Verfügbarkeit: Multiscale and multiresolution approaches in turbulence

Multiscale and multiresolution approaches in turbulence:

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Sagaut, Pierre 1967- (VerfasserIn), Deck, Sebastien (VerfasserIn), Terracol, Marc (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	London Imperial College Press 2006
Schlagworte:	Mathematisches Modell Turbulence > Mathematical models Modellierung Turbulente Strömung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Includes bibliographical references and index
Beschreibung:	xiv, 340 p. Ill., graph. Darst. 24 cm
ISBN:	186094650X

Internformat

MARC


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Datensatz im Suchindex

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adam_text	MULTISCALE AND MULTIRESOLUTION APPROACHESINLURBULENCE ICP PIERRE SAGAUT UNIVERSITE PIERRE ET MARIE CURIE, FRANCE SEBASTIEN DECK ONERA, FRANCE MARC TERRACOL ONERA, FRANCE IMPERIAL COLLEGE PRESS CONTENTS PREFACE VII 1. A BRIEF INTRODUCTION TO TURBULENCE 1 1.1 COMMON FEATURES OF TURBULENT FLOWS 1 1.1.1 INTRODUCTORY CONCEPTS 1 1.1.2 RANDOMNESS AND COHERENT STRUCTURE IN TURBULENT FLOWS 3 1.2 TURBULENT SCALES AND COMPLEXITY OF A TURBULENT FIELD ... 5 1.2.1 BASIC EQUATIONS OF TURBULENT FLOW 5 1.2.2 DEFINING TURBULENT SCALES 8 1.2.3 A GLIMPSE AT NUMERICAL SIMULATIONS OF TURBULENT FLOWS 13 1.3 INTER-SCALE COUPLING IN TURBULENT FLOWS 14 1.3.1 THE ENERGY CASCADE 14 1.3.2 INTER-SCALE INTERACTIONS 16 2. TURBULENCE SIMULATION AND SCALE SEPARATION 21 2.1 NUMERICAL SIMULATION OF TURBULENT FLOWS 21 2.2 REDUCING THE COST OF THE SIMULATIONS 23 2.2.1 SCALE SEPARATION 24 2.2.2 NAVIER-STOKES-BASED EQUATIONS FOR THE RESOLVED QUANTITIES 24 2.2.3 NAVIER-STOKES-BASED EQUATIONS FOR THE UNRESOLVED QUANTITIES 26 2.3 THE AVERAGING APPROACH: REYNOLDS-AVERAGED NUMERICAL SIMULATION (RANS) 26 2.3.1 STATISTICAL AVERAGE 26 2.3.2 REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS 28 IX X CONTENTS 2.3.3 PHASE-AVERAGED NAVIER STOKES EQUATIONS 29 2.4 THE LARGE EDDY SIMULATION APPROACH (LES) 31 2.4.1 LARGE AND SMALL SCALES SEPARATION 31 2.4.2 FILTERED NAVIER-STOKES EQUATIONS 33 2.5 MULTILEVEL/MULTIRESOLUTION METHODS 35 2.5.1 HIERARCHICAL MULTILEVEL DECOMPOSITION 36 2.5.2 PRACTICAL EXAMPLE: THE MULTISCALE/MULTILEVEL LES DECOMPOSITION 38 2.5.3 ASSOCIATED NAVIER-STOKES-BASED EQUATIONS 39 2.5.4 CLASSIFICATION OF EXISTING MULTILEVEL METHODS 41 2.5.4.1 MULTILEVEL METHODS BASED ON RESOLVED-ONLY WAVENUMBERS 41 2.5.4.2 MULTILEVEL METHODS BASED ON HIGHER WAVENUMBERS 42 2.5.4.3 ADAPTIVE MULTILEVEL METHODS 43 2.6 SUMMARY 44 3. STATISTICAL MULTISCALE MODELLING 51 3.1 GENERAL 51 3.2 EXACT GOVERNING EQUATIONS FOR THE MULTISCALE PROBLEM ... 