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Geophysical Fluid Dynamics : Understanding almost everything with rotating shallow water models - Vladimir Zeitlin

Geophysical Fluid Dynamics

Understanding almost everything with rotating shallow water models


Published: 15th April 2018
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Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes.

This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.

PART I: Modelling Large-Scale Oceanic and Atmospheric Flows: From Primitive to Rotating Shallow Water Equations and Beyond 1: Introduction 2: Primitive equations model 3: Simplifying primitive equations: rotating shallow water models and their properties 4: Wave motions in rotating shallow water with boundaries, topography, at the equator, and in laboratory 5: Getting rid of fast waves: slow dynamics 6: Vortex dynamics on the f- and beta- plane and wave radiation 7: Rotating shallow water models as quasilinear hyperbolic systems, and related numerical methods PART II: Understanding Fundamental Dynamical Phenomena with Rotating Shallow Water Models 8: Geostrophic adjustment and wave-vortex (non)interaction 9: RSW modons, and their surprising properties. RSW turbulence 10: Instabilities of jets and fronts and their nonlinear evolution 11: Instabilities in cylindrical geometry: vortices and laboratory flows 12: Resonant wave interactions and resonant excitation of waveguide modes 13: Wave turbulence PART II: Generalisations of Standard Rotating Shallow-Water Model, and Their Applications 14: Rotating shallow-water models with horizontal density and/or temperature gradients 15: Rotating shallow-water models with moist convection 16: Rotating shallow-water models with full Coriolis force

ISBN: 9780198804338
ISBN-10: 0198804334
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 512
Published: 15th April 2018
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.9 x 17.7  x 3.0
Weight (kg): 1.13