Call number:
AWI A6-04-0011
;
PIK N 456-03-0069
In:
Large-scale atmosphere-ocean dynamics, Volume 1
Description / Table of Contents:
Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are modelled by the Navier-Stokes based equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers appeal to asymptotic methods, variational principles and conservation laws to construct models of the dominant large-scale flows that control our weather.
Simplified models are often amenable to analytical and numerical solution. The lectures in these volumes explain why such simplifications to Newton's second law produce accurate, useful models and, just as meteorologists seek patterns in the weather, mathematicians use geometrical thinking to understand the structure behind the governing equations. Here constrained Hamiltonian mechanics, transformation groups, and convex analysis are used to control the potentially chaotic dynamics in the numerical simulations, and to suggest optimal ways to exploit observational data. This book and its companion show how geometry and analysis quantify the concepts behind the fluid dynamics, and thus facilitate new solution strategies.
Type of Medium:
Monograph available for loan
Pages:
xxx, 370 Seiten
,
Illustrationen
ISBN:
052180681X
Language:
English
Note:
Contents:
Contributors. -
Preface. -
Introduction and Scientific Background / J.C.R. Hunt, J. Norbury and I. Roulstone. -
1. A view of the equations of meteorological dynamics and various approximations / A. A. White. -
2. Extended-geostrophic Euler-Poincare models for mesoscale oceanographic flow / J. S. Allen, D. D. Holm and P. A. Newberger. -
3. Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts / A. Babin, A. Mahalov and B. Nicolaenko. -
4. New mathematical developments in atmosphere and ocean dynamics, and their application to computer simulations / M. J. P. Cullen. -
5. Rearrangements of functions with applications to meteorology and ideal fluid flow / R. J. Douglas. -
6. Statistical methods in atmospheric dynamics: probability metrics and discrepancy measures as a means of defining balance / S. Baigent and J. Norbury.
Location:
AWI Reading room
Location:
A 18 - must be ordered
Branch Library:
AWI Library
Branch Library:
PIK Library
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