4 INTERPOLATION PRACTICES 72 4.4.1 UPWIND INTERPOLATION
(UDS) 72 4.4.2 LINEAR INTERPOLATION (CDS) 73 4.4.3 QUADRATIC UPWIND
INTERPOLATION (QUICK) 74 4.4.4 HIGHER-ORDER SCHEMES 75 4.4.5 OTHER
SCHEMES 76 4.5 DEFERRED CORRECTION 76 4.6 IMPLEMENTATION OF BOUNDARY
CONDITIONS 77 4.7 THE ALGEBRAIC EQUATION SYSTEM 77 TABLE OF CONTENTS XI
4.8 EXAMPLES 78 5. SOLUTION OF LINEAR EQUATION SYSTEMS 85 5.1
INTRODUCTION 85 5.2 DIRECT METHODS 86 5.2.1 GAUSS ELIMINATION 86 5.2.2
LU DECOMPOSITION 88 5.2.3 TRIDIAGONAL SYSTEMS 89 5.2.4 CYCLIC REDUCTION
90 5.3 ITERATIVE METHODS 91 5.3.1 BASIC CONCEPT 91 5.3.2 CONVERGENCE 92
5.3.3 SOME BASIC METHODS 94 5.3.4 INCOMPLETE LU DECOMPOSITION: STONE S
METHOD 95 5.3.5 ADI AND OTHER SPLITTING METHODS 99 5.3.6 CONJUGATE
GRADIENT METHODS 101 5.3.7 BICONJUGATE GRADIENTS AND CGSTAB 104 5.3.8
MULTIGRID METHODS 106 5.3.9 OTHER ITERATIVE SOLVERS 110 5.4 COUPLED
EQUATIONS AND THEIR SOLUTION 110 5.4.1 SIMULTANEOUS SOLUTION ILL 5.4.2
SEQUENTIAL SOLUTION ILL 5.4.3 UNDER-RELAXATION 112 5.5 NON-LINEAR
EQUATIONS AND THEIR SOLUTION 113 5.5.1 NEWTON-LIKE TECHNIQUES 113 5.5.2
OTHER TECHNIQUES 115 5.6 CONVERGENCE CRITERIA AND ITERATION ERRORS 116
5.7 EXAMPLES 120 6. METHODS FOR UNSTEADY PROBLEMS 12 7 6.1 INTRODUCTION
127 6.2 METHODS FOR INITIAL VALUE PROBLEMS IN ODES 127 6.2.1 TWO-LEVEL
METHODS 127 6.2.2 PREDICTOR-CORRECTOR AND MULTIPOINT METHODS 130 6.2.3
RUNGE-KUTTA METHODS 132 6.2.4 OTHER METHODS 134 6.3 APPLICATION TO THE
GENERIC TRANSPORT EQUATION 134 6.3.1 EXPLICIT METHODS 135 6.3.2 IMPLICIT
METHODS 140 6.3.3 OTHER METHODS 143 6.4 EXAMPLES 144 XII TABLE OF
CONTENTS 7. SOLUTION OF THE NAVIER-STOKES EQUATIONS 149 7.1 SPECIAL
FEATURES OF THE NAVIER-STOKES EQUATIONS 149 7.1.1 DISCRETIZATION OF
CONVECTIVE AND VISCOUS TERMS 149 7.1.2 DISCRETIZATION OF PRESSURE TERMS
AND BODY FORCES .... 150 7.1.3 CONSERVATION PROPERTIES 152 7.2 CHOICE OF
VARIABLE ARRANGEMENT ON THE GRID 156 7.2.1 COLOCATED ARRANGEMENT 157
7.2.2 STAGGERED ARRANGEMENTS 158 7.3 CALCULATION OF THE PRESSURE 159
7.3.1 THE PRESSURE EQUATION AND ITS SOLUTION 159 7.3.2 A SIMPLE EXPLICIT
TIME ADVANCE SCHEME 160 7.3.3 A SIMPLE IMPLICIT TIME ADVANCE METHOD 162
7.3.4 IMPLICIT PRESSURE-CORRECTION METHODS 164 7.4 OTHER METHODS 170
7.4.1 FRACTIONAL STEP METHODS 170 7.4.2 STREAMFUNCTION-VORTICITY METHODS
173 7.4.3 ARTIFICIAL COMPRESSIBILITY METHODS 175 7.5 SOLUTION METHODS
FOR THE NAVIER-STOKES EQUATIONS 180 7.5.1 IMPLICIT SCHEME USING
PRESSURE-CORRECTION AND A STAG- GERED GRID 180 7.5.2 TREATMENT OF
PRESSURE FOR COLOCATED VARIABLES 188 7.5.3 SIMPLE ALGORITHM FOR A
COLOCATED VARIABLE ARRANGE- MENT 192 7.6 NOTE ON PRESSURE AND
