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Large-Scale Atmosphere-Ocean Dynamics: Volume 1: Analytical Methods and Numerical Models - Hardcover
Synopsis
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. The simplifications often result in models that are amenable to solution both analytically and numerically. This volume and its companion 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. They show how geometry and analysis facilitate solution strategies.
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Book Description
This book and its companion describe, in a language accessible to both mathematicians and meteorologists, the mathematics underpinning our understanding of large-scale atmosphere and ocean dynamics. Meteorologists understand 'weather' by identifying the dominant controlling mechanisms, and so mathematicians are deducing how such features can be described mathematically. They are discovering that geometry plays a key role in this process. These developments promise an important spin-off--improving numerical models by incorporating, using a geometric language, constraints that govern the optimal use of observational data and the development of typical weather systems.
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
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- PublisherCambridge University Press
- Publication date2002
- ISBN 10 052180681X
- ISBN 13 9780521806817
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages402
- EditorNorbury John, Roulstone Ian
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Large-Scale Atmosphere-Ocean Dynamics (Volume 1: Analytical Methods and Numerical Models)
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ISBN 10: 052180681X
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Large-Scale Atmosphere-Ocean Dynamics
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Large-Scale Atmosphere-Ocean Dynamics
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ISBN 13: 9780521806817
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Large-Scale Atmosphere-Ocean Dynamics: Volume 1: Analytical Methods and Numerical Models
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ISBN 10: 052180681X
ISBN 13: 9780521806817
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Large-scale Atmosphere-ocean Dynamics
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ISBN 13: 9780521806817
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Large-scale Atmosphere-ocean Dynamics
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ISBN 13: 9780521806817
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Large-Scale Atmosphere-Ocean Dynamics
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Large-Scale Atmosphere-Ocean Dynamics: Volume 1: Analytical Methods and Numerical Models
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ISBN 10: 052180681X
ISBN 13: 9780521806817
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Large-Scale Atmosphere-Ocean Dynamics: Volume 1: Analytical Methods and Numerical Models
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Cambridge University Press, 2002
ISBN 10: 052180681X
ISBN 13: 9780521806817
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Large-Scale Atmosphere-Ocean Dynamics: Volume 1 (Hardcover)
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ISBN 10: 052180681X
ISBN 13: 9780521806817
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Hardcover. Condition: new. Hardcover. 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. Numerical weather prediction, chaotic atmospheric dynamics, atmospheric modelling. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521806817
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