Ocean dynamics:
Gespeichert in:
| Hauptverfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2012
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| Online-Zugang: | Inhaltstext Inhaltsverzeichnis Klappentext |
| Beschreibung: | XXIII, 704 S. Ill., graph. Darst., Kt. 235 mm x 155 mm |
| ISBN: | 3642234496 9783642234491 9783662506059 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
LIST OF SYMBOLS XXI
PART I FUNDAMENTAL LAWS
1 PRELIMINARIES 3
1.1 FLOW KINEMATICS 3
1.1.1 LAGRANGIAN AND EULERIAN REPRESENTATION 3
1.1.2 DEFORMATION AND ROTATION 6
1.2 THERMODYNAMICS OF SEA WATER 10
1.2.1 SALT CONCENTRATION AND SALINITY 11
1.2.2 ADDITIVE STATE VARIABLES 12
1.2.3 FIRST LAW OF THERMODYNAMICS 14
1.2.4 SECOND LAW OF THERMODYNAMICS 16
1.2.5 THERMODYNAMIC POTENTIALS 17
1.2.6 EQUATION OF STATE 21
1.2.7 SPECIFIC HEAT 23
2 CONSERVATION LAWS FOR MOVING FLUIDS 25
2.1 GENERAL FORM OF CONSERVATION EQUATIONS 25
2.2 MASS CONSERVATION 28
2.2.1 TOTAL MASS AND SALT CONSERVATION EQUATION 29
2.2.2 BOUNDARY CONDITIONS FOR THE FLUXES OF TOTAL MASS AND SALT . 30
2.3 CONSERVATION OF MOMENTUM 31
2.3.1 STRESSES, PRESSURE AND FRICTIONAL FORCES 32
2.3.2 BOUNDARY CONDITION FOR THE MOMENTUM FLUX 38
2.3.3 CONSERVATION EQUATIONS ON THE ROTATING EARTH 39
2.3.4 THE FORCE OF GRAVITY ON THE EARTH 4 2
XI
HTTP://D-NB.INFO/1013760239
IMAGE 2
CONTENTS
2.4 ENERGY CONSERVATION
2.4.1 CONTRIBUTIONS TO THE CHANGE O F ENERGY IN A MATERIAL VOLUME 2.4.2
MECHANICAL ENERGY 2.4.3 INTERNAL ENERGY AND ENTHALPY 2.4.4 TOTAL ENERGY
AND TOTAL ENTHALPY 2.4.5 BOUNDARY CONDITION FOR THE ENTHALPY FLUX
2.5 ENTROPY BUDGET
2.5.1 ENTROPY SOURCES AND FLUX-GRADIENT RELATIONS 2.5.2 ONSAGER
RELATIONS
2.6 TEMPERATURE EQUATIONS 2.6.1 IN-SITU TEMPERATURE 2.6.2 CONSERVATIVE
TEMPERATURE 2.6.3 POTENTIAL TEMPERATURE 2.6.4 CONSERVATIVE TEMPERATURE
AS A STATE VARIABLE
2.7 DENSITY VARIABLES
2.7.1 POTENTIAL DENSITY 2.7.2 NEUTRAL SURFACE ELEMENTS
2.8 MOLECULAR AND TURBULENT TRANSPORTS 2.8.1 MAGNITUDE OF MOLECULAR
TRANSPORTS 2.8.2 REYNOLDS AND HESSELBERG AVERAGING
2.9 THE STATE OF REST
2.9.1 HYDROSTATIC BALANCE 2.9.2 STATIC STABILITY
2.10 * SOME DIFFERENCES TO ATMOSPHERIC THERMODYNAMICS 2.10.1 DIFFERENCES
IN THERMODYNAMICS 2.10.2 DIFFERENCES IN CONSERVATION LAWS
2.11 VORTICITY
2.11.1 KINEMATICAL PROPERTIES 2.11.2 DYNAMICAL PROPERTIES 2.11.3 ERTEL'S
POTENTIAL VORTICITY
2.12 * LAGRANGIAN CONCEPTS IN FLUID MECHANICS 2.12.1 INCOMPRESSIBLE
