Fundamentals of ocean climate models:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton University Press
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXXIV, 518 S. |
| ISBN: | 0691118922 |
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| adam_text | FUNDAMENTALS OF OCEAN CLIMATE MODELS STEPHEN M. GRIFFIES PRINCETON
UNIVERSITY PRESS PRINCETON AND OXFORD CONTENTS FOREWORD XIII PREFACE XV
ACKNOWLEDGMENTS XXV ABOUT THE COVER XXVII LIST OF SYMBOLS XXIX CHAPTER
1. OCEAN CLIMATE MODELS 1 1.1 OCEAN MODELS AS TOOLS FOR OCEAN SCIENCE 1
1.2 OCEAN CLIMATE MODELS 2 1.3 CHALLENGES OF CLIMATE CHANGE 3 PART1.
FUNDAMENTAL OCEAN EQUATIONS 5 CHAPTER 2. BASICS OF OCEAN FLUID MECHANICS
7 2.1 SOME FUNDAMENTAL OCEAN PROCESSES 7 2.2 THE CONTINUUM HYPOTHESIS 9
2.3 KINEMATICS OF FLUID MOTION 10 2.4 KINEMATICAL AND DYNAMICAL
APPROXIMATIONS 16 2.5 AVERAGING OVER SCALES AND REALIZATIONS 20 2.6
NUMERICAL DISCRETIZATION 21 2.7 CHAPTER SUMMARY 22 CHAPTER 3. KINEMATICS
24 3.1 INTRODUCTION 24 3.2 MATHEMATICAL PRELIMINARIES 24 3.3 THE
DIVERGENCE THEOREM AND BUDGET ANALYSES 29 3.4 VOLUME AND MASS CONSERVING
KINEMATICS 31 3.5 CHAPTER SUMMARY 40 CHAPTER 4. DYNAMICS 42 4.1
INTRODUCTION 42 4.2 MOTION ON A ROTATING SPHERE 43 4.3 PRINCIPLES OF
CONTINUUM DYNAMICS 47 4.4 DYNAMICS OF FLUID PARCELS 51 4.5 HYDROSTATIC
PRESSURE 56 VIII CONTENTS 4.6 DYNAMICS OF HYDROSTATIC FLUID COLUMNS 58
4.7 FLUID MOTION IN A RAPIDLY ROTATING SYSTEM , 62 4.8 VERTICAL
STRATIFICATION 68 4.9 VORTICITY AND POTENTIAL VORTICITY 70 4.10 PARTICLE
DYNAMICS ON A ROTATING SPHERE 75 4.11 SYMMETRY AND CONSERVATION LAWS 80
4.12 CHAPTER SUMMARY 83 CHAPTER 5. THERMO-HYDRODYNAMICS 87 5.1 GENERAL
TYPES OF OCEAN TRACERS 87 5.2 BASIC EQUILIBRIUM THERMODYNAMICS 91 5.3
ENERGY OF A FLUID PARCEL 95 5.4 GLOBAL MECHANICAL ENERGY BALANCE 105 5.5
BASIC NON-EQUILIBRIUM THERMODYNAMICS 110 5.6 THERMODYNAMICAL TRACERS 111
5.7 OCEAN DENSITY 114 5.8 CHAPTER SUMMARY 118 CHAPTER 6. GENERALIZED
VERTICAL COORDINATES 121 6.1 INTRODUCTION 121 6.2 CONCERNING THE CHOICE
OF VERTICAL COORDINATE 122 6.3 GENERALIZED SURFACES 128 6.4 LOCAL
ORTHONORMAL COORDINATES 130 6.5 MATHEMATICS OF GENERALIZED VERTICAL
COORDINATES 131 6.6 METRIC TENSORS 136 6.7 THE DIA-SURFACE VELOCITY
COMPONENT 138 6.8 CONSERVATION OF MASS AND VOLUME FOR PARCELS 141 6.9
KINEMATIC BOUNDARY CONDITIONS 143 6.10 PRIMITIVE EQUATIONS 145 6.11
TRANSFORMATION OF SGS TRACER FLUX COMPONENTS 147 6.12 CHAPTER SUMMARY
149 PART 2. AVERAGED DESCRIPTIONS 153 CHAPTER 7. CONCERNING UNRESOLVED
PHYSICS 155 7.1 REPRESENTED DYNAMICS AND PARAMETERIZED PHYSICS 155 7.2
LATERAL (NEUTRAL) AND VERTICAL PROCESSES 157 7.3 BASIC MECHANISMS FOR
DIANEUTRAL TRANSPORT 159 7.4 DIANEUTRAL TRANSPORT IN MODELS 161 7.5
NUMERICALLY INDUCED SPURIOUS DIANEUTRAL TRANSPORT 166 7.6 CHAPTER
SUMMARY 167 CHAPTER 8. EULERIAN AVERAGED EQUATIONS 169 8.1 INTRODUCTION
169 8.2 THE NONHYDROSTATIC SHALLOW OCEAN EQUATIONS 171 8.3 AVERAGED
KINEMATICS 173 8.4 AVERAGED KINEMATICS OVER FINITE DOMAINS 174 8.5
AVERAGED TRACER 179 8.6 AVERAGED MOMENTUM BUDGET 182 8.7 SUMMARY OF THE
EULERIAN AVERAGED EQUATIONS 183 CONTENTS IX 8.8 MAPPING TO OCEAN MODEL
VARIABLES 1 85 8.9 CHAPTER SUMMARY 1 87 CHAPTER 9. KINEMATICS OF AN
ISENTROPIC ENSEMBLE 189 9.1 PARAMETERIZING MESOSCALE EDDIES 189 9.2