54 3.2.1 BASIC EQUATIONS IN PHYSICAL AND SPECTRAL SPACE . . . . 54 3.2.2 THE MULTISCALE SPLITTING 59 3.2.3 GOVERNING EQUATIONS FOR BAND-INTEGRATED APPROACHES 60 3.3 SPECTRAL CLOSURES FOR BAND-INTEGRATED APPROACHES 62 3.3.1 LOCAL VERSUS NON-LOCAL TRANSFERS 62 3.3.2 EXPRESSION FOR THE SPECTRAL FLUXES 64 3.3.3 DYNAMIC SPECTRAL SPLITTING 67 3.3.4 TURBULENT DIFFUSION TERMS 68 3.3.5 VISCOUS DISSIPATION TERM 68 3.3.6 PRESSURE TERM 69 3.4 A FEW MULTISCALE MODELS FOR BAND-INTEGRATED APPROACHES 69 3.4.1 MULTISCALE REYNOLDS STRESS MODEIS 69 3.4.2 MULTISCALE EDDY-VISCOSITY MODEIS 70 3.5 SPECTRAL CLOSURES FOR LOCAL APPROACHES 71 3.5.1 LOCAL MULTISCALE REYNOLDS STRESS MODEIS 71 3.5.1.1 CLOSURES FOR THE LINEAR TRANSFER TERM 72 3.5.1.2 CLOSURES FOR THE LINEAR PRESSURE TERM .... 73 CONTENTS XI 3.5.1.3 CLOSURES FOR THE NON-LINEAR HOMOGENEOUS TRANSFER TERM 74 3.5.1.4 CLOSURES FOR THE NON-LINEAR NON-HOMOGENEOUS TRANSFER TERM 76 3.5.2 LOCAL MULTISCALE EDDY-VISCOSITY MODEIS 77 3.6 ACHIEVEMENTS AND OPEN ISSUES 78 MULTISCALE SUBGRID MODELS: SELF-ADAPTIVITY 87 4.1 FUNDAMENTALS OF SUBGRID MODELLING 87 4.1.1 FUNCTIONAL AND STRUCTURAL SUBGRID MODEIS 87 4.1.2 THE GABOR-HEISENBERG CURSE 88 4.2 GERMANO-TYPE DYNAMIC SUBGRID MODELS 93 4.2.1 GERMANO IDENTITY 93 4.2.1.1 TWO-LEVEL MULTIPLICATIVE GERMANO IDENTITY . 93 4.2.1.2 MULTILEVEL GERMANO IDENTITY 95 4.2.1.3 GENERALIZED GERMANO IDENTITY 96 4.2.2 DERIVATION OF DYNAMIC SUBGRID MODEIS 96 4.2.3 DYNAMIC MODEIS AND SELF-SIMILARITY 99 4.2.3.1 TURBULENCE SELF-SIMILARITY 99 4.2.3.2 SCALE-SEPARATION OPERATOR SELF-SIMILARITY . . . 106 4.3 SELF-SIMILARITY BASED DYNAMIC SUBGRID MODELS 108 4.3.1 TERRACOL-SAGAUT PROCEDURE 109 4.3.2 SHAO PROCEDURE 111 4.4 VARIATIONAL MULTISCALE METHODS AND RELATED SUBGRID VISCOSITY MODELS 114 4.4.1 HUGHES VMS APPROACH AND EXTENDED FORMULATIONS . 115 4.4.2 IMPLEMENTATION OF THE SCALE SEPARATION OPERATOR . . . 119 4.4.3 BRIDGING WITH HYPERVISCOSITY AND FILTERED MODEIS . . 123 STRUCTURAL MULTISCALE SUBGRID MODELS: SMALL SCALES ESTIMATIONS 125 5.1 SMALL-SCALE RECONSTRUCTION METHODS: DECONVOLUTION .... 126 5.1.1 THE VELOCITY ESTIMATION MODEL 128 5.1.2 THE APPROXIMATE DECONVOLUTION MODEL (ADM) ... 