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Geophysical Fluid Dynamics: Understanding (almost) everything with rotating shallow water models

Geophysical Fluid Dynamics: Understanding (almost) everything with rotating shallow water models

Autorzy
Wydawnictwo Oxford University Press
Data wydania 2018
Liczba stron 512
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
Język angielski
ISBN 9780198804338
Kategorie Matematyka stosowana
731.85 PLN (z VAT)
$164.63 / €156.91 / £136.21 /
Produkt na zamówienie
Dostawa 5-6 tygodni
Ilość
Do schowka

Opis książki

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.

Geophysical Fluid Dynamics: Understanding (almost) everything with rotating shallow water models

Spis treści

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

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