Atmospheric and oceanic fluid dynamics: fundamentals and large-scale circulation
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke Enthält Literaturverzeichnis (Seite 909-935) und Index |
| Beschreibung: | xviii, 946 Seiten Illustrationen, Diagramme, Karten |
| ISBN: | 9781107065505 |
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Datensatz im Suchindex
| _version_ | 1804177718748643329 |
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| adam_text | Contents
Preface xiii
Notation xvii
PART I FUNDAMENTALS OF GEOPHYSICAL FLUID DYNAMICS 1
1 Equations of Motion 3
1.1 Time Derivatives for Fluids 3
1.2 The Mass Continuity Equation 7
1.3 The Momentum Equation 11
1.4 The Equation of State 13
1.5 Thermodynamic Relations 14
1.6 Thermodynamic Equations for Fluids 21
1.7 Thermodynamics of Seawater 30
1.8 Soundwaves 40
1.9 Compressible and Incompressible Flow 41
1.10 The Energy Budget 42
1.11 An Introduction to nondimensionalization and Scaling 46
Appendix A: Thermodynamics of an Ideal gas from the Gibbs function 47
Appendix B: The First Law of Thermodynamics for Fluids 49
2 Effects of Rotation and Stratification 55
2.1 Equations of Motion in a Rotating Frame 55
2.2 Equations of Motion in Spherical Coordinates 59
2.3 Cartesian Approximations: The Tangent Plane 69
2.4 The Boussinesq Approximation 70
2.5 The Anelastic Approximation 75
2.6 Pressure and other Vertical Coordinates 79
2.7 Scaling for Hydrostatic Balance 83
2.8 Geostrophic and Thermal Wind Balance 87
2.9 Gradient Wind Balance 94
2.10 Static Instability and the Parcel Method 97
Appendix A: Asymptotic Derivation of the Boussinesq Equations 101
Shallow Water Systems 105
3.1 Dynamics of a Single Shallow Layer of Fluid 105
3.2 Reduced Gravity Equations no
3.3 Multi-Layer Shallow Water Equations 112
3.4 From Continuous Stratification to Shallow Water 114
3.5 Geostrophic Balance and Thermal Wind 118
3.6 Form Stress 119
3.7 Conservation Properties of Shallow Water Systems 120
3.8 Shallow Water Waves 123
3.9 Geostrophic Adjustment 127
3.10 Isentropic Coordinates 134
3.11 Available Potential Energy 137
Vorticity and Potential Vorticity 143
4.1 Vorticity and Circulation 143
4.2 The Vorticity Equation 145
4.3 Vorticity and Circulation Theorems 147
4.4 Vorticity Equation in a Rotating Frame 153
4.5 Potential Vorticity Conservation 156
4.6 Potential Vorticity in the Shallow Water System 162
4.7 Potential Vorticity in Approximate, Stratified Models 163
4.8 The Impermeability of Isentropes to Potential Vorticity 165
Geostrophic Theory 171
5.1 Geostrophic Scaling 171
5.2 The Planetary-Geostrophic Equations 176
5.3 The Shallow Water Quasi-Geostrophic Equations 180
5.4 The Continuously Stratified Quasi-Geostrophic System 187
5.5 Quasi-Geostrophy and Ertel Potential Vorticity 195
5.6 Energetics of Quasi-Geostrophy 198
5.7 The Ekman Layer 201
II WAVES, INSTABILITIES AND TURBULENCE 213
Wave Fundamentals 215
6.1 Fundamentals and Formalities 215
6.2 Group Velocity 220
6.3 Ray Theory 224
6.4 Rossby Waves 226
6.5 Rossby Waves in Stratified Quasi-Geostrophic Flow 231
6.6 Energy Propagation and Reflection of Rossby Waves 234
6.7 Group Velocity, Revisited 240
6.8 Energy Propagation of Poincare Waves 244
Appendix A: The wkb Approximation for Linear Waves 247
Gravity Waves 251
7.1 Surface Gravity Waves 251
7.2 Shallow Water Waves on Fluid Interfaces 257
7.3 Internal Waves in a Continuously Stratified Fluid 259
7.4 Internal Wave Reflection 268
7.5 Internal Waves in a Fluid with Varying Stratification 271
7.6 Internal Waves in a Rotating Frame of Reference 276
7.7 Topographic Generation of Internal Waves 283
7.8 Acoustic-Gravity Waves in an Ideal Gas 293
8 Linear Dynamics at Low Latitudes 297
8.1 Co-existence of Rossby and Gravity Waves 298
8.2 Waves on the Equatorial Beta Plane 303
8.3 Ray Tracing and Equatorial Trapping 314
8.4 Forced-Dissipative Wavelike Flow 316
8.5 Forced, Steady Flow: the Matsuno-Gill Problem 321
Appendix A: Nondimensionalization and Parabolic Cylinder Functions 330
Appendix B: Mathematical Relations in the Matsuno-Gill Problem 333
9 Barotropic and Baroclinie Instability 335
9.1 Kelvin-Helmholtz Instability 335
9.2 Instability of Parallel Shear Flow 337
9.3 Necessary Conditions for Instability 345
9.4 Baroclinie Instability 347
9.5 The Eady Problem 351
9.6 Two-Layer Baroclinie Instability 356
9.7 A Kinematic View of Baroclinie Instability 363
9.8 The Energetics of Linear Baroclinie Instability 367
9.9 Beta, Shear and Stratification in a Continuous Model 369
10 Waves, Mean-Flows, and their Interaction 379
10.1 Quasi-Geostrophic Wave-Mean-Flow Interaction 380
10.2 The Eliassen-Palm Flux 383
