Turbulence, coherent structures, dynamical systems and symmetry:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
1996
|
| Edition: | 1. publ. |
| Series: | Cambridge monographs on mechanics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis Seite 401 - 416 |
| Physical Description: | XVIII, 420 S. Ill., graph. Darst. |
| ISBN: | 0521551420 |
Staff View
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Record in the Search Index
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| adam_text | TURBULENCE, COHERENT STRUCTURES, DYNAMICAL SYSTEMS AND SYMMETRY PHILIP
HOLMES DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING AND PROGRAM IN
APPLIED AND COMPUTATIONAL MATHEMATICS, PRINCETON UNIVERSITY, USA JOHN L.
LUMLEY SIBLEY SCHOOL OF MECHANICAL AND AEROSPACE ENGINEERING, CORNELL
UNIVERSITY, USA AND GAL BERKOOZ SIBLEY SCHOOL OF MECHANICAL AND
AEROSPACE ENGINEERING, CORNELL UNIVERSITY, USA CAMBRIDGE UNIVERSITY
PRESS CONTENTS PREFACE VLEDG. PART EMENTS ONE: TURBULENCE INTRODUCTION
1.1 1.2 1.3 1.4 TURBULENCE LOW-DIMENSIONAL MODELS THE CONTENTS OF THIS
BOOK NOTATION AND MATHEMATICAL JARGON COHERENT STRUCTURES 2.1 2.2 2.3
2.4 2.5 2.6 INTRODUCTION FLOWS WITH COHERENT STRUCTURES DETECTION OF
COHERENT STRUCTURES THE MIXING LAYER THE TURBULENT BOUNDARY LAYER A
PREVIEW OF THINGS TO COME PROPER ORTHOGONAL DECOMPOSITION 3.1 3.2 3.3
3.4 3.5 3.6 INTRODUCTION ON DOMAINS AND AVERAGING PROPERTIES OF THE POD
3.3.1 SPAN OF THE EMPIRICAL BASIS 3.3.2 OPTIMALITY 3.3.3 SYMMETRY 3.3.4
ATTRACTORS FURTHER RESULTS STOCHASTIC ESTIMATION COHERENT STRUCTURES AND
HOMOGENEITY PAGE XNI XVII 1 3 3 6 10 13 20 20 26 39 44 63 82 86 88 91 93
94 97 100 103 108 110 113 IX X CONTENTS 3.7 SOME APPLICATIONS 117 3.7.1
WALL BOUNDED FLOWS 117 3.7.2 FREE SHEAR FLOWS 120 3.7.3 RAYLEIGH-BENARD
CONVECTION 121 3.7.4 MODEL PROBLEMS ~ 121 3.8 APPENDIX: SOME FOUNDATIONS
122 3.8.1 PROBABILITY MEASURES 122 3.8.2 COMPACTNESS OF 9? 124 3.8.3
SYMMETRY AND INVARIANT SUBSPACES 126 3.8.4 SPECTRAL DECAY AND
APPROXIMATE COMPACTNESS 127 4 GALERKIN PROJECTION 129 4.1 INTRODUCTION
130 4.2 SOME SIMPLE PDES REVISITED 133 4.3 THE NAVIER-STOKES EQUATIONS
139 4.4 TOWARDS LOW-DIMENSIONAL MODELS 144 PART TWO: DYNAMICAL SYSTEMS
155 5 QUALITATIVE THEORY * 157 5.1 LINEARISATION AND INVARIANT MANIFOLDS
159 5.2 PERIODIC ORBITS AND POINCARE MAPS 166 5.3 STRUCTURAL STABILITY
AND GENERICITY 169 5.4 BIFURCATIONS LOCAL AND GLOBAL 174 5.5 ATTRACTORS
SIMPLE AND STRANGE 187 6 SYMMETRY 201 6.1 EQUIVARIANT VECTOR FIELDS 202
6.2 LOCAL BIFURCATION WITH SYMMETRY 206 6.3 GLOBAL BEHAVIOR WITH
SYMMETRY 207 6.4 AN O(2)-EQUIVARIANT ODE 215 7 ONE-DIMENSIONAL
TURBULENCE 227 7.1 PROJECTION ONTO FOURIER MODES 229 7.2 LOCAL
BIFURCATIONS FROM U = 0 231 7.3 THE SECOND BIFURCATION POINT 234 7.4
SPATIO-TEMPORAL CHAOS 240 8 RANDOMLY PERTURBED SYSTEMS 253 8.1 AN
ORNSTEIN-UHLENBECK PROCESS 254 8.2 NOISY HETEROCLINIC CYCLES 258 8.3
POWER SPECTRA OF HOMOCLINIC ATTRACTORS 267 8.4 SYMMETRY BREAKING 269
CONTENTS XI PART THREE: THE BOUNDARY LAYER 273 9 LOW-DIMENSIONAL MODELS
275 9.1 EQUATIONS FOR COHERENT STRUCTURES 276 9.2 THE EIGENFUNCTION
EXPANSION 281 9.3 SYMMETRIES 282 9.4 GALERKIN PROJECTION 284 9.5
GEOMETRICAL STRUCTURE OF THE MODEL 292 9.6 CHOOSING SUBSPACES AND
DOMAINS 294 9.7 THE ENERGY BUDGET 299 9.7.1 THE RATIO (UIU 2 )/(UW,)
300 9.7.2 THE MEAN VELOCITY PROFILE 303 9.8 NON-LINEAR FEEDBACK 305 9.9
INTERACTION WITH UNRESOLVED MODES 311 10 BEHAVIOR OF THE MODELS 315 10.1
BACKBONES FOR THE MODELS 316 10.2 HETEROCLINIC CYCLES 321 10.3 BURSTS
AND SWEEPS 326 O 10.4 THE PRESSURE TERM 328 10.5 MORE MODES AND
INSTABILITIES 333 10.6 A TENTATIVE SUMMARY 338 10.7 APPENDIX:
COEFFICIENTS 344 PART FOUR: OTHER APPLICATIONS AND RELATED WORK 347 11
SOME OTHER FLUID PROBLEMS 349 11.1 THE CIRCULAR JET 350 355 360 364 368
373 376 377 381 385 390 395 401 417 11.2 11.3 11.4 11.5 11.6 12 REVIEW
