**Adaptive Semi-Lagrangian Simulation of Atmospheric Flow
Problems**

Adaptive Methods are not yet widely accepted in
atmospheric modelling. However, they can help to solve some of the problems
with multi-scale phenomena. Atmospheric modelling on the other hand, is mostly
concerned with large scale computations, requiring parallel comptuing
architectures. Adaptivity and parallel computing in general do not go well
together.

This presentation will give a brief introduction to atmospheric transport
phenomena. We will utilize the semi-Lagrangian discretization method (SLM) for
the equations involved. SLM are well suited for adaptivity and also for
parallelization. Space-filling curves, dating back to the late 19th century and
motivated by pure mathematics problems, help to solve the load balancing and
partitioning problem for parallel unstructured grids. Modelling the transport
of air masses in the arctic atmosphere will show, how modern mathematical
methods can greatly improve the understanding of environmental phenomena.

*Jörn Behrens*

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