134 5.2 SMALL SCALES RECONSTRUCTION: MULTIFRACTAL SUBGRID-SCALE MODELLING 141 5.2.1 GENERAL IDEA OF THE METHOD 141 5.2.2 MULTIFRACTAL RECONSTRUCTION OF SUBGRID VORTICITY . . . 142 5.2.2.1 VORTICITY MAGNITUDE CASCADE 142 XII CONTENTS 5.2.2.2 VORTICITY ORIENTATION CASCADE 144 5.2.2.3 RECONSTRUCTION OF THE SUBGRID VELOCITY FIELD . 146 5.3 MULTIGRID-BASED DECOMPOSITION 146 5.4 GLOBAL MULTIGRID APPROACHES: CYCLING METHODS 151 5.4.1 THE MULTIMESH METHOD OF VOKE 152 5.4.2 THE MULTILEVEL LES METHOD OF TERRACOL ET AL 153 5.4.2.1 CYCLING PROCEDURE 154 5.4.2.2 MULTILEVEL SUBGRID CLOSURES 156 (A) DYNAMIC MIXED MULTILEVEL CLOSURE . . 157 (B) GENERALIZED MULTILEVEL CLOSURE . . . . 161 5.4.2.3 EXAMPLES OF APPLICATION 162 5.5 ZONAL MULTIGRID/MULTIDOMAIN METHODS 163 6. UNSTEADY TURBULENCE SIMULATION ON SELF-ADAPTIVE GRIDS 173 6.1 TURBULENCE AND SELF-ADAPTIVITY: EXPECTATIONS AND ISSUES 173 6.2 ADAPTIVE MULTILEVEL DNS AND LES 178 6.2.1 DYNAMIC LOCAL MULTILEVEL LES 179 6.2.2 THE DYNAMIC MULTILEVEL (DML) METHOD OF DUBOIS, JAUBERTEAU AND TEMAM 183 6.2.2.1 SPECTRAL MULTILEVEL DECOMPOSITION 184 6.2.2.2 ASSOCIATED NAVIER-STOKES-BASED EQUATIONS . 185 6.2.2.3 QUASI-STATIC APPROXIMATION 187 6.2.2.4 GENERAL DESCRIPTION OF THE SPECTRAL MULTILEVEL METHOD 188 6.2.2.5 DYNAMIC ESTIMATION OF THE PARAMETERS I , I-I AND NV 189 6.2.3 DYNAMIC GLOBAL MULTILEVEL LES 191 6.3 ADAPTIVE WAVELET-BASED METHODS: CVS, SCALES 195 6.3.1 WAVELET DECOMPOSITION: BRIEF REMINDER 196 6.3.2 COHERENCY DIAGRAM OF A TURBULENT FIELD 198 6.3.2.1 INTRODUCTION TO THE COHERENCY DIAGRAM . . . 198 6.3.2.2 THRESHOLD VALUE AND ERROR CONTROL 201 6.3.3 ADAPTIVE WAVELET BASED DIRECT NUMERICAL SIMULATION 203 6.3.4 COHERENT VORTEX CAPTURING METHOD 204 6.3.5 STOCHASTIC COHERENT ADAPTIVE LARGE EDDY SIMULATION 205 6.4 DNS AND LES WITH OPTIMAL AMR 207 6.4.1 ERROR DEFINITION: SURFACIC VERSUS VOLUMIC FORMULATION 207 6.4.2 A POSTERIORI ERROR ESTIMATION AND OPTIMIZATION LOOP . 209 CONTENTS XIII 6.4.3 NUMERICAL RESULTS 211 7. GLOBAL HYBRID RANS/LES METHODS 219 7.1 BRIDGING BETWEEN HYBRID RANS/LES METHODS AND MULTISCALE METHODS 219 7.1.1 CONCEPT: THE EFFECTIVE FILTER 219 7.1.2 EDDY VISCOSITY EFFECTIVE FILTER 221 7.1.3 GLOBAL HYBRID RANS/LES METHODS AS MULTISCALE METHODS 223 7.2 MOTIVATION AND CLASSIFICATION OF RANS/LES METHODS ... 