Large eddy simulation for incompressible flows an introduction ; with ... 15 tables

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1. Verfasser: Sagaut, Pierre 1967- (VerfasserIn)
Format: Buch
Sprache:English
German
Veröffentlicht: Berlin [u.a.] Springer 2004
Ausgabe:2. ed., corr. 2. print.
Schriftenreihe:Scientific computation
Physics and astronomy online library
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Datensatz im Suchindex

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adam_text PIERRE SAGAUT LARGE EDDY SIMULATION FOR INCOMPRESSIBLE FLOWS AN INTRODUCTION SECOND EDITION WITH A FOREWORD BY MASSIMO GERMANO WITH 99 FIGURES AND 15 TABLES SPRINGER TABLE OF CONTENTS 1. INTRODUCTION 1 1.1 COMPUTATIONAL FLUID DYNAMICS 1 1.2 LEVELS OF APPROXIMATION: GENERAL 2 1.3 STATEMENT OF THE SCALE SEPARATION PROBLEM 3 1.4 USUAL LEVELS OF APPROXIMATION 4 1.5 LARGE-EDDY SIMULATION 8 2. FORMAL INTRODUCTION TO SCALE SEPARATION: BAND-PASS FILTERING 11 2.1 DEFINITION AND PROPERTIES OF THE FILTER IN THE HOMOGENEOUS CASE 11 2.1.1 DEFINITION 11 2.1.2 FUNDAMENTAL PROPERTIES 13 2.1.3 CHARACTERIZATION OF DIFFERENT APPROXIMATIONS 14 2.1.4 DIFFERENTIAL FILTERS 16 2.1.5 THREE CLASSICAL FILTERS FOR LARGE-EDDY SIMULATION .... 17 2.1.6 DIFFERENTIAL INTERPRETATION OF THE FILTERS 22 2.2 SPATIAL FILTERING: EXTENSION TO THE INHOMOGENEOUS CASE 27 2.2.1 GENERAL 27 2.2.2 NON-UNIFORM FILTERING OVER AN ARBITRARY DOMAIN .... 28 2.3 TIME FILTERING: A FEW PROPERTIES 38 3. APPLICATION TO NAVIER*STOKES EQUATIONS 39 3.1 NAVIER-STOKES EQUATIONS 40 3.1.1 FORMULATION IN PHYSICAL SPACE 40 3.1.2 FORMULATION IN GENERAL COORDINATES 40 3.1.3 FORMULATION IN SPECTRAL SPACE 41 3.2 FILTERED NAVIER-STOKES EQUATIONS IN CARTESIAN COORDINATES (HOMOGENEOUS CASE) 42 3.2.1 FORMULATION IN PHYSICAL SPACE 42 3.2.2 FORMULATION IN SPECTRAL SPACE 43 3.3 DECOMPOSITION OF THE NON-LINEAR TERM. ASSOCIATED EQUATIONS FOR THE CONVENTIONAL APPROACH 43 XVIII TABLE OF CONTENTS 3.3.1 LEONARD S DECOMPOSITION 43 3.3.2 GERMANO CONSISTENT DECOMPOSITION 54 3.3.3 GERMANO IDENTITY 56 3.3.4 INVARIANCE PROPERTIES 59 3.3.5 REALIZABILITY CONDITIONS 64 3.4 EXTENSION TO THE INHOMOGENEOUS CASE FOR THE CONVENTIONAL APPROACH 66 3.4.1 SECOND-ORDER COMMUTING FILTER 67 3.4.2 HIGH-ORDER COMMUTING FILTERS 68 3.5 FILTERED NAVIER-STOKES EQUATIONS IN GENERAL COORDINATES .... 69 3.5.1 BASIC FORM OF THE FILTERED EQUATIONS 69 3.5.2 SIMPLIFIED FORM OF THE EQUATIONS - NON-LINEAR TERMS DECOMPOSITION 69 3.6 CLOSURE PROBLEM 70 3.6.1 STATEMENT OF THE PROBLEM 70 3.6.2 POSTULATES 71 3.6.3 FUNCTIONAL AND STRUCTURAL MODELING 72 4. FUNCTIONAL MODELING (ISOTROPIC CASE) 75 4.1 PHENOMENOLOGY OF INTER-SCALE INTERACTIONS 75 4.1.1 LOCAL ISOTROPY ASSUMPTION: CONSEQUENCES 76 4.1.2 INTERACTIONS BETWEEN RESOLVED AND SUBGRID SCALES .... 