Books  Environmental Science  Oceanography 

Large-Scale Atmosphere-Ocean Dynamics II: Geometric Methods and Models

Series: Large-Scale Atmosphere-Ocean Dynamics Series Volume: 2

Edited By: John Norbury and Ian Roulstone

364 pages, 43 illustrations, tables

Cambridge University Press

Hardback | Aug 2002 | #122572 | ISBN: 0521807573
Availability: Usually dispatched within 6 days Details
NHBS Price: £79.99 $108/€91 approx

About this book

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.


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-Poincare 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.

Write a review

There are currently no reviews for this product. Be the first to review this product!

Bestsellers in this subject

Oceanography and Marine Biology: An Annual Review: Volume 51

NHBS Price: £129.00 $174/€146 approx

Data Analysis Methods in Physical Oceanography

NHBS Price: £73.00 $99/€83 approx

Ocean Worlds

NHBS Special Offer Price: £9.99 £19.99 (Save £10.00) $13/€11 approx (ends 30/11/2017)

The Atlas of Coasts and Oceans

NHBS Price: £11.89 $16/€13 approx

Chemical Oceanography

NHBS Price: £51.99 $70/€59 approx

VAT: GB 407 4846 44
NHBS Ltd is registered in England and Wales: 1875194