12.1 12.2 12.3 12.4 12.5 BIBLIOGRAPHY INDEX THE TRANSITIONAL BOUNDARY
LAYER A FORCED TRANSITIONAL MIXING LAYER FLOWS IN COMPLEX GEOMETRIES
FULL CHANNEL WALL LAYER MODELS DISCUSSION : PROSPECTS FOR RIGOR THE
QUALITY OF MODELS A SHORT-TIME TRACKING ESTIMATE STABILITY, SIMULATIONS,
AND STATISTICS SPATIAL LOCALISATION THE UTILITY OF MODELS
|
| any_adam_object | 1 |
| author | Holmes, Philip Lumley, John L. 1930-2015 Berkooz, Gal |
| author_GND | (DE-588)12273985X |
| author_facet | Holmes, Philip Lumley, John L. 1930-2015 Berkooz, Gal |
| author_role | aut aut aut |
| author_sort | Holmes, Philip |
| author_variant | p h ph j l l jl jll g b gb |
| building | Verbundindex |
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| dewey-full | 532/.0527/0151535 532.05270151535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
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| dewey-search | 532/.0527/0151535 532.05270151535 |
| dewey-sort | 3532 3527 6151535 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T18:03:04Z |
| institution | BVB |
| isbn | 0521551420 |
| language | English |
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| physical | XVIII, 420 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mechanics |
| spelling | Holmes, Philip Verfasser aut Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz 1. publ. Cambridge Cambridge Univ. Press 1996 XVIII, 420 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mechanics Literaturverzeichnis Seite 401 - 416 Differentieerbaarheid gtt Dynamische systemen gtt Turbulentie gtt Differentiable dynamical systems Turbulence Kohärenz (DE-588)4139923-7 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Differenzierbares dynamisches System (DE-588)4137931-7 s DE-604 Kohärenz (DE-588)4139923-7 s Dynamisches System (DE-588)4013396-5 s Symmetrie (DE-588)4058724-1 s Mathematische Methode (DE-588)4155620-3 s Lumley, John L. 1930-2015 Verfasser (DE-588)12273985X aut Berkooz, Gal Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007394985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Holmes, Philip Lumley, John L. 1930-2015 Berkooz, Gal Turbulence, coherent structures, dynamical systems and symmetry Differentieerbaarheid gtt Dynamische systemen gtt Turbulentie gtt Differentiable dynamical systems Turbulence Kohärenz (DE-588)4139923-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd Symmetrie (DE-588)4058724-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4139923-7 (DE-588)4117265-6 (DE-588)4058724-1 (DE-588)4013396-5 (DE-588)4137931-7 (DE-588)4155620-3 |
| title | Turbulence, coherent structures, dynamical systems and symmetry |
| title_auth | Turbulence, coherent structures, dynamical systems and symmetry |
| title_exact_search | Turbulence, coherent structures, dynamical systems and symmetry |
| title_full | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz |
| title_fullStr | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz |
| title_full_unstemmed | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz |
| title_short | Turbulence, coherent structures, dynamical systems and symmetry |
| title_sort | turbulence coherent structures dynamical systems and symmetry |
| topic | Differentieerbaarheid gtt Dynamische systemen gtt Turbulentie gtt Differentiable dynamical systems Turbulence Kohärenz (DE-588)4139923-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd Symmetrie (DE-588)4058724-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Differentieerbaarheid Dynamische systemen Turbulentie Differentiable dynamical systems Turbulence Kohärenz Turbulente Strömung Symmetrie Dynamisches System Differenzierbares dynamisches System Mathematische Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007394985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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