This graduate- and research-level book applies the methodology of dynamical systems theory to investigate the physics of the global ocean circulation, e.g. the dynamics of the Gulf Stream and the El Niño/Southern Oscillation phenomenon. It also deals with the numerical methods for applying bifurcation analysis on large dimensional dynamical systems, which arise through discretization of ocean models. Systematic analysis within a hierarchy of models using these techniques leads to a novel approach in understanding the phenomena of climate variability and an overview is obtained of the relations between the results of the different models within the hierarchy. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art models and observations are sought. Each chapter is essentially self-contained and many details of derivations are provided. The second edition is updated throughout.

Autorentext

Henk A. Dijkstra is Full Professor for Physical Oceanography at Colorado State University, Fort Collins. After graduating in applied mathematics at the University of Groningen in 1984, he worked on his Ph.D. in Groningen on a Spacelab experiment and on Marangoni convection under microgravity conditions. He continued this research in chemical engineering at Cornell University. In 1990 he started working on physical oceanography and became Assistant Professor at Utrecht University, in 1996 an Associate Professor and in 2001 a Full Professor there. Henk Dijkstra has developed, consequently, the nonlinear dynamical systems approach to oceanography. Mainly to emphasize that he first computed explicit bifurcation diagram for a global ocean circulation model and explained the structure of equilibria for a hierarchy of models going from a single-hemispheric to the global configuration. He discovered the multidecadal mode in single-hemispheric thermohaline flows and explained its relevance in the Atlantic Multidecadal Oscillation. He demonstrated the existence of steady separation patterns in northern hemispheric western boundary currents and explained the subannual variability through barotropic destabilization of these states. He first analysed the stability of the double-gyre wind driven flows in quasi-geostrophic one- and two-layer models and demonstrated its relevance with respect to low-frequency variability of the ocean gyres.

He became member of the Royal Dutch Academy of Sciences and Arts in 2002. He has published more than 100 papers and a book on Nonlinear Physical Oceanography in 2000. He has organized for several years a session at EGS/EGU meetings on this topic.

Klappentext

In this book, methodology of dynamical systems theory is applied to investigate the physics of the large-scale ocean circulation. Topics include the dynamics of western boundary currents such as the Gulf Stream in the Atlantic Ocean and the Kurosio in the Pacific Ocean, the stability of the thermohaline circulation, and the El Niño/Southern Oscillation phenomenon in the Tropical Pacific. The book also deals with the numerical methods to apply bifurcation analysis on large-dimensional dynamical systems, with tens of thousands (or more) degrees of freedom, which arise through discretization of ocean and climate models. The novel approach to understand the phenomena of climate variability is through a systematic analysis of the solution structure of a hierarchy of models using these techniques. In this way, a connection between the results of the different models within the hierarchy can be established. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art ocean (and climate) models and observations are sought. The reader is expected to have a background in basic fluid dynamics and applied mathematics, although the level of the text sometimes is quite introductory. Each of the chapters is rather self-contained and many details of derivations are provided. Exercises presented at the end of each chapter make it a perfect graduate-level text.

This book is aimed at graduate students and researchers in meteorology, oceanography and related fields who are interested in tackling fundamental problems in dynamical oceanography and climate dynamics.

Zusammenfassung
In the ?rst edition of this book (publishedby Kluwer Academic in November 2000) the methodology of dynamical systems theory was introduced and appli- E cations of this theory to the large-scale ocean circulation and El Nino were p- vided. Surprisedby the favorable reactions, I decided to make a second edition of the book which could be more easily used as a textbook for a graduate (700-level) course. The ?rst edition has undergone a substantial rewrite on three aspects: (i)thetext has been adapted at manylocations to improve clarity and readability, (ii)many recent results on thewind-driven ocean circulation, thethermohaline E circulation and El Nino have been included, and (iii) a number of exercises have been added at the end of each chapter. In chapter 1, the description of what is known from observations on the global ocean circulation has been improved by including, for example, recent estimates of transport quantities. Both thechapters 2 and 3 have only slightly changed; in chapter 3, the text on homoclinic orbits has been extended as these type of phenomena have now clearly been found in the wind-driven double-gyre ocean circulation (as presented in chapter 5). In chapter 4, I have added a paragraph on the computation of isolated branches of steady states and the text on the iterative linear systems solvers has been shortened.

Inhalt

Background Material.- A Dynamical Systems Point of View.- Numerical Techniques.- The Wind-Driven Circulation.- The Thermohaline Circulation.- The Dynamics and Physics of ENSO.