224 7.3 UNSTEADY STATISTICAL MODELLING APPROACHES 228 7.3.1 UNSTEADY RANS APPROACH 228 7.3.2 THE SEMI-DETERMINISTIC METHOD OF HA MINH 231 7.3.3 THE SCALE ADAPTIVE SIMULATION 237 7.3.4 THE TURBULENCE-RESOLVING RANS APPROACH OF TRAVIN ET AL 241 7.4 GLOBAL HYBRID APPROACHES 243 7.4.1 THE APPROACH OF SPEZIALE 244 7.4.2 LIMITED NUMERICAL SCALES (LNS) 247 7.4.2.1 GENERAL IDEA OF LNS 247 7.4.2.2 EXAMPLE OF APPLICATION 248 7.4.3 BLENDING METHODS 249 7.4.3.1 GENERAL IDEA OF BLENDING METHODS 249 7.4.3.2 APPLICATIONS 251 7.4.4 DETACHED-EDDY SIMULATION 254 7.4.4.1 GENERAL IDEA 254 7.4.4.2 DES BASED ON THE SA MODEL 256 7.4.4.3 POSSIBLE EXTENSIONS OF STANDARD SA-DES . . 259 7.4.4.4 EXAMPLES 261 7.4.4.5 DES BASED ON THE K - W MODEL 261 7.4.4.6 EXTRA-LARGE EDDY SIMULATION (XLES) ... 265 7.4.5 GREY AREA-GRID INDUCED SEPARATION (GIS) 267 7.4.6 SOLUTIONS AGAINST GIS 270 7.4.6.1 MODIFYING THE LENGTH SCALE 270 7.4.6.2 ZONAL-DES 271 7.4.6.3 SHIELDING THE BOUNDARY LAYER-DELAYED DETACHED EDDY SIMULATION 273 7.5 SUMMARY 276 CONTENTS 8. ZONAL RANS/LES METHODS 283 8.1 THEORETICAL SETTING OF RANS/LES COUPLING 285 8.1.1 FULL-VARIABLES APPROACH 285 8.1.1.1 ENRICHMENT PROCEDURE FROM RANS TO LES . 287 8.1.1.2 RESTRICTION PROCEDURE FROM LES TO RANS . 289 8.1.2 PERTURBATION APPROACH: NLDE 290 8.2 INLET DATA GENERATION - MAPPING TECHNIQUES 294 8.2.1 PRECURSOR CALCULATION 295 8.2.2 RECYCLING METHODS 298 8.2.3 FORCING CONDITIONS 303 8.3 TURBULENCE RECONSTRUCTION FOR INFLOW CONDITIONS 306 8.3.1 RANDOM FLUCTUATIONS 307 8.3.2 INVERSE FOURIER TRANSFORM TECHNIQUE 307 8.3.3 RANDOM FOURIER MODES SYNTHESIZATION 309 8.3.4 SYNTHETIC TURBULENCE 315 BIBLIOGRAPHY 321 INDEX 339
adam_txt	MULTISCALE AND MULTIRESOLUTION APPROACHESINLURBULENCE ICP PIERRE SAGAUT UNIVERSITE PIERRE ET MARIE CURIE, FRANCE SEBASTIEN DECK ONERA, FRANCE MARC TERRACOL ONERA, FRANCE IMPERIAL COLLEGE PRESS CONTENTS PREFACE VII 1. A BRIEF INTRODUCTION TO TURBULENCE 1 1.1 COMMON FEATURES OF TURBULENT FLOWS 1 1.1.1 INTRODUCTORY CONCEPTS 1 1.1.2 RANDOMNESS AND COHERENT STRUCTURE IN TURBULENT FLOWS 3 1.2 TURBULENT SCALES AND COMPLEXITY OF A TURBULENT FIELD . 5 1.2.1 BASIC EQUATIONS OF TURBULENT FLOW 5 1.2.2 DEFINING TURBULENT SCALES 8 1.2.3 A GLIMPSE AT NUMERICAL SIMULATIONS OF TURBULENT FLOWS 13 1.3 INTER-SCALE COUPLING IN TURBULENT FLOWS 14 1.3.1 THE ENERGY CASCADE 14 1.3.2 INTER-SCALE INTERACTIONS 16 2. TURBULENCE SIMULATION AND SCALE SEPARATION 21 2.1 NUMERICAL SIMULATION OF TURBULENT FLOWS 21 2.2 REDUCING THE COST OF THE SIMULATIONS 23 2.2.1 SCALE SEPARATION 24 2.2.2 NAVIER-STOKES-BASED EQUATIONS FOR THE RESOLVED QUANTITIES 24 2.2.3 NAVIER-STOKES-BASED EQUATIONS FOR THE UNRESOLVED QUANTITIES 26 2.3 THE AVERAGING APPROACH: REYNOLDS-AVERAGED