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Nonlinear Physical Oceanography: A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Nino

Nonlinear Physical Oceanography: A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Nino

Authors
Publisher Springer Netherlands
Year
Pages 532
Version hardback
Language English
ISBN 9781402022623
Categories Oceanography (seas)
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Book description

Taken from a review of the first edition in SIAM:

"This text is different from most others in that it combines several different disciplines and draws on many scientific studies in order to deduce mechanisms of ocean circulation. (...) Therefore (it) cannot be substituted, and (...) it meets its unique goals with clarity and thoroughness".

Nonlinear Physical Oceanography: A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Nino

Table of contents

Preface Acknowledgments 1. Introduction1.1 Past Climate Variability1.2 The Present Ocean Circulation1.3 Present Climate Variability1.4 Physics of Climate Variability1.5 Exercises on Chapter 1 2. Background Material2.1 Basic Equations2.2 Vorticity Transport2.3 Potential Vorticity2.4 Stability2.5 Exercises on Chapter 2 3. A Dynamical Systems Point of View3.1 An Elementary Problem3.2 Dynamical Systems: Fixed Points3.3 Periodic Solutions and their Stability3.4 Bifurcations of Periodic Orbits3.5 Global Bifurcations3.6 Synchronization Phenomena3.7 Physics of Bifurcation Behavior3.8 Exercises on Chapter 3 4. Numerical Techniques4.1 A Prototype Problem4.2 Computation of Steady Solutions4.3 Detection and Switching4.4 Linear Stability Problem4.5 Implicit Time Integration4.6 Linear System Solvers: Direct Methods4.7 Linear System Solvers: Iterative Methods4.8 Application to the Prototype Problem4.9 Exercises on Chapter 4 5. The Wind-driven Ocean Circulation5.1 Phenomena5.2 Models of the Midlatitude Ocean Circulation5.3 Shallow-water and Quasi-geostrophic Models5.4 Classical Results5.5 Bifurcations of flows in Quasi-geostrophic Models5.6 Bifurcations of flows in Shallow-water Models5.7 Effects of Continental Geometry5.8 High-resolution OGCMs5.9 Observations5.10 Synthesis5.11 Exercises on Chapter 5 6. The Thermohaline Ocean Circulation6.1 Low-frequency North Atlantic Climate Variability6.2 Potential Mechanisms6.3 Two-dimensional Boussinesq Models6.4 Diffusive Thermohaline Flows6.5 Convective Thermohaline Flows6.6 Zonally Averaged Ocean Models6.7 Three-dimensional Ocean Models6.8 Coupled Ocean-atmosphere Models6.9 Synthesis6.10 Exercises on Chapter 6 7. The Dynamics and Physics of ENSO7.1 Basic Phenomena7.2 Models of the Equatorial Ocean7.3 Physics of Ocean-Atmosphere Coupling7.4 The Zebiak-Cane Model7.5 Towards the Delayed Oscillator7.6 Coupled Processes and the Annual Mean State7.7 Unifying Mean State and Variability7.8 Presence of the Seasonal Cycle7.9 ENSO in Coupled General Circulation Models7.10 Synthesis|7.11 Exercises on Chapter 7

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