FLUID 2.12.2 COMPRESSIBLE ISENTROPIC FLUID 2.12.3 ROTATING FLUID WITH
GRAVITY
2.12.4 ROTATING STRATIFIED FLUID 2.12.5 A VARIATIONAL PRINCIPLE FOR
EULERIAN COORDINATES
PART II COMMON APPROXIMATIONS
47
48
4 9
5 0
51 53
54
54
56
57 58
58
61 63
65 65
66
68 68 70
72
73
75
7 6
77 80
83 85 87 92
9 4
97
99 100 100 1 0 1
3
3.1
3.2
APPROXIMATIONS DERIVED FROM MODE FILTERING
A PROGNOSTIC EQUATION FOR THE PRESSURE
LINEAR WAVES
107
107
108
IMAGE 3
CONTENTS
3.3 FILTERING OF MODES 112
4 APPROXIMATIONS RELATING TO DENSITY CHANGES AND GEOMETRIC CONDITIONS
115
4.1 APPROXIMATIONS INVOLVING DENSITY 115
4.1.1 ANELASTIC APPROXIMATION 116
4.1.2 BOUSSINESQ APPROXIMATION 118
4.1.3 DYNAMICAL ROLE OF SEA WATER COMPRESSIBILITY 119
4.1.4 ENERGETICS IN THE BOUSSINESQ APPROXIMATION 120
4.1.5 POTENTIAL VORTICITY IN THE BOUSSINESQ APPROXIMATION 121
4.1.6 FULL INCOMPRESSIBILITY AND COMBINATION OF SALT AND HEAT BUDGETS
122
4.2 SHALLOW WATER APPROXIMATION 123
4.2.1 OBLATE SPHEROIDAL COORDINATES 123
4.2.2 SPHERICAL APPROXIMATION 126
4.2.3 THIN-SHELL APPROXIMATION 128
4.2.4 SMALL ASPECT RATIO 129
4.2.5 PRIMITIVE EQUATIONS 132
4.2.6 ENERGETICS AND POTENTIAL VORTICITY IN THE SHALLOW WATER
APPROXIMATION 132
5 GEOSTROPHIC AND QUASI-GEOSTROPHIC MOTIONS 135
5.1 GEOSTROPHIC SCALING 135
5.2 QUASI-GEOSTROPHIC APPROXIMATION 138
5.2.1 EXPANSION FOR SMALL PARAMETERS 140
5.2.2 QUASI-GEOSTROPHIC VORTICITY EQUATION 143
5.2.3 QUASI-GEOSTROPHIC POTENTIAL VORTICITY 144
5.2.4 BOUNDARY CONDITIONS 145
5.2.5 ENERGETICS O F QUASI-GEOSTROPHIC MOTIONS 146
5.2.6 AVAILABLE POTENTIAL ENERGY 147
5.3 PLANETARY-SCALE GEOSTROPHIC MOTIONS 150
5.3.1 THE M-REPRESENTATION 152
5.3.2 THERMAL WIND-EQUATIONS 152
5.3.3 PLANETARY IDEAL FLUID EQUATIONS 153
PART III OCEAN WAVES
6 SOUND WAVES 159
6.1 APPROXIMATIONS AND PERTURBATION EXPANSION 159
6.2 PLANE WAVES 161
6.2.1 GROUP VELOCITY I: INTERFERENCE OF WAVES 163
6.2.2 ENERGY CONSERVATION I: KINETIC AND ELASTIC ENERGY 165
6.2.3 SOUND WAVES IN A MEAN CURRENT 166
IMAGE 4
CONTENTS
6.3 PROPAGATION IN A VARIABLE ENVIRONMENT: WKBJ APPROXIMATION 166
6.3.1 GENERAL WAVE KINEMATICS 168
6.3.2 GROUP VELOCITY II: RAYS AND WAVE PACKAGES 169
6.3.3 ENERGY CONSERVATION II: ENERGY FLUX AND GROUP VELOCITY . . 171
6.3.4 PATHWAYS OF SOUND WAVE PROPAGATION IN THE OCEAN 173
7 GRAVITY WAVES 177
7.1 GOVERNING EQUATIONS 177
7.2 PLANE GRAVITY WAVES 179
7.2.1 PROPAGATION CHARACTERISTICS 179
