Computational Methods for the Atmosphere and the Oceans

Special Volume

Edited by

  • Roger Temam, Indiana University, Bloomington, USA 1
  • Joe Tribbia, University Corporation for Atmospheric Research, Boulder, CO, USA

Series Editor:

  • Philippe Ciarlet, City University of Hong Kong, Kowloon

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.
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This compilation is ideal for graduate students and researchers alike: Physical Sciences and Engineering, Numerical Methods in Engineering, Numerical Analysis, Applied Mathematics.


Book information

  • Published: November 2008
  • Imprint: ELSEVIER
  • ISBN: 978-0-444-51893-4


"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

Table of Contents

Part 1. Modeling 1.) Finite-Volume Methods in Meteorology2.) Computational Kernel Algorithms for Fine-Scale, Multi-Process, Long-Time Oceanic SimulationsPart 2. Nonlinear Methods 3.) Bifurcation analysis of ocean, atmosphere and climate models4.) Time-Periodic Flows in Geophysical and Classical Fluid Dynamics5.) Discrete momentum maps for lattice EPDiff6.) Numerical generation of stochastic differential equations in climate modelsPart 3. Turbulence 7.) Large-eddy simulations for geophysical fluid dynamics8.) Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactionsPart 4. Data Assimilation9.) Data Assimilation for Geophysical Fluids10.) Continuum and Discrete Covariance Propagation for Advective DynamicsPart 5. Analysis11.) The 3D Primitive Equations in the absence of viscosity: Boundary Conditions and well-posedness in the linearized case12.) Some Mathematical Problems in Geophysical Fluid Dynamics