Geophysical fluid dynamics : understanding (almost) everything with rotating shallow water models First Edition Zeitlin 0192526464 9780192526465

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Product details:

• ISBN-10: 0192526464
• ISBN-13: 9780192526465
• Author: Vladimir Zeitlin

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.

Table of contents:

Part I Modelling Large-scale Oceanic and Atmospheric Flows: From Primitive to Rotating Shallow-Water
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 Laborat
5 Getting Rid of Fast Waves: Slow Dynamics
6 Vortex Dynamics on the f and beta Plane and Wave Radiation by Vortices
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 Wave-guide Modes
13 Wave Turbulence
14 Rotating Shallow-Water model with Horizontal Density and/or Temperature Gradients
15 Rotating Shallow-Water Models with Moist Convection
16 Rotating Shallow-Water Models with Full Coriolis Force

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