Computational methods for fluid dynamics:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2002
|
| Edition: | 3., rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke Literaturverz. S. [409] - 420 |
| Physical Description: | XIV, 423 S. Ill., graph. Darst. |
| ISBN: | 9783540420743 3540420746 |
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MARC
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Record in the Search Index
| _version_ | 1804128807002570752 |
|---|---|
| adam_text | JOEL H. FERZIGER / MILOVAN PERIC COMPUTATIONAL METHODS FOR FLUID
DYNAMICS THIRD, REV. EDITION WITH 128 FIGURES SPRINGER TOC 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 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 REALIZABILITY 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 44 3.3.3 COMPACT SCHEMES 45 3.3.4
NON-UNIFORM GRIDS 47 3.4 APPROXIMATION OF THE SECOND DERIVATIVE 49 3.5
APPROXIMATION OF MIXED DERIVATIVES 52 3.6 APPROXIMATION OF OTHER TERMS
53 3.7 IMPLEMENTATION OF BOUNDARY CONDITIONS 53 3.8 THE ALGEBRAIC
EQUATION SYSTEM 55 3.9 DISCRETIZATION ERRORS 58 3.10 AN INTRODUCTION TO
SPECTRAL METHODS 60 3.10.1 BASIC CONCEPT 60 3.10.2 ANOTHER VIEW OF
DISCRETIZATION ERROR 62 3.11 EXAMPLE 63 4. FINITE VOLUME METHODS 71 4.1
INTRODUCTION 71 4.2 APPROXIMATION OF SURFACE INTEGRALS 72 4.3
APPROXIMATION OF VOLUME INTEGRALS 75 4.4 INTERPOLATION AND
DIFFERENTIATION PRACTICES 76 4.4.1 UPWIND INTERPOLATION (UDS) 76 4.4.2
LINEAR INTERPOLATION (CDS) 77 4.4.3 QUADRATIC UPWIND INTERPOLATION
(QUICK) 78 4.4.4 HIGHER-ORDER SCHEMES 79 4.4.5 OTHER SCHEMES 81 4.5
IMPLEMENTATION OF BOUNDARY CONDITIONS 81 R CONTENTS XI 4.6 THE ALGEBRAIC
EQUATION SYSTEM 82 4.7 EXAMPLES 82 5. SOLUTION OF LINEAR EQUATION
SYSTEMS 91 5.1 INTRODUCTION 91 5.2 DIRECT METHODS 92 5.2.1 GAUSS
ELIMINATION 92 5.2.2 LU DECOMPOSITION 94 5.2.3 TRIDIAGONAL SYSTEMS 95
5.2.4 CYCLIC REDUCTION 96 5.3 ITERATIVE METHODS 97 5.3.1 BASIC CONCEPT
97 5.3.2 CONVERGENCE 98 5.3.3 SOME BASIC METHODS 100 5.3.4 INCOMPLETE LU
DECOMPOSITION: STONE S METHOD 101 5.3.5 ADI AND OTHER SPLITTING METHODS
105 5.3.6 CONJUGATE GRADIENT METHODS 107 5.3.7 BICONJUGATE GRADIENTS AND
CGSTAB 110 5.3.8 MULTIGRID METHODS 112 5.3.9 OTHER ITERATIVE SOLVERS 116
5.4 COUPLED EQUATIONS AND THEIR SOLUTION 116 5.4.1 SIMULTANEOUS SOLUTION
117 5.4.2 SEQUENTIAL SOLUTION 117 5.4.3 UNDER-RELAXATION 118 5.5
NON-LINEAR EQUATIONS AND THEIR SOLUTION 119 5.5.1 NEWTON-LIKE TECHNIQUES
119 5.5.2 OTHER TECHNIQUES 121 5.6 DEFERRED-CORRECTION APPROACHES 122
5.7 CONVERGENCE CRITERIA AND ITERATION ERRORS 124 5.8 EXAMPLES 129 6.
METHODS FOR UNSTEADY PROBLEMS 135 6.1 INTRODUCTION 135 6.2 METHODS FOR
