Large-Scale Atmosphere-Ocean Dynamics: Volume 1: Analytical Methods and Numerical Models: 001 - Hardcover

Hardcover

ISBN 10: 052180681X ISBN 13: 9780521806817

Publisher: Cambridge University Press, 2002

Synopsis

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 2002 book and its companion show how geometry and analysis facilitate solution strategies.

About this title

Review

'The book is a rich source of novel ideas and open research problems as well as up-to-date references. I shall want to refer back to it again and again.' Contemporary Physics

Book Description

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 2002 book and its companion show how geometry and analysis quantify the physical concepts, and thus facilitate new solution strategies.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2002
• ISBN 10: 052180681X
• ISBN 13: 9780521806817
• Binding: Hardcover
• Language: English
• Number of pages: 402
• Editor: Norbury John, Roulstone Ian