NUMERICAL SIMULATION (RANS) 26 2.3.1 STATISTICAL AVERAGE 26 2.3.2 REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS 28 IX X CONTENTS 2.3.3 PHASE-AVERAGED NAVIER STOKES EQUATIONS 29 2.4 THE LARGE EDDY SIMULATION APPROACH (LES) 31 2.4.1 LARGE AND SMALL SCALES SEPARATION 31 2.4.2 FILTERED NAVIER-STOKES EQUATIONS 33 2.5 MULTILEVEL/MULTIRESOLUTION METHODS 35 2.5.1 HIERARCHICAL MULTILEVEL DECOMPOSITION 36 2.5.2 PRACTICAL EXAMPLE: THE MULTISCALE/MULTILEVEL LES DECOMPOSITION 38 2.5.3 ASSOCIATED NAVIER-STOKES-BASED EQUATIONS 39 2.5.4 CLASSIFICATION OF EXISTING MULTILEVEL METHODS 41 2.5.4.1 MULTILEVEL METHODS BASED ON RESOLVED-ONLY WAVENUMBERS 41 2.5.4.2 MULTILEVEL METHODS BASED ON HIGHER WAVENUMBERS 42 2.5.4.3 ADAPTIVE MULTILEVEL METHODS 43 2.6 SUMMARY 44 3. STATISTICAL MULTISCALE MODELLING 51 3.1 GENERAL 51 3.2 EXACT GOVERNING EQUATIONS FOR THE MULTISCALE PROBLEM . 54 3.2.1 BASIC EQUATIONS IN PHYSICAL AND SPECTRAL SPACE . . . . 54 3.2.2 THE MULTISCALE SPLITTING 59 3.2.3 GOVERNING EQUATIONS FOR BAND-INTEGRATED APPROACHES 60 3.3 SPECTRAL CLOSURES FOR BAND-INTEGRATED APPROACHES 62 3.3.1 LOCAL VERSUS NON-LOCAL TRANSFERS 62 3.3.2 EXPRESSION FOR THE SPECTRAL FLUXES 64 3.3.3 DYNAMIC SPECTRAL SPLITTING 67 3.3.4 TURBULENT DIFFUSION TERMS 68 3.3.5 VISCOUS DISSIPATION TERM 68 3.3.6 PRESSURE TERM 69 3.4 A FEW MULTISCALE MODELS FOR BAND-INTEGRATED APPROACHES 69 3.4.1 MULTISCALE REYNOLDS STRESS MODEIS 69 3.4.2 MULTISCALE EDDY-VISCOSITY MODEIS 70 3.5 SPECTRAL CLOSURES FOR LOCAL APPROACHES 71 3.5.1 LOCAL MULTISCALE REYNOLDS STRESS MODEIS 71 3.5.1.1 CLOSURES FOR THE LINEAR TRANSFER TERM 72 3.5.1.2 CLOSURES FOR THE LINEAR PRESSURE TERM . 73 CONTENTS XI 3.5.1.3 CLOSURES FOR THE NON-LINEAR HOMOGENEOUS TRANSFER TERM 74 3.5.1.4 CLOSURES FOR THE NON-LINEAR NON-HOMOGENEOUS TRANSFER TERM 76 3.5.2 LOCAL MULTISCALE EDDY-VISCOSITY MODEIS 77 3.6 ACHIEVEMENTS AND OPEN ISSUES 78 MULTISCALE SUBGRID MODELS: SELF-ADAPTIVITY 87 4.1 FUNDAMENTALS OF SUBGRID MODELLING 87 4.1.1 FUNCTIONAL AND STRUCTURAL SUBGRID MODEIS 87 4.1.2 THE GABOR-HEISENBERG CURSE 88 4.2 GERMANO-TYPE DYNAMIC SUBGRID MODELS 93 4.2.1 GERMANO IDENTITY 93 4.2.1.1 TWO-LEVEL MULTIPLICATIVE GERMANO IDENTITY . 93 4.2.1.2 MULTILEVEL GERMANO IDENTITY 95 4.2.1.3 GENERALIZED GERMANO IDENTITY 96 4.2.2 DERIVATION OF DYNAMIC SUBGRID MODEIS 96 4.2.3 DYNAMIC MODEIS AND SELF-SIMILARITY 99 4.2.3.1 TURBULENCE SELF-SIMILARITY 99 4.2.3.2 SCALE-SEPARATION OPERATOR SELF-SIMILARITY . . . 