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  3. Large-Scale Atmosphere-Ocean Dynamics
  • Cited by 50
Publisher:
Cambridge University Press
Online publication date:
February 2010
Print publication year:
2002
Online ISBN:
9780511549991
DOI:
https://doi.org/10.1017/CBO9780511549991
Subjects:
Atmospheric Science and Meteorology, Mathematics, Earth and Environmental Sciences, Mathematical Modeling and Methods
Information

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

Reviews

‘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.’

Source: Contemporary Physics

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