Geophysical Fluid Dynamics
Understanding (almost) Everything with Rotating Shallow Water Models
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Product details:
- Publisher OUP Oxford
- Date of Publication 19 September 2024
- ISBN 9780198933663
- Binding Paperback
- No. of pages512 pages
- Size 246x172x24 mm
- Weight 978 g
- Language English
- Illustrations Over 230 illustrations 539
Categories
Short description:
For the dynamics of large- and medium-scale motions in the oceans and the atmosphere, a simplified rotating shallow water model, obtained by vertical averaging, is used throughout the book in order to explain the fundamentals, and to give in-depth treatment of important dynamical processes.
MoreLong description:
Geophysical Fluid Dynamics examines the dynamics of stratified and turbulent fluid motion in the atmosphere, ocean and outer core. 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. Simultaneously, 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 Equations and Beyond
Introduction
Primitive equations model
Simplifying primitive equations: rotating shallow water models and their properties
Wave motions in rotating shallow water with boundaries, topography, at the equator, and in laboratory
Getting rid of fast waves: slow dynamics
Vortex dynamics on the f- and beta- plane and wave radiation
Rotating shallow water models as quasilinear hyperbolic systems, and related numerical methods
PART II: Understanding Fundamental Dynamical Phenomena with Rotating Shallow Water Models
Geostrophic adjustment and wave-vortex (non)interaction
RSW modons, and their surprising properties. RSW turbulence
Instabilities of jets and fronts and their nonlinear evolution
Instabilities in cylindrical geometry: vortices and laboratory flows
Resonant wave interactions and resonant excitation of waveguide modes
Wave turbulence
PART III: Generalisations of Standard Rotating Shallow-Water Model, and Their Applications
Rotating shallow-water models with horizontal density and/or temperature gradients
Rotating shallow-water models with moist convection
Rotating shallow-water models with full Coriolis force