77 4.1.3 A VIEW IN PHYSICAL SPACE 86 4.1.4 SUMMARY - 88 4.2 BASIC FUNCTIONAL MODELING HYPOTHESIS 88 4.3 MODELING OF THE FORWARD ENERGY CASCADE PROCESS 89 4.3.1 SPECTRAL MODELS 89 4.3.2 PHYSICAL SPACE MODELS 93 4.3.3 IMPROVEMENT OF MODELS IN THE PHYSICAL SPACE 115 4.3.4 IMPLICIT DIFFUSION: THE MILES CONCEPT 140 4.4 MODELING THE BACKWARD ENERGY CASCADE PROCESS 147 4.4.1 PRELIMINARY REMARKS 147 4.4.2 DETERMINISTIC STATISTICAL MODELS 148 4.4.3 STOCHASTIC MODELS 153 5. FUNCTIONAL MODELING: EXTENSION TO ANISOTROPIC CASES . 163 5.1 STATEMENT OF THE PROBLEM 163 5.2 APPLICATION OF ANISOTROPIC FILTER TO ISOTROPIC FLOW 163 5.2.1 SCALAR MODELS 164 5.2.2 TENSORIAL MODELS 167 5.3 APPLICATION OF AN ISOTROPIC FILTER TO AN ANISOTROPIC FLOW .... 168 5.3.1 PHENOMENOLOGY OF INTER-SCALE INTERACTIONS 169 5.3.2 ANISOTROPIC MODELS 174 TABLE OF CONTENTS XIX - 6. STRUCTURAL MODELING 183 6.1 INTRODUCTION AND MOTIVATIONS 183 6.2 FORMAL SERIES EXPANSIONS 184 6.2.1 MODELS BASED ON APPROXIMATE DECONVOLUTION 184 6.2.2 NONLINEAR MODELS 194 6.2.3 HOMOGENIZATION TECHNIQUE: PERRIER AND PIRONNEAU MODELS 199 6.3 SCALE SIMILARITY HYPOTHESES AND MODELS USING THEM 201 6.3.1 SCALE SIMILARITY HYPOTHESES 201 6.3.2 SCALE SIMILARITY MODELS 203 6.3.3 A BRIDGE BETWEEN SCALE SIMILARITY AND APPROXIMATE DECONVOLUTION MODELS. GENERALIZED SIMILARITY MODELS . 206 6.4 MIXED MODELING 207 6.4.1 MOTIVATIONS 207 6.4.2 EXAMPLES OF MIXED MODELS 209 6.5 DIFFERENTIAL SUBGRID STRESS MODELS 213 6.5.1 DEARDORFF MODEL 213 6.5.2 LINK WITH THE SUBGRID VISCOSITY MODELS 214 6.6 DETERMINISTIC MODELS OF THE SUBGRID STRUCTURES 215 6.6.1 GENERAL 215 6.6.2 S3/S2 ALIGNMENT MODEL. . . : 216 6.6.3 S3/W ALIGNMENT MODEL 216 6.6.4 KINEMATIC MODEL 216 6.7 EXPLICIT EVALUATION OF SUBGRID SCALES 217 6.7.1 FRACTAL INTERPOLATION PROCEDURE 219 6.7.2 CHAOTIC MAP MODEL 220 6.7.3 KINEMATIC-SIMULATION-BASED RECONSTRUCTION 223 6.7.4 SUBGRID SCALE ESTIMATION PROCEDURE 224 6.7.5 MULTILEVEL SIMULATIONS 225 6.8 DIRECT IDENTIFICATION OF SUBGRID TERMS 233 6.8.1 LIRIEAR-STOCHASTIC-ESTIMATION-BASED MODEL 234 6.8.2 NEURAL-NETWORK-BASED MODEL 235 6.9 IMPLICIT STRUCTURAL MODELS 236 6.9.1 LOCAL AVERAGE METHOD 237 6.9.2 SCALE RESIDUAL MODEL 238 7. NUMERICAL SOLUTION: INTERPRETATION AND PROBLEMS 241 7.1 DYNAMIC INTERPRETATION OF THE LARGE-EDDY SIMULATION 241 7.1.1 STATIC AND DYNAMIC INTERPRETATIONS: EFFECTIVE FILTER . . 241 7.1.2 THEORETICAL ANALYSIS OF THE TURBULENCE GENERATED BY LARGE-EDDY SIMULATION 243 7.2 TIES BETWEEN THE FILTER AND COMPUTATIONAL GRID. PRE-FILTERING 248 7.3 NUMERICAL ERRORS AND SUBGRID TERMS 250 7.3.1 GHOSAL S GENERAL ANALYSIS 250 XX TABLE OF CONTENTS 7.3.2 REMARKS ON THE USE OF ARTIFICIAL DISSIPATIONS 255 7.3.3 REMARKS CONCERNING THE TIME INTEGRATION METHOD ... 258 8. ANALYSIS AND VALIDATION OF LARGE-EDDY SIMULATION DATA .. 