7.2.2 ENERGY CONSERVATION 182
7.3 PROPAGATION IN VARIABLE STRATIFICATION 184
7.3.1 WKBJ APPROXIMATION FOR INTERNAL WAVES 185
7.3.2 TURNING POINTS 186
7.4 THE INFLUENCE OF BOUNDARIES 187
7.4.1 REFLECTION AT A PLANE INTERFACE 187
7.4.2 REFLECTION AT A SLOPING BOTTOM 188
7.4.3 VERTICAL MODES 190
7.4.4 ACCURACY O F THE RIGID-LID CONDITION 193
7.5 SURFACE WAVES 194
7.6 GROUP VELOCITY III: INITIAL VALUE PROBLEMS AND STATIONARY PHASE
METHOD 196
7.7 INFLUENCE OF A MEAN FLOW 199
7.7.1 CRITICAL LAYER ABSORPTION 200
7.7.2 PROPAGATION IN A GEOSTROPHIC CURRENT 201
7.7.3 STABILITY OF SHEAR FLOWS 203
8 LONG WAVES 209
8.1 LONG GRAVITY WAVES 210
8.1.1 BAROTROPIC AND BAROCLINIC MODES 211
8.1.2 DISPERSION RELATION AND GROUP VELOCITY 214
8.1.3 GEOSTROPHIC ADJUSTMENT 215
8.1.4 INFLUENCE OF HORIZONTAL BOUNDARIES 219
8.1.5 KELVIN WAVES 221
8.1.6 HYDRAULIC CONTROL: WAVE PROPAGATION AND NONLINEARITY . . . . 221
8.2 PLANETARY WAVES IN MIDLATITUDES 224
8.2.1 PROPAGATION CHARACTERISTICS 225
8.2.2 ENERGY O F PLANETARY WAVES 226
8.2.3 REFLECTION AT MERIDIONAL BOUNDARIES 228
8.2.4 TOPOGRAPHIC-PLANETARY WAVES 229
8.2.5 STATIONARY ROSSBY WAVES IN A BAROCLINIC FLOW OVER A RIDGE 237
8.2.6 SPIN-UP OF THE WIND-DRIVEN BASIN CIRCULATION 243
8.3 EQUATORIAL WAVES 248
IMAGE 5
CONTENTS
8.3.1 REFRACTION DUE TO VARIATIONS OF THE CORIOLIS PARAMETER 248
8.3.2 EQUATION FOR THE MERIDIONAL VELOCITY 250
8.3.3 MERIDIONAL EIGENFUNCTIONS 251
8.3.4 WAVE SOLUTIONS 254
8.3.5 EQUATORIAL KELVIN WAVES 256
8.3.6 YANAI WAVES 257
8.3.7 EQUATORIAL ROSSBY AND GRAVITY WAVES 258
8.3.8 REFLECTION AT MERIDIONAL BOUNDARIES 261
8.4 THE OCEANIC WAVEGUIDE 263
8.5 INFLUENCE O F A MEAN FLOW ON PLANETARY WAVES 265
8.5.1 MODIFICATION O F THE DOPPLER SHIFT 266
8.5.2 ENERGY TRANSFER BETWEEN WAVES AND MEAN FLOW 268
8.5.3 CONDITIONS FOR INSTABILITY 270
8.5.4 ENERGETICS O F PARCEL EXCHANGES 280
9 * LAGRANGIAN THEORY O F OCEAN WAVES 285
9.1 SOUND WAVES AS EXAMPLE 285
9.2 ADIABATIC INVARIANTS 286
9.3 VARIATIONAL APPROACH TO WAVE TRAINS 288
9.4 A RIGOROUS DERIVATION 289
9.5 ROSSBY WAVES AND INTERNAL GRAVITY WAVES AS EXAMPLES 292
9.6 WAVE-WAVE INTERACTIONS 296
9.6.1 RESONANT WAVE TRIADS 299
9.6.2 INTERACTION THEORY FOR RANDOM WAVE FIELDS 300
10 FORCED WAVES 305
10.1 THE FORCING FUNCTIONS O F LONG WAVES 306
10.2 FORCED MIDLATITUDE WAVES 307
10.3 FORCED EQUATORIAL WAVES 313
10.4 * ENERGETICS OF A RANDOM GRAVITY WAVE FIELD 315