INCOMPRESSIBILITY 194 7.7 BOUNDARY CONDITIONS FOR THE NAVIER-STOKES
EQUATIONS 196 7.8 EXAMPLES 198 8. COMPLEX GEOMETRIES 209 8.1 THE CHOICE
OF GRID 209 8.1.1 STEPWISE APPROXIMATION USING REGULAR GRIDS 209 8.1.2
OVERLAPPING GRIDS 210 8.1.3 BOUNDARY-FITTED NON-ORTHOGONAL GRIDS 211 8.2
GRID GENERATION 211 8.3 THE CHOICE OF VELOCITY COMPONENTS 216 8.3.1
GRID-ORIENTED VELOCITY COMPONENTS 216 8.3.2 CARTESIAN VELOCITY
COMPONENTS 217 8.4 THE CHOICE OF VARIABLE ARRANGEMENT 217 8.4.1
STAGGERED ARRANGEMENTS 217 8.4.2 COLOCATED ARRANGEMENT 218 8.5 FINITE
DIFFERENCE METHODS 218 8.5.1 METHODS BASED ON COORDINATE TRANSFORMATION
218 8.5.2 METHOD BASED ON SHAPE FUNCTIONS 221 8.6 FINITE VOLUME METHODS
222 8.6.1 APPROXIMATION OF CONVECTIVE FLUXES 223 8.6.2 APPROXIMATION OF
DIFFUSIVE FLUXES 224 TABLE OF CONTENTS XIII 8.6.3 APPROXIMATION OF
SOURCE TERMS 230 8.6.4 THREE-DIMENSIONAL GRIDS 231 8.6.5
BLOCK-STRUCTURED GRIDS 233 8.6.6 UNSTRUCTURED GRIDS 236 8.7
CONTROL-VOLUME-BASED FINITE ELEMENT METHODS 237 8.8 PRESSURE-CORRECTION
EQUATION 238 8.9 AXISYMMETRIC PROBLEMS 244 8.10 IMPLEMENTATION OF
BOUNDARY CONDITIONS 246 8.10.1 INLET 247 8.10.2 OUTLET 247 8.10.3
IMPERMEABLE WALLS 247 8.10.4 SYMMETRY PLANES 250 8.10.5 SPECIFIED
PRESSURE 250 8.11 EXAMPLES 251 9. TURBULENT FLOWS 257 9.1 INTRODUCTION
257 9.2 DIRECT NUMERICAL SIMULATION (DNS) 259 9.2.1 EXAMPLE: SPATIAL
DECAY OF GRID TURBULENCE 266 9.3 LARGE EDDY SIMULATION (LES) 268 9.3.1
SMAGORINSKY AND RELATED MODELS 270 9.3.2 DYNAMIC MODELS 272 9.3.3
EXAMPLE: FLOW OVER A WALL-MOUNTED CUBE 274 9.4 RANS MODELS 277 9.4.1
REYNOLDS AVERAGED NAVIER-STOKES (RANS) EQUATIONS . 277 9.4.2 SIMPLE
TURBULENCE MODELS AND THEIR APPLICATION 279 9.4.3 EXAMPLE: FLOW AROUND
AN ENGINE VALVE 286 9.5 REYNOLDS STRESS MODELS 289 10. COMPRESSIBLE FLOW
291 10.1 INTRODUCTION 291 10.2 PRESSURE-CORRECTION METHODS FOR ARBITRARY
MACH NUMBER . . . 292 10.2.1 PRESSURE-VELOCITY-DENSITY COUPLING 293
10.2.2 BOUNDARY CONDITIONS 297 10.2.3 EXAMPLES 301 10.3 METHODS DESIGNED
FOR COMPRESSIBLE FLOW 306 10.3.1 AN OVERVIEW OF SOME SPECIFIC METHODS
308 11. EFFICIENCY AND ACCURACY IMPROVEMENT 311 11.1 ERROR ANALYSIS AND
ESTIMATION 311 11.1.1 DESCRIPTION OF ERRORS 311 11.1.2 ESTIMATION OF
ERRORS 314 11.1.3 RECOMMENDED PRACTICE FOR CFD UNCERTAINTY ANALYSIS 319
11.2 MULTIGRID METHODS FOR FLOW CALCULATION 323 11.3 ADAPTIVE GRID
METHODS AND LOCAL GRID REFINEMENT 331 XIV TABLE OF CONTENTS 11.4
PARALLEL COMPUTING IN CFD 335 11.4.1 ITERATIVE SCHEMES FOR LINEAR
EQUATIONS 336 11.4.2 DOMAIN DECOMPOSITION IN SPACE 338 11.4.3 DOMAIN
DECOMPOSITION IN TIME 341 11.4.4 EFFICIENCY OF PARALLEL COMPUTING 342