261 8.1 STATEMENT OF THE PROBLEM 261 8.1.1 TYPE OF INFORMATION CONTAINED IN A LARGE-EDDY SIMULATION 261 .8.1.2 VALIDATION METHODS 262 8.1.3 STATISTICAL EQUIVALENCY CLASSES OF REALIZATIONS 263 8.1.4 IDEAL LES AND OPTIMAL LES 266 8.2 CORRECTION TECHNIQUES 267 8.2.1 FILTERING THE REFERENCE DATA 268 8.2.2 EVALUATION OF SUBGRID SCALE CONTRIBUTION 268 8.3 PRACTICAL EXPERIENCE 269 9. BOUNDARY CONDITIONS 271 9.1 GENERAL PROBLEM 271 9.1.1 MATHEMATICAL ASPECTS 271 9.1.2 PHYSICAL ASPECTS - 272 9.2 SOLID WALLS 274 9.2.1 STATEMENT OF THE PROBLEM 274 9.2.2 A FEW WALL MODELS 281 9.3 CASE OF THE INFLOW CONDITIONS 297 9.3.1 REQUIRED CONDITIONS 297 9.3.2 INFLOW CONDITION GENERATION TECHNIQUES 298 10. COUPLING LARGE-EDDY SIMULATION WITH MULTIRESOLUTION/MULTIDOMAIN TECHNIQUES 309 10.1 STATEMENT OF THE PROBLEM 309 10.2 METHODS WITH FULL OVERLAP 311 10.2.1 ONE-WAY COUPLING ALGORITHM 312 10.2.2 TWO-WAY COUPLING ALGORITHM 312 10.2.3 FAS-LIKE MULTILEVEL METHOD 313 10.2.4 KRAVCHENKO ET AL. METHOD 316 10.3 METHODS WITHOUT FULL OVERLAP 316 11. HYBRID RANS/LES APPROACHES 319 11.1 MOTIVATIONS AND PRESENTATION 319 11.2 ZONAL DECOMPOSITION 320 11.2.1 STATEMENT OF THE PROBLEM 320 11.2.2 SHARP TRANSITION 321 11.2.3 SMOOTH TRANSITION 323 11.2.4 ZONAL RANS/LES APPROACH AS WALL MODEL 324 11.3 NONLINEAR DISTURBANCE EQUATIONS 325 11.4 UNIVERSAL MODELING 327 TABLE OF CONTENTS XXI 11.4.1 GERMANO S HYBRID MODEL 327 11.4.2 SPEZIALE S RESCALING METHOD AND SIMPLIFICATIONS 328 11.4.3 ARUNAJATESAN S MODIFIED TWO-EQUATION MODEL 329 11.4.4 BUSH-MANI LIMITERS 330 12. IMPLEMENTATION 331 12.1 FILTER IDENTIFICATION. COMPUTING THE CUTOFF LENGTH 331 12.2 EXPLICIT DISCRETE FILTERS 334 12.2.1 UNIFORM ONE-DIMENSIONAL GRID CASE 334 12.2.2 EXTENSION TO THE MULTIDIMENSIONAL CASE 337 12.2.3 EXTENSION TO THE GENERAL CASE. CONVOLUTION FILTERS ... 337 12.2.4 HIGH-ORDER ELLIPTIC FILTERS 338 12.3 IMPLEMENTATION OF THE STRUCTURE FUNCTION MODEL 338 13. EXAMPLES OF APPLICATIONS 341 13.1 HOMOGENEOUS TURBULENCE 341 13.1.1 ISOTROPIC HOMOGENEOUS TURBULENCE 341 13.1.2 ANISOTROPIC HOMOGENEOUS TURBULENCE 342 13.2 FLOWS POSSESSING A DIRECTION OF INHOMOGENEITY 344 13.2.1 TIME-EVOLVING PLANE CHANNEL 344 13.2.2 OTHER FLOWS 348 13.3 FLOWS HAVING AT MOST ONE DIRECTION OF HOMOGENEITY 348 13.3.1 ROUND JET 349 13.3.2 BACKWARD FACING STEP 356 13.3.3 SQUARE-SECTION CYLINDER 360 13.3.4 OTHER EXAMPLES 361 13.4 INDUSTRIAL APPLICATIONS 362 13.4.1 LARGE-EDDY SIMULATION FOR NUCLEAR POWER PLANTS 362 13.4.2 FLOW IN A MIXED-FLOW PUMP 362 13.4.3 FLOW AROUND A LANDING GEAR CONFIGURATION 367 13.4.4 FLOW AROUND A FULL SCALE CAR 368 13.5 LESSONS 370 13.5.1 GENERAL LESSONS 370 13.5.2 SUBGRID MODEL EFFICIENCY 371 13.5.3 WALL MODEL EFFICIENCY 374 13.5.4 MESH GENERATION FOR BUILDING BLOCKS FLOWS 375 A. STATISTICAL AND SPECTRAL ANALYSIS OF TURBULENCE 379 A.I TURBULENCE PROPERTIES 379 A.2 FOUNDATIONS OF THE STATISTICAL ANALYSIS OF TURBULENCE 379 A.2.1 MOTIVATIONS 379 A.2.2 STATISTICAL AVERAGE: DEFINITION AND PROPERTIES R . 