10.4.1 GENERATION PROCESSES 319
10.4.2 DISSIPATION MECHANISMS 322
10.4.3 SOME PROTOTYPE BALANCES 323
10.4.4 RESONANT TRANSFER 324
10.4.5 THE LINK TO MIXING 327
PART IV OCEANIC TURBULENCE AND EDDIES
11 SMALL-SCALE TURBULENCE 335
11.1 KOLMOGOROV'S THEORY O F HOMOGENEOUS TURBULENCE 335
11.1.1 ISOTROPY 336
IMAGE 6
CONTENTS
11.1.2 MOMENTUM AND KINETIC ENERGY IN HOMOGENEOUS TURBULENCE 338
11.1.3 LARGE AND SMALL LENGTH SCALES 341
11.1.4 EQUILIBRIUM RANGE AND INERTIAL SUBRANGE 344
11.2 TURBULENT MIXING 346
11.2.1 HEURISTIC APPROACHES 347
11.2.2 TURBULENT DIFFUSION IN THE LAGRANGIAN REFERENCE SYSTEM . . . 350
11.2.3 EULERIAN DIFFUSION BY SMALL-SCALE TURBULENCE 350
11.3 INHOMOGENEOUS THREE-DIMENSIONAL TURBULENCE 352
11.3.1 ENERGETIC CONSTRAINTS 353
11.3.2 TURBULENCE MODELS FOR THE SURFACE BOUNDARY LAYER 355
11.3.3 TURBULENCE IN THE OCEAN INTERIOR 363
12 GEOSTROPHIC L\IRBULENCE 367
12.1 HOMOGENEOUS TURBULENCE IN TWO DIMENSIONS 368
12.1.1 INVERSE ENERGY CASCADE 369
12.1.2 A NUMERICAL EXAMPLE O F TWO-DIMENSIONAL TURBULENCE . . . . 370
12.1.3 EQUILIBRIUM RANGE 373
12.2 MESOSCALE EDDIES AND THEIR IMPACT ON THE MEAN FLOW 375
12.2.1 ENERGETICS OF MESOSCALE EDDIES AND THE LORENZ CYCLE 375 12.2.2
ISOPYCNAL MIXING TENSOR 383
12.2.3 TRANSFORMED EULERIAN MEAN 385
12.2.4 GENT AND MCWILLIAMS PARAMETERIZATION AND THE BOLUS VELOCITY 387
12.2.5 ISOPYCNAL MIXING AND TRANSFORMED EULERIAN MEAN 388
12.2.6 * MESOSCALE EDDY EFFECTS IN THE MOMENTUM EQUATION 391
12.3 * ALTERNATIVE AVERAGING FRAMEWORKS 396
12.3.1 TEMPORAL RESIDUAL MEAN 399
12.3.2 ROTATIONAL EDDY FLUXES 404
12.3.3 GENERALIZED OSBORN-COX RELATION 410
12.3.4 GENERALIZED LAGRANGIAN MEAN 413
12.3.5 SEMI-LAGRANGIAN (ISOPYCNAL) MEAN 415
12.3.6 RELATING LAGRANGIAN, EULERIAN, AND SEMI-LAGRANGIAN MEAN 423
PART V ASPECTS OF OCEAN CIRCULATION THEORY
13 FORCING OF THE OCEAN 429
13.1 BULK FORMULAE AS BOUNDARY CONDITIONS 431
13.2 SIMPLIFIED BOUNDARY CONDITIONS 439
14 THE WIND-DRIVEN CIRCULATION 441
14.1 THE FLAT-BOTTOM WIND-DRIVEN CIRCULATION 443
14.1.1 THE ELEMENTARY CURRENT SYSTEM 444
IMAGE 7
CONTENTS
14.1.2 EKMAN SPIRAL 446
14.1.3 EKMAN TRANSPORT 448
14.1.4 EKMAN PUMPING 449
14.1.5 EQUILIBRIUM WIND-DRIVEN MODEL REGIMES 451
14.1.6 THE WESTERN BOUNDARY CURRENT 456
14.2 THE ROLE O F STRATIFICATION AND TOPOGRAPHY 459
14.2.1 THE JEBAR TERM 460
14.2.2 THE / / H CONTOURS 461
14.2.3 SVERDRUP'S CATASTROPHE 462
