Nonlinear Processes in Oceanic and Atmospheric Flows

Presentation

Dynamical Systems and Geophysical Fluid Dynamics: A historical perspective of recent analytical and computational progress.

Author: Reza Malek-Madani, Office of Naval Research.

Names and affiliation of other authors:

Oral or poster: Oral presentation

Abstract:
This talk will be in two parts. In the first part I will review some of the salient work supported by the Office of Naval Research since 1993 in the area of dynamical systems where the emphasis has been in developing computational tools for understanding ocean currents and the atmosphere based on rigorous and foundational mathematics. Certain results on hierarchical models as well as data assimilation will be presented.
In the second part of the talk I will elaborate on a new method for solving the three-dimensional Shallow Water equations, which is Lagrangian in essence and is parallelizable. The main details of the program, which is implemented in MATLAB's Distributed Toolbox, will be discussed.

*Satellite images from NASA and ESA

Nonlinear Processes in Oceanic and Atmospheric Flows. July 2-4, 2008. Castro Urdiales, Cantabria, Spain.