A mathematical theory of large-scale atmosphere/ocean flow / Michael J.P. Cullen.

Format:

Book

Author/Creator:

Cullen, Michael J. P.

Language:

English

Subjects (All):

Dynamic meteorology.

Dynamic meteorology--Mathematics.

Rossby waves.

Rossby waves--Mathematics.

Atmospheric circulation--Mathematics.

Atmospheric circulation.

Ocean circulation--Mathematics.

Ocean circulation.

Physical Description:

1 online resource (xiii, 259 p. ) ill., maps

Edition:

1st ed.

Place of Publication:

London : Imperial College Press, c2006.

Language Note:

English

Summary:

Aims to counteract the fashion for theories of "chaos" and unpredictability by describing a theory that underpins the accuracy of deterministic weather forecasts. This book suggests that further improvements are possible.

Contents:

Preface

1. Introduction

2. The governing equations and asymptotic approximations to them. 2.1. The governing equations. 2.2. Key asymptotic regimes. 2.3. Derivation of the semi-geostrophic approximation. 2.4. Various approximations to the shallow water equations. 2.5. Various approximations to the three-dimensional hydrostatic Boussinesq equations

3. Solution of the semi-geostrophic equations in plane geometry. 3.1. The solution as a sequence of minimum energy states. 3.2. Solution as a mass transportation problem. 3.3. The shallow water semi-geostrophic equations. 3.4. A discrete solution of the semi-geostrophic equations. 3.5. Rigorous results on existence of solutions

4. Solution of the semi-geostrophic equations in more general cases. 4.1. Solution of the semi-geostrophic equations for compressible flow. 4.2. Spherical semi-geostrophic theory. 4.3. The shallow water spherical semi-geostrophic equations. 4.4. The theory of almost axisymmetric flows

5. Properties of semi-geostrophic solutions. 5.1. The applicability of semi-geostrophic theory. 5.2. Stability theorems for semi-geostrophic flow. 5.3. Numerical methods for solving the semi-geostrophic equations

6. Application of semi-geostrophic theory to the predictability of atmospheric flows. 6.1. Application to shallow water flow on various scales. 6.2. The Eady wave. 6.3. Simulations of baroclinic waves. 6.4. Semi-geostrophic flows on the sphere. 6.5. Orographic flows. 6.6. Inclusion of friction. 6.7. Inclusion of moisture

7. Summary.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9786611867140

9781281867148

1281867144

9781860949197

1860949193

OCLC:

815742028