14.2.4 THE BOTTOM PRESSURE TORQUE 464
14.2.5 A REALISTIC APPLICATION O F THE BARBI MODEL 466
14.2.6 THE BAROCLINIC STOMMEL EQUATION 468
14.3 MAIN THERMOCLINE DYNAMICS 472
14.3.1 SCALING CONSIDERATIONS 473
14.3.2 SIMILARITY SOLUTIONS 474
14.3.3 IDEAL FLUID SOLUTIONS 475
14.3.4 THERMOCLINE VENTILATION IN AN ISOPYCNAL LAYER MODEL 476 14.3.5
CIRCULATION IN UNVENTILATED REGIONS 481
15 THE MERIDIONAL OVERTURNING O F THE OCEANS 483
15.1 BASIC INGREDIENTS OF THE MERIDIONAL OVERTURNING 487
15.1.1 WATER MASSES OF THE OCEAN 487
15.1.2 THE THERMOHALINE SURFACE FORCING 488
15.1.3 THE ASYMMETRY OF THE MERIDIONAL OVERTURNING 490
15.1.4 THE FORMATION OF WATER MASSES 491
15.2 THE STOMMEL-ARONS OVERTURNING MODEL 494
15.3 SANDSTROM'S INFERENCE 499
15.3.1 CONSEQUENCES FROM BJERKNES'THEOREM 500
15.3.2 THERMODYNAMICS O F THE MERIDIONAL OVERTURNING 501
15.3.3 ENERGETICS OF THE MERIDIONAL OVERTURNING 502
15.4 SCALING LAWS FOR THE MERIDIONAL OVERTURNING 504
15.4.1 CONVENTIONAL SCALING ATTEMPTS 505
15.4.2 A FRICTIONAL MODEL OF THE MERIDIONAL OVERTURNING 507
15.5 BOX MODELS O F THE MERIDIONAL OVERTURNING 510
15.5.1 MOTIVATION AND CONSTRUCTION OF BOX MODELS 511
15.5.2 STOMMEL'S BOX MODEL 512
15.5.3 WELANDER'S BOX MODEL 521
15.5.4 AN INCONSISTENCY OF THE BOX MODELS 525
15.5.5 A BOX MODEL WITH FORCING INDUCED BY WIND AND EDDIES . . . 530
15.6 ZONALLY AVERAGED MODELS OF THE MERIDIONAL OVERTURNING 532
15.6.1 THE ZONALLY AVERAGED SYSTEM OF EQUATIONS 533
15.6.2 THE DOWNGRADIENT CLOSURES 534
15.6.3 A VORTICITY-BASED CLOSURE 537
15.6.4 A ZONALLY AVERAGED MODEL WITH CONSISTENT DYNAMICS 539
IMAGE 8
CONTENTS
15.6.5 ZONALLY AVERAGED MODELS VERSUS BOX MODELS 541
15.6.6 * A LOW-ORDER MODEL OF THE MERIDIONAL OVERTURNING 545
16 THE CIRCULATION O F THE SOUTHERN OCEAN 557
16.1 BASIC INGREDIENTS O F SOUTHERN OCEAN DYNAMICS 558
16.1.1 THE ANTARCTIC CIRCUMPOLAR CURRENT 558
16.1.2 MESOSCALE EDDIES 559
16.1.3 THE MERIDIONAL OVERTURNING CIRCULATION 560
16.2 HOMOGENEOUS WIND-DRIVEN MODELS OF THE SOUTHERN OCEAN 562
16.2.1 A HOMOGENEOUS MODEL WITH A FLAT BOTTOM AND BOTTOM FRICTION 565
16.2.2 HIDAKA'S DILEMMA WITH LATERAL FRICTION 567
16.2.3 HOMOGENOUS SOUTHERN OCEAN WITH TOPOGRAPHY 569
16.2.4 THE BAROTROPICCIRCULATION O V E R D O S E D / / H CONTOURS . . .
. 574
16.3 THE MERIDIONAL OVERTURNING O F THE SOUTHERN OCEAN 581
16.3.1 THE EULERIAN MERIDIONAL OVERTURNING CIRCULATION 581