106 4.3 SELF-SIMILARITY BASED DYNAMIC SUBGRID MODELS 108 4.3.1 TERRACOL-SAGAUT PROCEDURE 109 4.3.2 SHAO PROCEDURE 111 4.4 VARIATIONAL MULTISCALE METHODS AND RELATED SUBGRID VISCOSITY MODELS 114 4.4.1 HUGHES VMS APPROACH AND EXTENDED FORMULATIONS . 115 4.4.2 IMPLEMENTATION OF THE SCALE SEPARATION OPERATOR . . . 119 4.4.3 BRIDGING WITH HYPERVISCOSITY AND FILTERED MODEIS . . 123 STRUCTURAL MULTISCALE SUBGRID MODELS: SMALL SCALES ESTIMATIONS 125 5.1 SMALL-SCALE RECONSTRUCTION METHODS: DECONVOLUTION . 126 5.1.1 THE VELOCITY ESTIMATION MODEL 128 5.1.2 THE APPROXIMATE DECONVOLUTION MODEL (ADM) . 134 5.2 SMALL SCALES RECONSTRUCTION: MULTIFRACTAL SUBGRID-SCALE MODELLING 141 5.2.1 GENERAL IDEA OF THE METHOD 141 5.2.2 MULTIFRACTAL RECONSTRUCTION OF SUBGRID VORTICITY . . . 142 5.2.2.1 VORTICITY MAGNITUDE CASCADE 142 XII CONTENTS 5.2.2.2 VORTICITY ORIENTATION CASCADE 144 5.2.2.3 RECONSTRUCTION OF THE SUBGRID VELOCITY FIELD . 146 5.3 MULTIGRID-BASED DECOMPOSITION 146 5.4 GLOBAL MULTIGRID APPROACHES: CYCLING METHODS 151 5.4.1 THE MULTIMESH METHOD OF VOKE 152 5.4.2 THE MULTILEVEL LES METHOD OF TERRACOL ET AL 153 5.4.2.1 CYCLING PROCEDURE 154 5.4.2.2 MULTILEVEL SUBGRID CLOSURES 156 (A) DYNAMIC MIXED MULTILEVEL CLOSURE . . 157 (B) GENERALIZED MULTILEVEL CLOSURE . . . . 161 5.4.2.3 EXAMPLES OF APPLICATION 162 5.5 ZONAL MULTIGRID/MULTIDOMAIN METHODS 163 6. UNSTEADY TURBULENCE SIMULATION ON SELF-ADAPTIVE GRIDS 173 6.1 TURBULENCE AND SELF-ADAPTIVITY: EXPECTATIONS AND ISSUES 173 6.2 ADAPTIVE MULTILEVEL DNS AND LES 178 6.2.1 DYNAMIC LOCAL MULTILEVEL LES 179 6.2.2 THE DYNAMIC MULTILEVEL (DML) METHOD OF DUBOIS, JAUBERTEAU AND TEMAM 183 6.2.2.1 SPECTRAL MULTILEVEL DECOMPOSITION 184 6.2.2.2 ASSOCIATED NAVIER-STOKES-BASED EQUATIONS . 185 6.2.2.3 QUASI-STATIC APPROXIMATION 187 6.2.2.4 GENERAL DESCRIPTION OF THE SPECTRAL MULTILEVEL METHOD 188 6.2.2.5 DYNAMIC ESTIMATION OF THE PARAMETERS I\, I-I AND NV 189 6.2.3 DYNAMIC GLOBAL MULTILEVEL LES 191 6.3 ADAPTIVE WAVELET-BASED METHODS: CVS, SCALES 195 6.3.1 WAVELET DECOMPOSITION: BRIEF REMINDER 196 6.3.2 COHERENCY DIAGRAM OF A TURBULENT FIELD 198 6.3.2.1 INTRODUCTION TO THE COHERENCY DIAGRAM . . . 198 6.3.2.2 THRESHOLD VALUE AND ERROR CONTROL 201 6.3.3 ADAPTIVE WAVELET BASED DIRECT NUMERICAL SIMULATION 203 6.3.4 COHERENT VORTEX CAPTURING METHOD 204 6.3.5 STOCHASTIC COHERENT ADAPTIVE LARGE EDDY SIMULATION 205 6.4 DNS AND LES WITH OPTIMAL AMR 207 6.4.1 ERROR DEFINITION: SURFACIC VERSUS VOLUMIC FORMULATION 207 6.4.2 A POSTERIORI ERROR ESTIMATION AND OPTIMIZATION LOOP . 