12. SPECIAL TOPICS 347 12.1 MOVING GRIDS 347 12.2 FREE SURFACE FLOWS 354
12.2.1 INTERFACE-CAPTURING METHODS 356 12.2.2 INTERFACE-TRACKING METHODS
359 12.3 HEAT TRANSFER 366 12.4 FLOW WITH VARIABLE FLUID PROPERTIES 367
12.5 METEOROLOGICAL AND OCEANOGRAPHIC APPLICATIONS 368 12.6 COMBUSTION
369 12.7 MULTIPHASE FLOWS 370 A. APPENDICES 373 A.I LIST OF COMPUTER
CODES AND HOW TO ACCESS THEM 373 A.2 LIST OF FREQUENTLY USED
ABBREVIATIONS 374
|
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| author | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- |
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| dewey-full | 532/.05/015194 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
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| publisher | Springer |
| record_format | marc |
| spelling | Ferziger, Joel H. 1937-2004 Verfasser (DE-588)115525319 aut Computational methods for fluid dynamics J. H. Ferziger ; M. Perić 2., rev. ed. Berlin [u.a.] Springer 1999 XIV, 389 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 353 - 361 Datenverarbeitung Fluid dynamics Data processing Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Numerisches Verfahren (DE-588)4128130-5 s 2\p DE-604 Perić, Milovan 1957- Verfasser (DE-588)115525300 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008408690&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 | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- Computational methods for fluid dynamics Datenverarbeitung Fluid dynamics Data processing Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4128130-5 (DE-588)4690080-9 (DE-588)4123623-3 |
| title | Computational methods for fluid dynamics |
| title_auth | Computational methods for fluid dynamics |
| title_exact_search | Computational methods for fluid dynamics |
| title_full | Computational methods for fluid dynamics J. H. Ferziger ; M. Perić |
| title_fullStr | Computational methods for fluid dynamics J. H. Ferziger ; M. Perić |
| title_full_unstemmed | Computational methods for fluid dynamics J. H. Ferziger ; M. Perić |
| title_short | Computational methods for fluid dynamics |
| title_sort | computational methods for fluid dynamics |
| topic | Datenverarbeitung Fluid dynamics Data processing Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Datenverarbeitung Fluid dynamics Data processing Strömungsmechanik Numerisches Verfahren Numerische Strömungssimulation Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008408690&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ferzigerjoelh computationalmethodsforfluiddynamics AT pericmilovan computationalmethodsforfluiddynamics |