16.3.2 THE ISOPYCNAL OVERTURNING CIRCULATION 584
16.3.3 INTERFACIAL FORMSTRESS AND VERTICAL TRANSFER OF MOMENTUM . 585
16.3.4 THE RESIDUAL OVERTURNING CIRCULATION 587
16.4 THE ZONAL MEAN DYNAMICS 589
16.4.1 COMPLETE BALANCE OF ZONAL MEAN ZONAL MOMENTUM 590
16.4.2 BAROTROPIC AND BAROCLINIC BOTTOM FORMSTRESS 594
16.5 THE VERTICALLY AVERAGED DYNAMICS O F THE SOUTHERN OCEAN 594
16.5.1 THE VERTICALLY AVERAGED MOMENTUM BUDGET 594
16.5.2 THE VERTICALLY AVERAGED VORTICITY BUDGET 596
16.5.3 THE BAROCLINIC STOMMEL MODEL O F THE ACC 598
16.6 SIMPLE MODELS OF THE ZONALLY AVERAGED SOUTHERN OCEAN 599
16.6.1 A MODEL OF VANISHING RESIDUAL OVERTURNING CIRCULATION . . . 600
16.6.2 MODELS DRIVEN BY SURFACE WINDSTRESS AND THERMOHALINE FORCING 602
16.7 * SIMPLE MODELS WITH BOTTOM FORMSTRESS 612
16.7.1 A HOMOGENEOUS CHARNEY-DEVORE MODEL 613
16.7.2 A BAROCLINIC CHARNEY-DEVORE MODEL 616
PART VI APPENDIX
A MATHEMATICAL BASICS 627
A.L REPRESENTATION O F HYDRODYNAMIC FIELDS 627
A. 1.1 SCALAR AND VECTOR FIELDS 627
A. 1.2 DIVERGENCE AND GAUSS'INTEGRAL THEOREM 629
A. 1.3 ROTATION AND STOKES'INTEGRAL THEOREM 629
A. 1.4 VELOCITY POTENTIAL AND STREAM FUNCTION 631
A. 1.5 INTEGRAL THEOREMS IN TWO DIMENSIONS 632
IMAGE 9
CONTENTS
A. 1.6 TENSOR FIELDS 632
A. 1.7 GRADIENT FORMATION IN A VECTOR FIELD 634
A.1.8 SOME USEFUL DIFFERENTIAL AND INTEGRAL FORMULAS 634
A.2 DIFFERENTIAL EQUATIONS 635
A.2.1 DYNAMICAL SYSTEMS: FIX SOINTS, STABILITY, AND BIFURCATIONS . 635
A.2.2 BOUNDARY VALUE PROBLEMS 642
A.3 DESCRIPTION OF RANDOM FIELDS 647
A.3.1 RANDOM VARIABLES 647
A.3.2 RANDOM FUNCTIONS 649
A.4 COORDINATE SYSTEMS 652
A.4.1 GENERAL CURVILINEAR ORTHOGONAL COORDINATES 653
A.4.2 OBLATE SPHEROIDAL COORDINATES 655
A.4.3 SPHERICAL COORDINATES 656
B MODELS O F THE OCEAN CIRCULATION 659
B.L MODELS BASED ON ISOPYCNAL COORDINATES 659
B. 1.1 EQUATIONS OF MOTION IN ISOPYCNAL COORDINATES 659
B.L.2 LAYER MODELS 661
B.L.3 A TWO-LAYER QUASI-GEOSTROPHIC MODEL 662
B.L.4 A PLANETARY-GEOSTROPHIC ISOPYCNAL LAYER MODEL 664
B.2 BARBI: A MODEL OF THE WIND-DRIVEN CIRCULATION 665
B.2.1 DERIVATION OF BARBI 665
B.2.2 EDDY PARAMETERIZATION FOR THE BARBI MODEL 670
B.2.3 THE CLOSURE O F THE INFINITE HIERARCHY 672
B.2.4 THE TWO-MODE BARBI MODEL 673
B.2.5 COMPARISON O F BARBI AND QG 674
B.2.6 WAVES IN BARBI 675
B.3 SPECTRAL MODELS 678
B.4 BOX MODELS 679
REFERENCES 683
INDEX 697
CHAPTERS AND SECTIONS WITH AN ASTERISK INDICATE MATERIAL THAT IS NOT
