Statistical theory and modeling for turbulent flows:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
2001
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 285 S. Ill., graph. Darst. |
| ISBN: | 0471497363 0471497444 |
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Record in the Search Index
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| adam_text |
STATISTICAL THEORY AND MODELING FOR TURBULENT FLOWS P. A. DURBIN
STANFORD UNIVERSITY, STANFORD, USA B. A. PETTERSON REIF NORWEGIAN
DEFENCE RESEARCH ESTABLISHMENT NORWAY 1 JOHN WILEY & SONS, LTD
CHICHESTER * NEW YORK * WEINHEIM * BRISBANE * SINGAPORE * TORONTO
CONTENTS PREFACE XI MOTIVATION XI EPITOME XII ACKNOWLEDGMENTS XII I
FUNDAMENTALS OF TAIRBULENCE XV 1 INTRODUCTION 1 1.1 THE TURBULENCE
PROBLEM 1 1.2 CLOSURE MODELING 6 1.3 CATEGORIES OF TURBULENT FLOW 8 2
MATHEMATICAL AND STATISTICAL BACKGROUND 13 2.1 DIMENSIONAL ANALYSIS 13
2.1.1 SCALES OF TURBULENCE 16 2.2 STATISTICAL TOOLS 17 2.2.1 AVERAGES
ANDP.D.F.'S 17 2.2.2 CORRELATIONS 23 2.3 CARTESIAN TENSORS 30 2.3.1
ISOTROPIC TENSORS 32 2.3.2 TENSOR FUNCTIONS OF TENSORS; CAYLEY-HAMILTON
THEOREM 33 2.4 TRANSFORMATION TO CURVILINEAR COORDINATES 38 , 2.4.1
COVARIANT AND CONTRAVARIANT TENSOR QUANTITIES 38 2.4.2 DIFFERENTIATION
OF TENSORS 40 2.4.3 PHYSICAL COMPONENTS 42 3 REYNOLDS AVERAGED
NAVIER-STOKES EQUATIONS 47 3.1 REYNOLDS AVERAGED EQUATIONS 49 3.2 THE
TERMS OF THE KINETIC ENERGY AND REYNOLDS STRESS BUDGETS 51 3.3 PASSIVE
CONTAMINANT TRANSPORT 55 4 PARALLEL AND SELF-SIMILAR SHEAR FLOWS 59 4.1
PLANE CHANNEL FLOW 59 ^ 4.1.1 THE LOGARITHMIC LAYER 62 4.1.2 ROUGHNESS
65 VIII CONTENTS 4.2 THE BOUNDARY LAYER 66 4.2.1 ENTRAPMENT 70 4.3 FREE
SHEAR LAYERS 71 4.3.1 SPREADING RATES 76 4.3.2 REMARKS ON SELF-SIMILAR
BOUNDARY LAYERS 77 4.4 HEAT AND MASS TRANSFER 78 4.4.1 PARALLEL FLOW AND
BOUNDARY LAYERS 78 4.4.2 DISPERSION FROM ELEVATED SOURCES 82 5 VORTICITY
AND VORTICAL STRUCTURES 89 5.1 STRUCTURES 90 5.1.1 FREE SHEAR LAYERS 91
5.1.2 BOUNDARY LAYERS 95 5.1.3 NON-RANDOM VORTICES 99 5.2 VORTICITY AND
DISSIPATION 99 5.2.1 VORTEX STRETCHING AND RELATIVE DISPERSION 102 5.2.2
THE MEAN-SQUARED VORTICITY EQUATION 103 II SINGLE POINT CLOSURE MODELING
107 6 MODELS WITH SCALAR VARIABLES 109 6.1 BOUNDARY LAYER METHODS 110
6.1.1 INTEGRAL BOUNDARY LAYER METHODS ILL 6.1.2 THE MIXING LENGTH MODEL
114 6.2 THEK-S MODEL 118 6.2.1 ANALYTICAL SOLUTIONS TO THE K -S MODEL
120 6.2.2 BOUNDARY CONDITIONS AND NEAR-WALL MODIFICATIONS 124 6.2.3 WEAK
SOLUTION AT EDGES OF FREE-SHEAR FLOW; FREE-STREAM SENSITIVITY 131 6.3
THE K - TO MODEL 132 6.4 THE STAGNATION POINT ANOMALY 136 6.5 THE
QUESTION OF TRANSITION 138 6.6 EDDY VISCOSITY TRANSPORT MODELS 140 7
MODELS WITH TENSOR VARIABLES 147 7.1 SECOND MOMENT TRANSPORT 147 7.1.1 A
SIMPLE ILLUSTRATION 148 7.1.2 CLOSING THE REYNOLDS STRESS TRANSPORT
EQUATION 148 7.1.3 MODELS FOR THE SLOW PART 150 7.1.4 MODELS FOR THE
RAPID PART 153 7.2 ANALYTIC SOLUTIONS TO SMC MODELS 158 7.2.1
HOMOGENEOUS SHEAR FLOW 160 7.2.2 CURVED SHEAR FLOW 162 7.3
NON-HOMOGENEITY 166 7.3.1 TURBULENT TRANSPORT 167 7.3.2 NEAR-WALL
MODELING 168 J 7.3.3 NO-SLIP 169 7.3.4 NON-LOCAL WALL EFFECTS 170
CONTENTS IX 7.4 REYNOLDS AVERAGED COMPUTATION 181 7.4.1 NUMERICAL ISSUES
181 7.4.2 EXAMPLES OF REYNOLDS AVERAGED COMPUTATION 185 8 ADVANCED
TOPICS 201 8.1 FURTHER MODELING PRINCIPLES 201 8.1.1 GALILEAN INVARIANCE
AND FRAME ROTATION 202 8.1.2 READABILITY 205 8.2 MOVING EQUILIBRIUM
