Jörn Behrens

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A new parallel load distribution algorithm for unstructured parallel grid generation is presented. This new approach is based on a space-filling curve. The space-filling curve’s indices are calculated recursively and in parallel, thus leading to a very efficient, and fast load distribution. The partitions resulting from this distribution are simply(More)
In previous work, a new adaptive meshfree advection scheme for numerically solving linear transport equations has been proposed. The scheme, being a combination of an adaptive semi-Lagrangian method and local radial basis function interpolation, is essentially a method of backward characteristics. The adaptivity of the meshfree advection scheme relies on(More)
technology. Although mathematicians— and physicists and meteorologists—tend to neglect the technical details, the combination of techniques behind efficient and successful adaptive atmospheric modeling forms an interesting case study of scientific computing. In this article, I’ll combine many diverse topics—including grid generation, computational geometry,(More)
The parallel adaptive model PLASMA has been developed for modeling a barotropic atmosphere. This model adapts the computational grid at every time step according to a physical error indicator. Thus, compared to uniform grid experiments the number of grid points is reduced significantly. At the same time, the error increases only slightly, when comparing(More)
We will present an approach to numerical simulation on recursively structured adaptive discretisation grids. The respective grid generation process is based on recursive bisection of triangles along marked edges. The resulting refinement tree is sequentialised according to a Sierpinski space-filling curve, which leads to both minimal memory requirements and(More)