380 A.2.3 ERGODICITY PRINCIPLE 380 A.2.4 DECOMPOSITION OF A TURBULENT FIELD 382 A.2.5 ISOTROPIC HOMOGENEOUS TURBULENCE 383 XXII TABLE OF CONTENTS A.3 INTRODUCTION TO SPECTRAL ANALYSIS OF THE ISOTROPIC TURBULENT FIELDS 383 A.3.1 DEFINITIONS 383 A.3.2 MODAL INTERACTIONS 385 A.3.3 SPECTRAL EQUATIONS 386 A.4 CHARACTERISTIC SCALES OF TURBULENCE 388 A.5 SPECTRAL DYNAMICS OF ISOTROPIC HOMOGENEOUS TURBULENCE .... 389 A.5.1 ENERGY CASCADE AND LOCAL ISOTROPY 389 A.5.2 EQUILIBRIUM SPECTRUM 389 B. EDQNM MODELING 391 B.I ISOTROPIC EDQNM MODEL 391 B.2 CAMBON S ANISOTROPIC EDQNM MODEL 393 BIBLIOGRAPHY 397 INDEX 423
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Physics and astronomy online library
spellingShingle Sagaut, Pierre 1967-
Large eddy simulation for incompressible flows an introduction ; with ... 15 tables
Strömungsmechanik (DE-588)4077970-1 gnd
Numerisches Verfahren (DE-588)4128130-5 gnd
LES Strömung (DE-588)4315616-2 gnd
Inkompressible Strömung (DE-588)4129759-3 gnd
subject_GND (DE-588)4077970-1
(DE-588)4128130-5
(DE-588)4315616-2
(DE-588)4129759-3
title Large eddy simulation for incompressible flows an introduction ; with ... 15 tables
title_alt Introduction à la simulation des grandes échelles pour les écoulements de fluide incompressible
title_auth Large eddy simulation for incompressible flows an introduction ; with ... 15 tables
title_exact_search Large eddy simulation for incompressible flows an introduction ; with ... 15 tables
title_full Large eddy simulation for incompressible flows an introduction ; with ... 15 tables Pierre Sagaut
title_fullStr Large eddy simulation for incompressible flows an introduction ; with ... 15 tables Pierre Sagaut
title_full_unstemmed Large eddy simulation for incompressible flows an introduction ; with ... 15 tables Pierre Sagaut
title_short Large eddy simulation for incompressible flows
title_sort large eddy simulation for incompressible flows an introduction with 15 tables
title_sub an introduction ; with ... 15 tables
topic Strömungsmechanik (DE-588)4077970-1 gnd
Numerisches Verfahren (DE-588)4128130-5 gnd
LES Strömung (DE-588)4315616-2 gnd
Inkompressible Strömung (DE-588)4129759-3 gnd
topic_facet Strömungsmechanik
Numerisches Verfahren
LES Strömung
Inkompressible Strömung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012915369&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT sagautpierre introductionalasimulationdesgrandesechellespourlesecoulementsdefluideincompressible
AT sagautpierre largeeddysimulationforincompressibleflowsanintroductionwith15tables