10.3 The Transformed Eulerian Mean 387
10.4 The Non-Acceleration Result 394
10.5 Influence of Eddies on the Mean-Flow in the Eady Problem 399
10.6 Necessary Conditions for Instability 403
10.7 Necessary Conditions for Instability: Use of Pseudoenergy 406
11 Basics of Incompressible Turbulence 413
11.1 The Fundamental Problem of Turbulence 413
11.2 The Kolmogorov Theory 416
11.3 Two-dimensional Turbulence 423
11.4 Predictability of Turbulence 433
11.5 Spectra of Passive Tracers 437
12 Geostrophic Turbulence and Baroclinie Eddies 445
12.1 Differential Rotation in Two-dimensional Turbulence 445
12.2 Stratified Geostrophic Turbulence 454
12.3 A Scaling Theory for Geostrophic Turbulence 460
12.4 Phenomenology of Baroclinie Eddies in the Atmosphere and Ocean 464
13 Turbulent Diffusion and Eddy Transport 473
13.1 Diffusive Transport 473
13.2 Turbulent Diffusion 475
13.3 Two-Particle Diffusivity 480
13.4 Mixing Length Theory 484
13.5 Homogenization of a Scalar that is Advected and Diffused 487
13.6 Diffusive Fluxes and Skew Fluxes 490
13.7 Eddy Diffusion in the Atmosphere and Ocean 493
13.8 Thickness and Potential Vorticity Diffusion 502
PART III LARGE-SCALE ATMOSPHERIC CIRCULATION 509
14 The Overturning Circulation: Hadley and Ferrel Cells 511
14.1 Basic Features of the Atmosphere 511
14.2 A Steady Model of the Hadley Cell 516
14.3 A Shallow Water Model of the Hadley Cell 524
14.4 Asymmetry Around the Equator 525
14.5 Eddy Effects on the Hadley Cell 528
14.6 Non-local Eddy Effects and Numerical Results 532
14.7 The Ferrel Cell 534
15 Zonally-Averaged Mid-Latitude Atmospheric Circulation 539
15.1 Surface Westerlies and the Maintenance of a Barotropic Jet 540
15.2 Layered Models of the Mid-Latitude Circulation 549
15.3 Eddy Fluxes and an Example of a Closed Model 562
15.4 A Stratified Model and the Real Atmosphere 566
15.5 Tropopause Height and the Stratification of the Troposphere 572
15.6 A Model for both Stratification and Tropopause Height 579
Appendix A: tem for the Primitive Equations in Spherical Coordinates 581
16 Planetary Waves and Zonal Asymmetries 585
16.1 Rossby Wave Propagation in a Slowly Varying Medium 585
16.2 Horizontal Propagation of Rossby Waves 588
16.3 Critical Lines and Critical Layers 594
16.4 A wkb Wave-Mean-Flow Problem for Rossby Waves 598
16.5 Vertical Propagation of Rossby waves 599
16.6 Vertical Propagation of Rossby Waves in Shear 606
16.7 Forced and Stationary Rossby Waves 609
16.8 Effects of Thermal Forcing 615
16.9 Wave Propagation Using Ray Theory 621
17 The Stratosphere 627
17.1 A Descriptive Overview 627
17.2 Waves in the Stratosphere 634
17.3 Wave Momentum Transport and Deposition 639
17.4 Phenomenology of the Residual Overturning Circulation 642
17.5 Dynamics of the Residual Overturning Circulation 644
17.6 The Quasi-Biennial Oscillation 652
17.7 Variability and Extra-Tropical Wave-Mean-Flow Interaction 663
18 Water Vapour and the Tropical Atmosphere 673
18.1 A Moist Ideal Gas 673
18.2 The Distribution of Relative Humidity 680
18.3 Atmospheric Convection 691
18.4 Convection in a Moist Atmosphere 695
18.5 Radiative Equilibrium 700
18.6 Radiative-Convective Equilibrium 703
18.7 Vertically-Constrained Equations of Motion for Large Scales 708
18.8 Scaling and Balanced Dynamics for Large-Scale Flow in the Tropics 711
18.9 Scaling and Balance for Large-Scale Flow with Diabatic Sources 714
18.10 Convectively Coupled Gravity Waves and the mjo 717
Appendix A: Moist Thermodynamics from the Gibbs Function 720
Appendix B: Equations of Radiative Transfer 724
Appendix C: Analytic Approximation of Tropopause Height 725
PART IV LARGE-SCALE OCEANIC CIRCULATION 729
19 Wind-Driven Gyres 731
19.1 The Depth Integrated Wind-Driven Circulation 733
19.2 Using Viscosity Instead of Drag 740
19.3 Zonal Boundary Layers 744
19.4 The Nonlinear Problem 745
19.5 Inertial Solutions 747
19.6 Topographic Effects on Western Boundary Currents 753
20 Structure of the Upper Ocean 761
20.1 Vertical Structure of the Wind-Driven Circulation 761
20.2 A Model with Continuous Stratification 767
20.3 Observations of Potential Vorticity 770
20.4 The Main Thermocime 774
20.5 Scaling and Simple Dynamics of the Main Thermocline 776
20.6 The Internal Thermocline 779
20.7 The Ventilated Thermocline 785
Appendix A: Miscellaneous Relationships in a Layered Model 796
21 The Meridional Overturning Circulation and the acc 801
21.1 Sideways Convection 802
21.2 The Maintenance of Sideways Convection 808
21.3 Simple Box Models 813
21.4 A Laboratory Model of the Abyssal Circulation 818
21.5 A Model for Oceanic Abyssal Flow 821
21.6 A Model of Deep Wind-Driven Overturning 829
