Introduction to geophysical fluid dynamics: physical and numerical aspects
Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer meth...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier [u.a.]
2011
|
| Edition: | 2. ed. |
| Series: | International geophysics series
101 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. |
| Physical Description: | XVIII, 828 S. Ill., graph. Darst. |
| ISBN: | 9780120887590 |
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Record in the Search Index
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| adam_text | Titel: Introduction to geophysical fluid dynamics
Autor: Cushman-Roisin, Benoit
Jahr: 2011
Contents
Foreword xiii
Preface xv
Preface of the First Edition xvii
Parti
Fundamentals
1. Introduction
1.1 Objective 3
1.2 Importance of Geophysical Fluid Dynamics 4
1.3 Distinguishing Attributes of Geophysical Flows 6
1.4 Scales of Motions 8
1.5 Importance of Rotation 10
1.6 Importance of Stratification 12
1.7 Distinction between the Atmosphere and Oceans 14
1.8 Data Acquisition 17
1.9 The Emergence of Numerical Simulations 19
1.10 Scales Analysis and Finite Differences 23
1.11 Higher-Order Methods 28
1.12 Aliasing 33
Analytical Problems 35
Numerical Exercises 35
2. The Coriolis Force
2.1 Rotating Framework of Reference 41
2.2 Unimportance of the Centrifugal Force 44
2.3 Free Motion on a Rotating Plane 47
2.4 Analogy and Physical Interpretation 50
2.5 Acceleration on a Three-Dimensional Rotating Planet 52
2.6 Numerical Approach to Oscillatory Motions 55
2.7 Numerical Convergence and Stability 59
2.8 Predictor-Corrector Methods 63
2.9 Higher-Order Schemes 65
Analytical Problems 69
Numerical Exercises 72
3. Equations of Fluid Motion
3.1 Mass Budget 77
3.2 Momentum Budget 78
3.3 Equation of State 79
3.4 Energy Budget 80
3.5 Salt and Moisture Budgets 82
3.6 Summary of Governing Equations 83
3.7 Boussinesq Approximation 83
3.8 Flux Formulation and Conservative Form 87
3.9 Finite-Volume Discretization 88
Analytical Problems 92
Numerical Exercises 94
4. Equations Governing Geophysical Flows
4.1 Reynolds-Averaged Equations 99
4.2 Eddy Coefficients 101
4.3 Scales of Motion 103
4.4 Recapitulation of Equations Governing Geophysical Flows 106
4.5 Important Dimensionless Numbers 107
4.6 Boundary Conditions 109
4.7 Numerical Implementation of Boundary Conditions 117
4.8 Accuracy and Errors 120
Analytical Problems 125
Numerical Exercises 126
5. Diffusive Processes
5.1 Isotropic, Homogeneous Turbulence 131
5.2 Turbulent Diffusion 137
5.3 One-Dimensional Numerical Scheme 140
5.4 Numerical Stability Analysis 144
5.5 Other One-Dimensional Schemes 150
5.6 Multi-Dimensional Numerical Schemes 154
Analytical Problems 157
Numerical Exercises 158
6. Transport and Fate
6.1 Combination of Advection and Diffusion 163
6.2 Relative Importance of Advection: The Peclet Number 167
6.3 Highly Advective Situations 168
6.4 Centered and Upwind Advection Schemes 169
6.5 Advection-Diffusion with Sources and Sinks 183
6.6 Multidimensional Approach 186
Analytical Problems 196
Numerical Exercises 198
Part II
Rotation Effects
7. Ceostrophic Flows and Vorticity Dynamics
7.1 Homogeneous Geostrophic Flows 205
7.2 Homogeneous Geostrophic Flows over an Irregular Bottom 208
7.3 Generalization to Nongeostrophic Flows 210
7.4 Vorticity Dynamics 212
7.5 Rigid-Lid Approximation 215
7.6 Numerical Solution of the Rigid-Lid Pressure Equation 217
7.7 Numerical Solution of the Streamfunction Equation 221
7.8 Laplacian Inversion 224
Analytical Problems 231
Numerical Exercises 233
8. The Ekman Layer
8.1 Shear Turbulence 239
8.2 Friction and Rotation 243
8.3 The Bottom Ekman Layer 245
8.4 Generalization to Nonuniform Currents 247
8.5 The Ekman Layer over Uneven Terrain 250
