Computational Methods for the Atmosphere and the Oceans
Special Volume

A compilation of the current state of the art in numerical modeling of the atmosphere and ocean

Philippe G. Ciarlet (Series edited by), Roger Temam (Guest editor), Joe Tribbia (Guest editor)

9780444518934, Elsevier Science

Hardback, published 28 November 2008

784 pages
24 x 16.5 x 4 cm, 1.5 kg

"Since the IXth volume in the series ‘Handbook of Numerical Analysis’, volumes are devoted to a single specific application and are for this reason called ‘Special Volumes’. This XIVth volume focuses on Computational Methods of the Atmosphere and the Ocean and serves to bring useful and important geophysical problems to the attention of mathematicians as well as to present useful tools developed by mathematicians. As such, it addresses a wide audience of researchers and is most useful to those which have some previous knowledge of the subject… All chapters of the book are self-contained, include references and, if applicable, mostly gray-scale plots. 31 color-plates are collected at the end of the book." --Zentralblatt MATH 1226-1

This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered.

Part 1. Modeling
1.) Finite-Volume Methods in Meteorology
2.) Computational Kernel Algorithms for Fine-Scale, Multi-Process, Long-Time Oceanic Simulations

Part 2. Nonlinear Methods
3.) Bifurcation analysis of ocean, atmosphere and climate models
4.) Time-Periodic Flows in Geophysical and Classical Fluid Dynamics
5.) Discrete momentum maps for lattice EPDiff
6.) Numerical generation of stochastic differential equations in climate models

Part 3. Turbulence
7.) Large-eddy simulations for geophysical fluid dynamics
8.) Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactions

Part 4. Data Assimilation
9.) Data Assimilation for Geophysical Fluids
10.) Continuum and Discrete Covariance Propagation for Advective Dynamics

Part 5. Analysis
11.) The 3D Primitive Equations in the absence of viscosity: Boundary Conditions and well-posedness in the linearized case
12.) Some Mathematical Problems in Geophysical Fluid Dynamics

Subject Areas: Computer science [UY], Mechanical engineering [TGB], Meteorology & climatology [RBP], Oceanography [seas RBKC], Atmospheric physics [PHVJ], Applied mathematics [PBW]