209 CONTENTS XIII 6.4.3 NUMERICAL RESULTS 211 7. GLOBAL HYBRID RANS/LES METHODS 219 7.1 BRIDGING BETWEEN HYBRID RANS/LES METHODS AND MULTISCALE METHODS 219 7.1.1 CONCEPT: THE EFFECTIVE FILTER 219 7.1.2 EDDY VISCOSITY EFFECTIVE FILTER 221 7.1.3 GLOBAL HYBRID RANS/LES METHODS AS MULTISCALE METHODS 223 7.2 MOTIVATION AND CLASSIFICATION OF RANS/LES METHODS . 224 7.3 UNSTEADY STATISTICAL MODELLING APPROACHES 228 7.3.1 UNSTEADY RANS APPROACH 228 7.3.2 THE SEMI-DETERMINISTIC METHOD OF HA MINH 231 7.3.3 THE SCALE ADAPTIVE SIMULATION 237 7.3.4 THE TURBULENCE-RESOLVING RANS APPROACH OF TRAVIN ET AL 241 7.4 GLOBAL HYBRID APPROACHES 243 7.4.1 THE APPROACH OF SPEZIALE 244 7.4.2 LIMITED NUMERICAL SCALES (LNS) 247 7.4.2.1 GENERAL IDEA OF LNS 247 7.4.2.2 EXAMPLE OF APPLICATION 248 7.4.3 BLENDING METHODS 249 7.4.3.1 GENERAL IDEA OF BLENDING METHODS 249 7.4.3.2 APPLICATIONS 251 7.4.4 DETACHED-EDDY SIMULATION 254 7.4.4.1 GENERAL IDEA 254 7.4.4.2 DES BASED ON THE SA MODEL 256 7.4.4.3 POSSIBLE EXTENSIONS OF STANDARD SA-DES . . 259 7.4.4.4 EXAMPLES 261 7.4.4.5 DES BASED ON THE K - W MODEL 261 7.4.4.6 EXTRA-LARGE EDDY SIMULATION (XLES) . 265 7.4.5 GREY AREA-GRID INDUCED SEPARATION (GIS) 267 7.4.6 SOLUTIONS AGAINST GIS 270 7.4.6.1 MODIFYING THE LENGTH SCALE 270 7.4.6.2 ZONAL-DES 271 7.4.6.3 SHIELDING THE BOUNDARY LAYER-DELAYED DETACHED EDDY SIMULATION 273 7.5 SUMMARY 276 CONTENTS 8. ZONAL RANS/LES METHODS 283 8.1 THEORETICAL SETTING OF RANS/LES COUPLING 285 8.1.1 FULL-VARIABLES APPROACH 285 8.1.1.1 ENRICHMENT PROCEDURE FROM RANS TO LES . 287 8.1.1.2 RESTRICTION PROCEDURE FROM LES TO RANS . 289 8.1.2 PERTURBATION APPROACH: NLDE 290 8.2 INLET DATA GENERATION - MAPPING TECHNIQUES 294 8.2.1 PRECURSOR CALCULATION 295 8.2.2 RECYCLING METHODS 298 8.2.3 FORCING CONDITIONS 303 8.3 TURBULENCE RECONSTRUCTION FOR INFLOW CONDITIONS 306 8.3.1 RANDOM FLUCTUATIONS 307 8.3.2 INVERSE FOURIER TRANSFORM TECHNIQUE 307 8.3.3 RANDOM FOURIER MODES SYNTHESIZATION 309 8.3.4 SYNTHETIC TURBULENCE 315 BIBLIOGRAPHY 321 INDEX 339
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id	DE-604.BV022247974
illustrated	Illustrated
index_date	2024-07-02T16:38:26Z
indexdate	2024-07-09T20:53:17Z
institution	BVB
isbn	186094650X
language	English
lccn	2006283992
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015458800
oclc_num	71346496
open_access_boolean
owner	DE-29T DE-83 DE-11
owner_facet	DE-29T DE-83 DE-11
physical	xiv, 340 p. Ill., graph. Darst. 24 cm