8.6 The Surface Ekman Layer 251
8.7 The Ekman Layer in Real Geophysical Flows 254
8.8 Numerical Simulation of Shallow Flows 257
Analytical Problems 265
Numerical Exercises 267
9. Barotropic Waves
9.1 Linear Wave Dynamics 271
9.2 The Kelvin Wave 273
9.3 Inertia-Gravity Waves (Poincare Waves) 276
9.4 Planetary Waves (Rossby Waves) 278
9.5 Topographic Waves 283
9.6 Analogy between Planetary and Topographic Waves 287
9.7 Arakawa s Grids 289
9.8 Numerical Simulation of Tides and Storm Surges 300
Analytical Problems 309
Numerical Exercises 312
10. Barotropic Instability
10.1 What Makes a Wave Grow Unstable? 317
10.2 Waves on a Shear Flow 318
10.3 Bounds on Wave Speeds and Growth Rates 322
10.4 A Simple Example 324
10.5 Nonlinearities 328
10.6 Filtering 331
10.7 Contour Dynamics 334
Analytical Problems 340
Numerical Exercises 341
Part III
Stratification Effects
11. Stratification
11.1 Introduction 347
11.2 Static Stability 348
11.3 A Note on Atmospheric Stratification 349
11.4 Convective Adjustment 354
11.5 The Importance of Stratification: The Froude Number 356
11.6 Combination of Rotation and Stratification 358
Analytical Problems 361
Numerical Exercises 361
12. Layered Models
12.1 From Depth to Density 365
12.2 Layered Models 369
12.3 Potential Vorticity 374
12.4 Two-Layer Models 374
12.5 Wind-Induced Seiches in Lakes 379
12.6 Energy Conservation 381
12.7 Numerical Layered Models 383
12.8 Lagrangian Approach 387
Analytical Problems 390
Numerical Exercises 391
13. Internal Waves
13.1 From Surface to Internal Waves 395
13.2 Internal-Wave Theory 397
13.3 Structure of an Internal Wave 399
13.4 Vertical Modes and Eigenvalue Problems 401
13.5 Lee Waves 412
13.6 Nonlinear Effects 416
Analytical Problems 419
Numerical Exercises 421
14. Turbulence in Stratified Fluids
14.1 Mixing of Stratified Fluids 425
14.2 Instability of a Stratified Shear Flow: The Richardson Number 429
14.3 Turbulence Closure: k-Models 435
14.4 Other Closures: k-e and k-k/m 449
14.5 Mixed-Layer Modeling 450
14.6 Patankar-Type Discretizations 455
14.7 Wind Mixing and Penetrative Convection 458
Analytical Problems 466
Numerical Exercises 467
Part IV
Combined Rotation and Stratification Effects
15. Dynamics of Stratified Rotating Flows
15.1 Thermal Wind 473
15.2 Geostrophic Adjustment 475
15.3 Energetics of Geostrophic Adjustment 480
15.4 Coastal Upwelling 482
15.5 Atmospheric Frontogenesis 490
15.6 Numerical Handling of Large Gradients 502
15.7 Nonlinear Advection Schemes 507
Analytical Problems 512
Numerical Exercises 516
16. Quasi-Geostrophic Dynamics
16.1 Simplifying Assumption 521
16.2 Governing Equation 522
16.3 Length and Timescale 527
16.4 Energetics 530
16.5 Planetary Waves in a Stratified Fluid 532
16.6 Some Nonlinear Effects 539
16.7 Quasi-Geostrophic Ocean Modeling 542
Analytical Problems 546
Numerical Exercises 547
17. Instabilities of Rotating Stratified Flows
17.1 Two Types of Instability 553
17.2 Inertial Instability 554
17.3 Baroclinic Instability-The Mechanism 561
17.4 Linear Theory of Baroclinic Instability 566
17.5 Heat Transport 574
17.6 Bulk Criteria 576
17.7 Finite-Amplitude Development 579
Analytical Problems 584
Numerical Exercises 585
18. Fronts, Jets and Vortices
18.1 Fronts and Jets 589
18.2 Vortices 601
18.3 Geostrophic Turbulence 611
18.4 Simulations of Geostrophic Turbulence 613
Analytical Problems 618
Numerical Exercises 621
PartV
Special Topics
19. Atmospheric General Circulation
19.1 Climate Versus Weather 627
19.2 Planetary Heat Budget 627
19.3 Direct and Indirect Convective Cells 631
19.4 Atmospheric Circulation Models 637
19.5 Brief Remarks on Weather Forecasting 642
19.6 Cloud Parameterizations 642
19.7 Spectral Methods 644
19.8 Semi-Lagrangian Methods 649