ADVECTION AND SKEWSION 191 9.3 VOLUME CONSERVATION 1 94 9.4 ENSEMBLE
MEAN TRACER EQUATION 203 9.5 QUASI-STOKES TRANSPORT IN Z-MODELS 206 9.6
CHAPTER SUMMARY 212 PART 3. SEMI-DISCRETE EQUATIONS AND ALGORITHMS 215
CHAPTER 10. DISCRETIZATION BASICS 217 10.1 DISCRETIZATION METHODS 217
10.2 AN INTRODUCTION TO ARAKAWA GRIDS 218 10.3 TIME STEPPING 219 10.4
CHAPTER SUMMARY 221 CHAPTER 11. MASS AND TRACER BUDGETS 222 11.1 SUMMARY
OF THE CONTINUOUS MODEL EQUATIONS 222 11.2 TRACER AND MASS/VOLUME
COMPATIBILITY 223 11.3 MASS BUDGET FOR A GRID CELL 223 11.4 MASS BUDGET
FOR A DISCRETE FLUID COLUMN 227 11.5 TRACER BUDGET FOR A GRID CELL 228
11.6 FLUXES FOR TURBULENCE MIXED LAYER SCHEMES 232 11.7 FLUX PLUS
RESTORE BOUNDARY CONDITIONS I 233 11.8 Z-LIKE VERTICAL COORDINATE MODELS
234 11.9 CHAPTER SUMMARY 235 CHAPTER 12. ALGORITHMS FOR HYDROSTATIC
OCEAN MODELS 237 12.1 SUMMARY OF THE CONTINUOUS MODEL EQUATIONS 237 12.2
BUDGET OF LINEAR MOMENTUM FOR A GRID CELL 238 12.3 STRATEGIES FOR TIME
STEPPING MOMENTUM 244 12.4 A LEAP-FROG ALGORITHM 248 12.5 DISCRETIZATION
OF TIME TENDENCIES 25 1 12.6 A TIME STAGGERED ALGORITHM 258 12.7
BAROTROPIC UPDATES WITH A PREDICTOR-CORRECTOR 262 12.8 STABILITY
CONSIDERATIONS 265 12.9 SMOOTHING THE SURFACE HEIGHT IN B-GRID MODELS
277 12.10 RIGID LID STREAMFUNCTION METHOD 278 12.11 CHAPTER SUMMARY ,
280 PART 4. NEUTRAL PHYSICS 281 CHAPTER 13. BASICS OF NEUTRAL PHYSICS
283 13.1 CONCERNING THE UTILITY OF NEUTRAL PHYSICS 283 13.2 NOTATION AND
SUMMARY OF SCALAR BUDGETS 286 13.3 COMPATIBILITY IN THE MEAN FIELD
BUDGETS 287 X CONTENTS 13.4 THE SGS TRACER TRANSPORT TENSOR 288 13.5
ADVECTION AND SKEWSION 290 13.6 NEUTRAL TRACER FLUXES 291 13.7 CHAPTER
SUMMARY AND A CAVEAT ON THE CONJECTURE 294 CHAPTER 14. NEUTRAL TRANSPORT
OPERATORS 296 14.1 NEUTRAL DIFFUSION 296 14.2 GENT-MCWILLIAMS STIRRING
304 14.3 SUMMARIZING THE NEUTRAL PHYSICS FLUXES 308 14.4 FLOW-DEPENDENT
DIFFUSIVITIES 30 9 14.5 BIHARMONIC OPERATORS 317 14.6 CHAPTER SUMMARY
AND SOME CHALLENGES 326 CHAPTER 15. NEUTRAL PHYSICS NEAR THE SURFACE
BOUNDARY 328 15.1 LINEAR STABILITY FOR NEUTRAL DIFFUSION 328 15.2 LINEAR
STABILITY FOR GM STIRRING 332 15.3 NEUTRAL PHYSICS NEAR BOUNDARIES 333
15.4 CHAPTER SUMMARY AND CAVEATS 343 CHAPTER 16. FUNCTIONAL
DISCRETIZATION OF NEUTRAL PHYSICS 345 16.1 FOUNDATIONS FOR DISCRETE
NEUTRAL PHYSICS 345 16.2 INTRODUCTION TO THE DISCRETIZATION 350 16.3 A
ONE-DIMENSIONAL WARM-UP 352 16.4 ELEMENTS OF THE DISCRETE DISSIPATION
FUNCTIONAL 354 16.5 TRIAD STENCILS AND SOME MORE NOTATION 361 16.6 THE
DISCRETE DIFFUSION OPERATOR 363 16.7 DIFFUSIVE FLUX COMPONENTS 367 16.8
FURTHER ISSUES OF NUMERICAL IMPLEMENTATION 371 16.9 CHAPTER SUMMARY 374
PART 5. HORIZONTAL FRICTION 377 CHAPTER 17. HORIZONTAL FRICTION IN
MODELS 379 17.1 BOUSSINESQ AND NON-BOUSSINESQ FRICTION 379 17.2
INTRODUCTION AND GENERAL FRAMEWORK 37 9 17.3 PROPERTIES OF THE STRESS
TENSOR 380 17.4 PROPERTIES OF THE VISCOSITY TENSOR 387 17.5 TRANSVERSE
ISOTROPY 389 17.6 TRANSVERSE ANISOTROPY 393 17.7 GENERALIZED ORTHOGONAL
COORDINATES 396 17.8 DISSIPATION FUNCTIONAL 398 17.9 BIHARMONIC FRICTION
402 17.10 SOME MATHEMATICAL DETAILS 404 17.11 CHAPTER SUMMARY 407
CHAPTER 18. CHOOSING THE HORIZONTAL VISCOSITY 409 18.1 STABILITY AND
RESOLUTION CONSIDERATIONS 409 18.2 COMPARING LAPLACIAN AND BIHARMONIC
