Large-Scale Atmosphere-Ocean Dynamics by John Norbury (English) Hardcover Book For Sale

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Large-Scale Atmosphere-Ocean Dynamics by John Norbury, Ian Roulstone

These lectures explain why simplifications to Newton's second law produce accurate, useful models and, mathematicians seek to understand the structure behind the governing equations. This book and its companion show how geometry and analysis quantify the physical concepts, and thus facilitate new solution strategies.

FORMAT
Hardcover LANGUAGE
English CONDITION
Brand New Publisher Description

Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in these volumes examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This book and its companion show how geometry and analysis facilitate solution strategies.

Table of Contents

Introduction J. C. R. Hunt, J. Norbury and I. Roulstone; 1. Balanced models in geophysical fluid dynamics: Hamiltonian formulation, constraints and formal stability O. Bokhove; 2. The swinging spring: a simple model of atmospheric balance P. Lynch; 3. On the stationary spectra for an ensemble of plane weakly nonlinear internal gravity waves P. Caillol and V. Zeitlin; 4. Hamiltonian description of shear flow N. J. Balmforth and P. J. Morrison; 5. Some applications of transformation theory in mechanics M. J. Sewell; 6. Legendre-transformable semi-geostrophic theories R. J. Purser; 7. The Euler-Poincaré equations in geophysical fluid dynamics D. D. Holm, J. E. Marsden and T. Ratiu; 8. Are there higher-accuracy analogues of semi-geostrophic theory? M. E. McIntyre and I. Roulstone.

Promotional

The lectures in this volume, first published in 2002, cover numerical weather prediction, chaotic atmospheric dynamics, atmospheric modelling.

Promotional \"Headline\"

The lectures in this volume, first published in 2002, cover numerical weather prediction, chaotic atmospheric dynamics, atmospheric modelling.

Description for Bookstore

These lectures explain why simplifications to Newton's second law produce accurate, useful models and, just as meteorologists seek weather patterns, mathematicians seek to understand the structure behind the governing equations. This book and its companion show how geometry and analysis quantify the physical concepts, and thus facilitate new solution strategies.

Description for Library

These lectures explain why simplifications to Newton's second law produce accurate, useful models and, just as meteorologists seek weather patterns, mathematicians seek to understand the structure behind the governing equations. This book and its companion show how geometry and analysis quantify the physical concepts, and thus facilitate new solution strategies.

Details ISBN0521807573 Publisher Cambridge University Press Year 2002 ISBN-10 0521807573 ISBN-13 9780521807579 Format Hardcover Publication Date 2002-08-15 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Edited by John Norbury Illustrations 43 figures Short Title LARGE-SCALE ATMOSPHERE-OCEAN D Language English Media Book Pages 396 DEWEY 551.51 DOI 10.1604/9780521807579 AU Release Date 2002-08-15 NZ Release Date 2002-08-15 UK Release Date 2002-08-15 Author Ian Roulstone Audience Professional & Vocational Country of Origin US Product Class Description Physics
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