INITIAL VALUE PROBLEMS IN ODES 135 6.2.1 TWO-LEVEL METHODS 135 6.2.2
PREDICTOR-CORRECTOR AND MULTIPOINT METHODS 138 6.2.3 RUNGE-KUTTA METHODS
140 6.2.4 OTHER METHODS 142 6.3 APPLICATION TO THE GENERIC TRANSPORT
EQUATION 142 6.3.1 EXPLICIT METHODS 143 6.3.2 IMPLICIT METHODS 148 6.3.3
OTHER METHODS 151 6.4 EXAMPLES 152 XII CONTENTS 7. SOLUTION OF THE
NAVIER-STOKES EQUATIONS 157 7.1 SPECIAL FEATURES OF THE NAVIER-STOKES
EQUATIONS 157 7.1.1 DISCRETIZATION OF CONVECTIVE AND VISCOUS TERMS 157
7.1.2 DISCRETIZATION OF PRESSURE TERMS AND BODY FORCES .... 158 7.1.3
CONSERVATION PROPERTIES 160 7.2 CHOICE OF VARIABLE ARRANGEMENT ON THE
GRID 164 7.2.1 COLOCATED ARRANGEMENT 165 7.2.2 STAGGERED ARRANGEMENTS
166 7.3 CALCULATION OF THE PRESSURE 167 7.3.1 THE PRESSURE EQUATION AND
ITS SOLUTION 167 7.3.2 A SIMPLE EXPLICIT TIME ADVANCE SCHEME 168 7.3.3 A
SIMPLE IMPLICIT TIME ADVANCE METHOD 170 7.3.4 IMPLICIT
PRESSURE-CORRECTION METHODS 172 7.4 OTHER METHODS 178 7.4.1 FRACTIONAL
STEP METHODS 178 7.4.2 STREAMFUNCTION-VORTICITY METHODS 181 7.4.3
ARTIFICIAL COMPRESSIBILITY METHODS 183 7.5 SOLUTION METHODS FOR THE
NAVIER-STOKES EQUATIONS 188 7.5.1 IMPLICIT SCHEME USING
PRESSURE-CORRECTION AND A STAG- GERED GRID 188 7.5.2 TREATMENT OF
PRESSURE FOR COLOCATED VARIABLES 196 7.5.3 SIMPLE ALGORITHM FOR A
COLOCATED VARIABLE ARRANGE- MENT 200 7.6 NOTE ON PRESSURE AND
INCOMPRESSIBILITY 202 7.7 BOUNDARY CONDITIONS FOR THE NAVIER-STOKES
EQUATIONS 204 7.8 EXAMPLES 206 8. COMPLEX GEOMETRIES 217 8.1 THE CHOICE
OF GRID 217 8.1.1 STEPWISE APPROXIMATION USING REGULAR GRIDS 217 8.1.2
OVERLAPPING GRIDS 218 8.1.3 BOUNDARY-FITTED NON-ORTHOGONAL GRIDS 219 8.2
GRID GENERATION 219 8.3 THE CHOICE OF VELOCITY COMPONENTS 223 8.3.1
GRID-ORIENTED VELOCITY COMPONENTS 224 8.3.2 CARTESIAN VELOCITY
COMPONENTS 224 8.4 THE CHOICE OF VARIABLE ARRANGEMENT 225 8.4.1
STAGGERED ARRANGEMENTS 225 8.4.2 COLOCATED ARRANGEMENT 226 8.5 FINITE
DIFFERENCE METHODS 226 8.5.1 METHODS BASED ON COORDINATE TRANSFORMATION
226 8.5.2 METHOD BASED ON SHAPE FUNCTIONS 229 8.6 FINITE VOLUME METHODS
230 8.6.1 APPROXIMATION OF CONVECTIVE FLUXES 231 8.6.2 APPROXIMATION OF
DIFFUSIVE FLUXES 232 CONTENTS XIII 8.6.3 APPROXIMATION OF SOURCE TERMS
238 8.6.4 THREE-DIMENSIONAL GRIDS 239 8.6.5 BLOCK-STRUCTURED GRIDS 241
8.6.6 UNSTRUCTURED GRIDS 244 8.7 CONTROL-VOLUME-BASED FINITE ELEMENT
METHODS 245 8.8 PRESSURE-CORRECTION EQUATION 247 8.9 AXI-SYMMETRIC
PROBLEMS 252 8.10 IMPLEMENTATION OF BOUNDARY CONDITIONS 254 8.10.1 INLET
255 8.10.2 OUTLET 255 8.10.3 IMPERMEABLE WALLS 256 8.10.4 SYMMETRY
PLANES 258 8.10.5 SPECIFIED PRESSURE 258 8.11 EXAMPLES 259 9. TURBULENT
FLOWS 26 5 9.1 INTRODUCTION 265 9.2 DIRECT NUMERICAL SIMULATION (DNS)