WRITTEN FOR A BE GINNER AND MAY BE OMITTED IN A FIRST READING.
Ocean Dynamics is a concise introduction to the fundamentals of fluid mechanics, non-
equilibrium thermodynamics and the common approximations for geophysical fluid dy¬
namics and presents a comprehensive approach to large-scale ocean circulation theory.
Mach
oí
the five parts ot the book
-
fundamental laws, common approximations, ocean
waves, oceanic turbulence and eddies, and selected aspects of ocean circulation theory
-
starts with elementary considerations, blending then classical topics with more advanced
Residing on the mathematical and physical fundaments of fluid mechanics, thermodynam¬
ics, and wave theory, the first three parts of the book are dedicated to the basic physical
laws describing the motions in the ocean, to the common approximations which simplify
the discussion of the large-scale fluid dynamics of the ocean, and to a comprehensive
treatment of linear theory for free and forced ocean waves. A short treatment of nonlinear
wave interactions is given in a Lagrangian framework.
1
he following part is concerned with turbulence in the ocean, covering turbulent motions
on small scales from centimeters to the depth of the surface mixed layer and also on larger
scales near the Rossby radius of deformation. Classical theory of homogeneous turbulence
is presented and applied to understand small-scale mixing in the upper and the interior
ocean. Turbulent meso-scale eddy activity is described and its role for the large-scale
dynamics is discussed using different averaging framework.
'I he last part covers starts with the discussion oi the appropriate boundary conditions and
the forcing fields of large-scale ocean circulation.
'1
hree extensive chapters are devoted to
the theory of the global wind-driven circulation in homogeneous and stratified regimes, to
the circulation of the Antarctic
Circumpolar
Current and the overturning in the Southern
Ocean, and to the global meridional overturning and the thermohaline-driven circulation.
Ivmphasis is placed on simple physical models rather than access to extensive numerical
results, enabling students to understand and reproduce the complex theory mostly by
analytical means. Where useful, however, numerical models of the circulation in simple
configurations are evaluated to support and extend analytical results.