MIXING 415 18.3 SMAGORINSKY VISCOSITY 416 18.4 BACKGROUND VISCOSITY 420
CONTENTS XI 18.5 VISCOSITIES FOR ANISOTROPIC FRICTION 421 18.6 CHAPTER
SUMMARY 422 CHAPTER 19. FUNCTIONAL DISCRETIZATION OF FRICTION 424 19.1
COMMENTS ON NOTATION 424 19.2 SUMMARY OF THE VARIOUS FORMULATIONS 425
19.3 HORIZONTAL FRICTION DISCRETIZATION 426 19.4 LAPLACIAN PLUS METRIC
FORM OF ISOTROPIC FRICTION 436 19.5 CHAPTER SUMMARY 439 PART 6. TENSOR
ANALYSIS 441 CHAPTER 20. ELEMENTARY TENSOR ANALYSIS 443 20.1
INTRODUCTION 443 20.2 SOME PRACTICAL MOTIVATION 444 20.3 COORDINATES AND
VECTORS 446 20.4 THE METRIC AND COORDINATE TRANSFORMATIONS 448 20.5
TRANSFORMATIONS OF A VECTOR 451 20.6 ONE-FORMS 452 20.7 MAPPING BETWEEN
VECTORS AND ONE-FORMS 454 20.8 TRANSFORMATION OF A ONE-FORM 3 454 20.9
ARBITRARY TENSORS AND THEIR TRANSFORMATIONS 455 20.10 TENSORIAL
PROPERTIES OF THE GRADIENT OPERATOR 456 20.11 THE INVARIANT VOLUME
ELEMENT 457 20.12 DETERMINANTS AND THE LEVI-CIVITA SYMBOL 459 20.13
SURFACES EMBEDDED IN EUCLIDEAN SPACE 461 20.14 CHAPTER SUMMARY 464
CHAPTER 21. CALCULUS ON CURVED MANIFOLDS 466 21.1 FUNDAMENTAL CHARACTER
OF TENSOR EQUATIONS 466 21.2 COVARIANT DIFFERENTIATION 468 21.3
COVARIANT DERIVATIVE OF A SECOND ORDER TENSOR 470 21.4 CHRISTOFFEL
SYMBOLS IN TERMS OF THE METRIC 471 21.5 COVARIANT DIVERGENCE OF A VECTOR
471 21.6 COVARIANT DIVERGENCE OF A SECOND ORDER TENSOR 472 21.7
COVARIANT LAPLACIAN OF A SCALAR 473 21.8 COVARIANT CURL OF A VECTOR 473
21.9 COVARIANT LAPLACIAN OF A VECTOR 473 21.10 INTEGRAL THEOREMS 474
21.11 ORTHOGONAL CURVILINEAR COORDINATES 474 21.12 SUMMARY OF
CURVILINEAR TENSOR ANALYSIS 481 PART 7. EPILOGUE 487 CHAPTER 22. SOME
CLOSING COMMENTS AND CHALLENGES 489 BIBLIOGRAPHY 493 INDEX 511
|
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| author_variant | s m g sm smg |
| building | Verbundindex |
| bvnumber | BV019424705 |
| callnumber-first | G - Geography, Anthropology, Recreation |
| callnumber-label | GC228 |
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| callnumber-subject | GC - Oceanography |
| classification_rvk | RB 10414 |
| classification_tum | DAT 780f GEO 600f GEO 760f GEO 570f |
| ctrlnum | (OCoLC)54487392 (DE-599)BVBBV019424705 |
| dewey-full | 551.46/2/015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.46/2/015118 |
| dewey-search | 551.46/2/015118 |
| dewey-sort | 3551.46 12 515118 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geowissenschaften Geologie / Paläontologie Physik Informatik Geographie |
| format | Book |
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| id | DE-604.BV019424705 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:00:01Z |
| institution | BVB |
| isbn | 0691118922 |
| language | English |
| lccn | 2004043409 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012886281 |
| oclc_num | 54487392 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29 |
| owner_facet | DE-91G DE-BY-TUM DE-29 |
| physical | XXXIV, 518 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Princeton University Press |
| record_format | marc |