Analytical Problems 652
Numerical Exercises 653
20. Oceanic General Circulation
20.1 What Drives the Oceanic Circulation 657
20.2 Large-Scale Ocean Dynamics (Sverdrup Dynamics) 660
20.3 Western Boundary Currents 669
20.4 Thermohaline Circulation 673
20.5 Abyssal Circulation 677
20.6 Oceanic Circulation Models 681
Analytical Problems 695
Numerical Exercises 696
21. Equatorial Dynamics
21.1 Equatorial Beta Plane 701
21.2 Linear Wave Theory 703
21.3 El Nino - Southern Oscillation (ENSO) 707
21.4 ENSO Forecasting 716
Analytical Problems 720
Numerical Exercises 721
22. Data Assimilation
22.1 Need for Data Assimilation 725
22.2 Nudging 730
22.3 Optimal Interpolation 731
22.4 Kalman Filtering 739
22.5 Inverse Methods 743
22.6 Operational Models 750
Analytical Problems 754
Numerical Exercises 756
Part VI
Web site Information
Appendix A Elements of Fluid Mechanics
A.1 Budgets 763
A.2 Equations in Cylindrical Coordinates 768
A.3 Equations in Spherical Coordinates 769
A.4 Vorticity and Rotation 770
Analytical Problems 771
Numerical Exercise 772
Appendix B Wave Kinematics
B.1 Wavenumber and Wavelength 773
B.2 Frequency, Phase Speed, and Dispersion 776
B.3 Group Velocity and Energy Propagation 778
Analytical Problems 781
Numerical Exercises 781
Appendix C Recapitulation of Numerical Schemes
C.1 The Tridiagonal System Solver 783
C.2 1D Finite-Difference Schemes of Various Orders 785
C.3 Time-Stepping Algorithms 786
C.4 Partial-Derivatives Finite Differences 787
C.5 Discrete Fourier Transform and Fast Fourier Transform 787
Analytical Problems 792
Numerical Exercises 793
References 795
Index 815
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| spelling | Cushman-Roisin, Benoit 1954- Verfasser (DE-588)1068041951 aut Introduction to geophysical fluid dynamics physical and numerical aspects Benoit Cushman-Roisin ; Jean-Marie Beckers 2. ed. Amsterdam [u.a.] Elsevier [u.a.] 2011 XVIII, 828 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier International geophysics series 101 Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Geophysik (DE-588)4020252-5 gnd rswk-swf Geophysik (DE-588)4020252-5 s Strömungsmechanik (DE-588)4077970-1 s DE-604 Beckers, Jean-Marie Verfasser aut International geophysics series 101 (DE-604)BV000005107 101 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018003235&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cushman-Roisin, Benoit 1954- Beckers, Jean-Marie Introduction to geophysical fluid dynamics physical and numerical aspects International geophysics series Strömungsmechanik (DE-588)4077970-1 gnd Geophysik (DE-588)4020252-5 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4020252-5 |
| title | Introduction to geophysical fluid dynamics physical and numerical aspects |
| title_auth | Introduction to geophysical fluid dynamics physical and numerical aspects |
| title_exact_search | Introduction to geophysical fluid dynamics physical and numerical aspects |
| title_full | Introduction to geophysical fluid dynamics physical and numerical aspects Benoit Cushman-Roisin ; Jean-Marie Beckers |
| title_fullStr | Introduction to geophysical fluid dynamics physical and numerical aspects Benoit Cushman-Roisin ; Jean-Marie Beckers |
| title_full_unstemmed | Introduction to geophysical fluid dynamics physical and numerical aspects Benoit Cushman-Roisin ; Jean-Marie Beckers |
| title_short | Introduction to geophysical fluid dynamics |
| title_sort | introduction to geophysical fluid dynamics physical and numerical aspects |
| title_sub | physical and numerical aspects |
| topic | Strömungsmechanik (DE-588)4077970-1 gnd Geophysik (DE-588)4020252-5 gnd |
| topic_facet | Strömungsmechanik Geophysik |
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