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.
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.
Henk A. Dijkstra
Atlantic Ocean Global climate model ITC Meteorology Ocean Oceanography Orbit Pacific Ocean Scale Southern Oscillation Wind digital elevation model numerical methods
Wendy Welch Orlando (Northwest Research Associates, Inc.) in SIAM Vol. 44, No. 1, 2002 on the book's first edition:
"An old distinction comes to mind when considering Henk Dijkstra's satisfying new book on nonlinear physical oceanography: While many texts convey knowledge to the reader, this is a rare example of one which imparts some wisdom. (...) In summary, this text is different from most others in that it combines several different disciplines and drwas on many scientific studies in order to deduce mechanisms of ocean circulation. As it therefore cannot be substituted, and as it meets its unique goals with clarity and thoroughness, it has merited this enthusiastic review".
Several additional reviews on the first edition available, excerpts on the book's homepage on springeronline.
From the reviews of the second edition:
"This book … falls into the broad category of advanced graduate text cum research monograph. It does more than most books in this category to actually serve as a text … . The presentation of the book is excellent and includes a nice selection of color plates at the end … . The book clearly belongs on the shelf or in the departmental library of any serious physical oceanographer and is highly recommended for applied and computational mathematicians … ." (Michael Ghil, Geophysical and Astrophysical Fluid Dynamics, Vol. 102 (3), June, 2008)