All equations and models are derived in detail and illustrated by numerous figures and
applications,
'lhe
appendix provides short excursions into the mathematical background,
such as vector analysis, differential equations, the handling of random fields and cur¬
vilinear coordinates, furthermore, all model types used in the book are presented with
their mathematical and physical background,
lhe
book is written on the physical and
mathematical level of graduate students in theoretical courses of physical oceanography,
meteorology and physics. An extensive bibliography and index, extensive side notes and
recommendations for further reading, and a comparison with the specific atmospheric
physics where applicable, make this volume also a useful reading for researchers working |
| any_adam_object | 1 |
| author | Olbers, Dirk Jürgen 1944- Willebrand, Jürgen 1941- Eden, Carsten 1968- |
| author_GND | (DE-588)1044362065 (DE-588)143615793 (DE-588)140609229 |
| author_facet | Olbers, Dirk Jürgen 1944- Willebrand, Jürgen 1941- Eden, Carsten 1968- |
| author_role | aut aut aut |
| author_sort | Olbers, Dirk Jürgen 1944- |
| author_variant | d j o dj djo j w jw c e ce |
| building | Verbundindex |
| bvnumber | BV039744042 |
| classification_rvk | RB 10414 SK 950 |
| ctrlnum | (OCoLC)766342450 (DE-599)DNB1013760239 |
| dewey-full | 551.462 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.462 |
| dewey-search | 551.462 |
| dewey-sort | 3551.462 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Mathematik Geographie |
| format | Book |
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| id | DE-604.BV039744042 |
| illustrated | Illustrated |
| indexdate | 2024-07-21T00:18:03Z |
| institution | BVB |
| isbn | 3642234496 9783642234491 9783662506059 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024591647 |
| oclc_num | 766342450 |
| open_access_boolean | |
| owner | DE-384 DE-20 DE-11 DE-703 |
| owner_facet | DE-384 DE-20 DE-11 DE-703 |
| physical | XXIII, 704 S. Ill., graph. Darst., Kt. 235 mm x 155 mm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| spelling | Olbers, Dirk Jürgen 1944- Verfasser (DE-588)1044362065 aut Ocean dynamics Dirk Olbers, Jürgen Willebrand, Carsten Eden Berlin [u.a.] Springer 2012 XXIII, 704 S. Ill., graph. Darst., Kt. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Meereskunde (DE-588)4074685-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Meeresströmung (DE-588)4130725-2 gnd rswk-swf Wellenmechanik (DE-588)4127857-4 gnd rswk-swf Zirkulation (DE-588)4332814-3 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Meeresströmung (DE-588)4130725-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Meereskunde (DE-588)4074685-9 s Strömungsmechanik (DE-588)4077970-1 s Wellenmechanik (DE-588)4127857-4 s Zirkulation (DE-588)4332814-3 s Willebrand, Jürgen 1941- Verfasser (DE-588)143615793 aut Eden, Carsten 1968- Verfasser (DE-588)140609229 aut Erscheint auch als Online-Ausgabe 978-3-642-23450-7 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3857255&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024591647&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024591647&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Olbers, Dirk Jürgen 1944- Willebrand, Jürgen 1941- Eden, Carsten 1968- Ocean dynamics Meereskunde (DE-588)4074685-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Meeresströmung (DE-588)4130725-2 gnd Wellenmechanik (DE-588)4127857-4 gnd Zirkulation (DE-588)4332814-3 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4074685-9 (DE-588)4114528-8 (DE-588)4130725-2 (DE-588)4127857-4 (DE-588)4332814-3 (DE-588)4077970-1 |
| title | Ocean dynamics |
| title_auth | Ocean dynamics |
| title_exact_search | Ocean dynamics |
| title_full | Ocean dynamics Dirk Olbers, Jürgen Willebrand, Carsten Eden |
| title_fullStr | Ocean dynamics Dirk Olbers, Jürgen Willebrand, Carsten Eden |
| title_full_unstemmed | Ocean dynamics Dirk Olbers, Jürgen Willebrand, Carsten Eden |
| title_short | Ocean dynamics |
| title_sort | ocean dynamics |
| topic | Meereskunde (DE-588)4074685-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Meeresströmung (DE-588)4130725-2 gnd Wellenmechanik (DE-588)4127857-4 gnd Zirkulation (DE-588)4332814-3 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Meereskunde Mathematisches Modell Meeresströmung Wellenmechanik Zirkulation Strömungsmechanik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3857255&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024591647&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024591647&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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