| spelling | Griffies, Stephen M. Verfasser aut Fundamentals of ocean climate models Stephen M. Griffies Princeton [u.a.] Princeton University Press 2004 XXXIV, 518 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Circulation océanique - Modèles mathématiques Circulation océanique - Simulation par ordinateur Météorologie physique - Modèles mathématiques Météorologie physique - Simulation par ordinateur Mathematisches Modell Atmospheric physics Computer simulation Atmospheric physics Mathematical models Ocean circulation Computer simulation Ocean circulation Mathematical models Meer (DE-588)4038301-5 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Zirkulation (DE-588)4332814-3 gnd rswk-swf Allgemeine atmosphärische Zirkulation (DE-588)4202863-2 gnd rswk-swf Meer (DE-588)4038301-5 s Zirkulation (DE-588)4332814-3 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Computersimulation (DE-588)4148259-1 s Allgemeine atmosphärische Zirkulation (DE-588)4202863-2 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012886281&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Griffies, Stephen M. Fundamentals of ocean climate models Circulation océanique - Modèles mathématiques Circulation océanique - Simulation par ordinateur Météorologie physique - Modèles mathématiques Météorologie physique - Simulation par ordinateur Mathematisches Modell Atmospheric physics Computer simulation Atmospheric physics Mathematical models Ocean circulation Computer simulation Ocean circulation Mathematical models Meer (DE-588)4038301-5 gnd Computersimulation (DE-588)4148259-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Zirkulation (DE-588)4332814-3 gnd Allgemeine atmosphärische Zirkulation (DE-588)4202863-2 gnd |
| subject_GND | (DE-588)4038301-5 (DE-588)4148259-1 (DE-588)4114528-8 (DE-588)4332814-3 (DE-588)4202863-2 |
| title | Fundamentals of ocean climate models |
| title_auth | Fundamentals of ocean climate models |
| title_exact_search | Fundamentals of ocean climate models |
| title_full | Fundamentals of ocean climate models Stephen M. Griffies |
| title_fullStr | Fundamentals of ocean climate models Stephen M. Griffies |
| title_full_unstemmed | Fundamentals of ocean climate models Stephen M. Griffies |
| title_short | Fundamentals of ocean climate models |
| title_sort | fundamentals of ocean climate models |
| topic | Circulation océanique - Modèles mathématiques Circulation océanique - Simulation par ordinateur Météorologie physique - Modèles mathématiques Météorologie physique - Simulation par ordinateur Mathematisches Modell Atmospheric physics Computer simulation Atmospheric physics Mathematical models Ocean circulation Computer simulation Ocean circulation Mathematical models Meer (DE-588)4038301-5 gnd Computersimulation (DE-588)4148259-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Zirkulation (DE-588)4332814-3 gnd Allgemeine atmosphärische Zirkulation (DE-588)4202863-2 gnd |
| topic_facet | Circulation océanique - Modèles mathématiques Circulation océanique - Simulation par ordinateur Météorologie physique - Modèles mathématiques Météorologie physique - Simulation par ordinateur Mathematisches Modell Atmospheric physics Computer simulation Atmospheric physics Mathematical models Ocean circulation Computer simulation Ocean circulation Mathematical models Meer Computersimulation Zirkulation Allgemeine atmosphärische Zirkulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012886281&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT griffiesstephenm fundamentalsofoceanclimatemodels |