21.7 The Antarctic Circumpolar Current 836
21.8 A Dynamical Model of the Residual Overturning Circulation 845
21.9 A Model of the Interhemispheric Circulation 853
22 Equatorial Circulation and El Nino 861
22.1 Observational Preliminaries 861
22.2 Dynamical Preliminaries 862
22.3 A Local Model of the Equatorial Undercurrent 865
22.4 An Ideal Fluid Model of the Equatorial Undercurrent 876
22.5 An Introduction to El Nino and the Southern Oscillation 886
22.6 The Walker Circulation 891
22.7 The Oceanic Response 893
22.8 Coupled Models and Unstable Interactions 895
22.9 Simple Conceptual and Numerical Models of enso 898
22.10 Numerical Solutions of the Shallow Water Equations 902
Appendix A: Derivation of a Delayed Oscillator Model 904
References 909
Index
936
The atmosphere and ocean are two of the most
important components of the climate system, and
fluid dynamics is central to our understanding of both.
This book provides a unified and comprehensive
treatment of the field that blends classical results
with modern interpretations. Suitable for advanced
undergraduate and graduate students, as well as
established scientists, the book takes the reader
seamlessly from the basics to the frontiers of
knowledge, from the equations of motion to modern
theories of the general circulation of the atmosphere
and ocean. These concepts are illustrated throughout
the book with observations and numerical examples.
As well as updating and revising existing chapters,
this second edition includes new chapters on tropical
dynamics, El Nino, the stratosphere and gravity
waves. It is now also illustrated with colour figures
throughout. Supplementary resources are provided
online, including figures from the book and problem
sets, making this new edition an ideal resource for
students in the atmospheric, oceanic and climate
sciences. It will also be of interest to students in
applied mathematics and engineering.
|
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| discipline | Geowissenschaften Physik Geographie |
| edition | Second edition |
| format | Book |
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| id | DE-604.BV044422427 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:52:32Z |
| institution | BVB |
| isbn | 9781107065505 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029823996 |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Vallis, Geoffrey K. Verfasser (DE-588)1172124779 aut Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation Geoffrey K. Vallis, University of Exeter Second edition Cambridge Cambridge University Press 2017 xviii, 946 Seiten Illustrationen, Diagramme, Karten txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Enthält Literaturverzeichnis (Seite 909-935) und Index Meer (DE-588)4038301-5 gnd rswk-swf Atmosphäre (DE-588)4003397-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Atmosphäre (DE-588)4003397-1 s Meer (DE-588)4038301-5 s Strömungsmechanik (DE-588)4077970-1 s 1\p DE-604 DE-604 Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029823996&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029823996&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vallis, Geoffrey K. Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation Meer (DE-588)4038301-5 gnd Atmosphäre (DE-588)4003397-1 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4038301-5 (DE-588)4003397-1 (DE-588)4077970-1 |
| title | Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation |
| title_auth | Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation |
| title_exact_search | Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation |
| title_full | Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation Geoffrey K. Vallis, University of Exeter |
| title_fullStr | Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation Geoffrey K. Vallis, University of Exeter |
| title_full_unstemmed | Atmospheric and oceanic fluid dynamics fundamentals and large-scale circulation Geoffrey K. Vallis, University of Exeter |
| title_short | Atmospheric and oceanic fluid dynamics |
| title_sort | atmospheric and oceanic fluid dynamics fundamentals and large scale circulation |
| title_sub | fundamentals and large-scale circulation |
| topic | Meer (DE-588)4038301-5 gnd Atmosphäre (DE-588)4003397-1 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Meer Atmosphäre Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029823996&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=029823996&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT vallisgeoffreyk atmosphericandoceanicfluiddynamicsfundamentalsandlargescalecirculation |