Atlas: Adaptive Numerical Methods in Atmospheric Modeling by Joern Behrens

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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Adaptive Numerical Methods in Atmospheric Modeling
by
Joern Behrens
Department of Mathematics, Munich University of Technology , Germany

Numerical modeling of atmospheric circulation started in the early 1920s. Several widely accepted global models exist to date which use numerical kernels developed in the 1980s. While development in the 1980s and 1990s was concentrated on improvements of physical parameterizations, the interest in new numerical schemes for solving the underlying conservation equations has grown again recently. We will review some of these new developments. The focus of the presentation lies on adaptive methods in atmospheric transport simulation. Adaptivity can help to decrease the computational complexity of the simulation substantially. However, adaptivity alone is not sufficient for obtaining low turnaround times. Parallelizing adaptive methods is necessary, but non-trivial. There are several approaches to parallelizing adaptive methods. One very promising approach is based on space-filling curves. We will show results of a parallel and adaptive simulation of trace gas transport in the Arctic stratosphere. This approach can be generalized to other, more complicated situations.

http://www-m3.mathematik.tu-muenchen.de/m3/behrens/index.html

Date received: December 28, 2000