267 9.2.1 EXAMPLE: SPATIAL DECAY OF GRID TURBULENCE 275 9.3 LARGE EDDY
SIMULATION (LES) 277 9.3.1 SMAGORINSKY AND RELATED MODELS 279 9.3.2
DYNAMIC MODELS 281 9.3.3 DECONVOLUTION MODELS 283 9.3.4 EXAMPLE: FLOW
OVER A WALL-MOUNTED CUBE 284 9.3.5 EXAMPLE: STRATIFIED HOMOGENEOUS SHEAR
FLOW 287 9.4 RANS MODELS 292 9.4.1 REYNOLDS-AVERAGED NAVIER-STOKES
(RANS) EQUATIONS . 292 9.4.2 SIMPLE TURBULENCE MODELS AND THEIR
APPLICATION 294 9.4.3 THE V2F MODEL 301 9.4.4 EXAMPLE: FLOW AROUND AN
ENGINE VALVE 302 9.5 REYNOLDS STRESS MODELS 304 9.6 VERY LARGE EDDY
SIMULATION 306 10. COMPRESSIBLE FLOW 309 10.1 INTRODUCTION 309 10.2
PRESSURE-CORRECTION METHODS FOR ARBITRARY MACH NUMBER . . . 310 10.2.1
PRESSURE-VELOCITY-DENSITY COUPLING 311 10.2.2 BOUNDARY CONDITIONS 315
10.2.3 EXAMPLES 319 10.3 METHODS DESIGNED FOR COMPRESSIBLE FLOW 324
10.3.1 AN OVERVIEW OF SOME SPECIFIC METHODS 326 XIV CONTENTS 11.
EFFICIENCY AND ACCURACY IMPROVEMENT 329 11.1 ERROR ANALYSIS AND
ESTIMATION 329 11.1.1 DESCRIPTION OF ERRORS 329 11.1.2 ESTIMATION OF
ERRORS 332 11.1.3 RECOMMENDED PRACTICE FOR CFD UNCERTAINTY ANALYSIS 337
11.2 GRID QUALITY AND OPTIMIZATION 341 11.3 MULTIGRID METHODS FOR FLOW
CALCULATION 344 11.4 ADAPTIVE GRID METHODS AND LOCAL GRID REFINEMENT 351
11.5 PARALLEL COMPUTING IN CFD 356 11.5.1 ITERATIVE SCHEMES FOR LINEAR
EQUATIONS 357 11.5.2 DOMAIN DECOMPOSITION IN SPACE 360 11.5.3 DOMAIN
DECOMPOSITION IN TIME 363 11.5.4 EFFICIENCY OF PARALLEL COMPUTING 364
12. SPECIAL TOPICS 369 12.1 INTRODUCTION 369 12.2 HEAT AND MASS TRANSFER
370 12.3 FLOWS WITH VARIABLE FLUID PROPERTIES 373 12.4 MOVING GRIDS 373
12.5 FREE-SURFACE FLOWS 381 12.5.1 INTERFACE-TRACKING METHODS 388 12.5.2
HYBRID METHODS 396 12.6 METEOROLOGICAL AND OCEANOGRAPHIC APPLICATIONS
397 12.7 MULTIPHASE FLOWS 399 12.8 COMBUSTION 400 A. APPENDICES 405 A.I
LIST OF COMPUTER CODES AND HOW TO ACCESS THEM 405 A.2 LIST OF FREQUENTLY
USED ABBREVIATIONS 407 REFERENCES 409 INDEX 421
|
| any_adam_object | 1 |
| author | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- |
| author_GND | (DE-588)115525319 (DE-588)115525300 |
| author_facet | Ferziger, Joel H. 1937-2004 Perić, Milovan 1957- |
| author_role | aut aut |
| author_sort | Ferziger, Joel H. 1937-2004 |
| author_variant | j h f jh jhf m p mp |
| building | Verbundindex |
| bvnumber | BV013958145 |
| classification_rvk | UF 4600 UF 4000 |
| classification_tum | MTA 309f |
| ctrlnum | (OCoLC)248354354 (DE-599)BVBBV013958145 |
| dewey-full | 620.1060285 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.106 0285 |
| dewey-search | 620.106 0285 |
| dewey-sort | 3620.106 3285 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 3., rev. ed. |
| format | Book |
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| id | DE-604.BV013958145 |
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| indexdate | 2024-07-09T18:55:06Z |
| institution | BVB |
| isbn | 9783540420743 3540420746 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009552548 |
| oclc_num | 248354354 |
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| physical | XIV, 423 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| spelling | Ferziger, Joel H. 1937-2004 Verfasser (DE-588)115525319 aut Computational methods for fluid dynamics Joel H. Ferziger ; Milovan Perić 3., rev. ed. Berlin [u.a.] Springer 2002 XIV, 423 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Literaturverz. S. [409] - 420 Fluides, Mécanique des - Informatique ram Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 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=009552548&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 Fluides, Mécanique des - Informatique ram Numerische Strömungssimulation (DE-588)4690080-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4077970-1 (DE-588)4128130-5 (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 Joel H. Ferziger ; Milovan Perić |
| title_fullStr | Computational methods for fluid dynamics Joel H. Ferziger ; Milovan Perić |
| title_full_unstemmed | Computational methods for fluid dynamics Joel H. Ferziger ; Milovan Perić |
| title_short | Computational methods for fluid dynamics |
| title_sort | computational methods for fluid dynamics |
| topic | Fluides, Mécanique des - Informatique ram Numerische Strömungssimulation (DE-588)4690080-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Fluides, Mécanique des - Informatique Numerische Strömungssimulation Strömungsmechanik Numerisches Verfahren Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009552548&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ferzigerjoelh computationalmethodsforfluiddynamics AT pericmilovan computationalmethodsforfluiddynamics |