publishDate	2006
publishDateSearch	2006
publishDateSort	2006
publisher	Imperial College Press
record_format	marc
spelling	Sagaut, Pierre 1967- Verfasser (DE-588)1049515781 aut Multiscale and multiresolution approaches in turbulence Pierre Sagaut ; Sebasten Deck ; Marc Terracol London Imperial College Press 2006 xiv, 340 p. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematisches Modell Turbulence Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Modellierung (DE-588)4170297-9 s DE-604 Mathematisches Modell (DE-588)4114528-8 s Deck, Sebastien Verfasser aut Terracol, Marc Verfasser (DE-588)1140533037 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015458800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Sagaut, Pierre 1967- Deck, Sebastien Terracol, Marc Multiscale and multiresolution approaches in turbulence Mathematisches Modell Turbulence Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Modellierung (DE-588)4170297-9 gnd Turbulente Strömung (DE-588)4117265-6 gnd
subject_GND	(DE-588)4114528-8 (DE-588)4170297-9 (DE-588)4117265-6
title	Multiscale and multiresolution approaches in turbulence
title_auth	Multiscale and multiresolution approaches in turbulence
title_exact_search	Multiscale and multiresolution approaches in turbulence
title_exact_search_txtP	Multiscale and multiresolution approaches in turbulence
title_full	Multiscale and multiresolution approaches in turbulence Pierre Sagaut ; Sebasten Deck ; Marc Terracol
title_fullStr	Multiscale and multiresolution approaches in turbulence Pierre Sagaut ; Sebasten Deck ; Marc Terracol
title_full_unstemmed	Multiscale and multiresolution approaches in turbulence Pierre Sagaut ; Sebasten Deck ; Marc Terracol
title_short	Multiscale and multiresolution approaches in turbulence
title_sort	multiscale and multiresolution approaches in turbulence
topic	Mathematisches Modell Turbulence Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Modellierung (DE-588)4170297-9 gnd Turbulente Strömung (DE-588)4117265-6 gnd
topic_facet	Mathematisches Modell Turbulence Mathematical models Modellierung Turbulente Strömung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015458800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT sagautpierre multiscaleandmultiresolutionapproachesinturbulence AT decksebastien multiscaleandmultiresolutionapproachesinturbulence AT terracolmarc multiscaleandmultiresolutionapproachesinturbulence

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