SOLUTIONS OF SMC 207 8.2.1 CRITERION FOR STEADY MEAN FLOW 208 8.2.2
SOLUTION IN TWO-DIMENSIONAL MEAN FLOW 209 8.2.3 BIFURCATIONS 212 8.3
PASSIVE SCALAR FLUX MODELING 215 8.3.1 SCALAR DIFFUSIVITY MODELS 215
8.3.2 TENSOR DIFFUSIVITY MODELS 216 8.3.3 SCALAR FLUX TRANSPORT 218
8.3.4 SCALAR VARIANCE 221 8.4 ACTIVE SCALAR FLUX MODELING: EFFECTS OF
BUOYANCY 222 8.4.1 SECOND MOMENT TRANSPORT MODELS 224 8.4.2 STRATIFIED
SHEAR FLOW 226 III THEORY OF HOMOGENEOUS TURBULENCE 229 9 MATHEMATICAL
REPRESENTATIONS 231 9.1 FOURIER TRANSFORMS 232 9.2 THE 3-D ENERGY
SPECTRUM OF HOMOGENEOUS TURBULENCE 233 9.2.1 THE SPECTRUM TENSOR AND
VELOCITY COVARIANCES 234 9.2.2 MODELING THE ENERGY SPECTRUM 236 10
NAVIER-STOKES EQUATIONS IN SPECTRAL SPACE 247 10.1 CONVOLUTION INTEGRALS
AS TRIAD INTERACTION 247 10.2 EVOLUTION OF SPECTRA 249 10.2.1 SMALL
FC-BEHAVIOR AND ENERGY DECAY 249 10.2.2 THE ENERGY CASCADE 250 10.2.3
FINAL PERIOD OF DECAY 254 11 RAPID DISTORTION THEORY 257 11.1
IRROTATIONAL MEAN FLOW 258 11.1.1 CAUCHY FORM OF THE VORTICITY EQUATION
258 11.1.2 DISTORTION OF A FOURIER MODE 261 11.1.3 CALCULATION OF
COVARIANCES 262 11.2 GENERAL HOMOGENEOUS DISTORTIONS 267 11.2.1
HOMOGENEOUS SHEAR 268 11.2.2 TURBULENCE NEAR A WALL 271 REFERENCES 277
INDEX 283 |
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| language | English |
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| spelling | Durbin, Paul A. Verfasser aut Statistical theory and modeling for turbulent flows P. A. Durbin ; B. A. Pettersson Reif Chichester [u.a.] Wiley 2001 XIII, 285 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Turbulente Strömung - Mathematisches Modell Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Numerisches Modell (DE-588)4338132-7 s DE-604 Statistisches Modell (DE-588)4121722-6 s 1\p DE-604 Reif, B. A. Pettersson Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009433063&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 | Durbin, Paul A. Reif, B. A. Pettersson Statistical theory and modeling for turbulent flows Turbulente Strömung - Mathematisches Modell Statistisches Modell (DE-588)4121722-6 gnd Turbulente Strömung (DE-588)4117265-6 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| subject_GND | (DE-588)4121722-6 (DE-588)4117265-6 (DE-588)4338132-7 |
| title | Statistical theory and modeling for turbulent flows |
| title_auth | Statistical theory and modeling for turbulent flows |
| title_exact_search | Statistical theory and modeling for turbulent flows |
| title_full | Statistical theory and modeling for turbulent flows P. A. Durbin ; B. A. Pettersson Reif |
| title_fullStr | Statistical theory and modeling for turbulent flows P. A. Durbin ; B. A. Pettersson Reif |
| title_full_unstemmed | Statistical theory and modeling for turbulent flows P. A. Durbin ; B. A. Pettersson Reif |
| title_short | Statistical theory and modeling for turbulent flows |
| title_sort | statistical theory and modeling for turbulent flows |
| topic | Turbulente Strömung - Mathematisches Modell Statistisches Modell (DE-588)4121722-6 gnd Turbulente Strömung (DE-588)4117265-6 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Turbulente Strömung - Mathematisches Modell Statistisches Modell Turbulente Strömung Numerisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009433063&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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