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- JÖRN BEHRENS, ARMIN ISKE
- 2004

This paper proposes a new grid-free adaptive advection scheme. The resulting algorithm is a combination of the semi-Lagrangian method (SLM) and the grid-free radial basis function interpolation (RBF). The set of scattered interpolation nodes is subject to dynamic changes at run time: Based on a posteriori local error estimates, a self-adaptive local… (More)

- Jörn Behrens
- Lecture Notes in Computational Science and…
- 2006

- Jörn Behrens, Jens Zimmermann
- Euro-Par
- 2000

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)

- Jörn Behrens, Armin Iske
- 2004

Grid-free adaptive semi-Lagrangian advection, as recently suggested in [3], relies on two basic ingredients: scattered data approximation and a customized strategy for the adaption (coarsening and refinement) of the scattered nodes. In this paper, effective rules for the node adaption are proposed. The practicability of the grid-free advection method is… (More)

- Jörn Behrens
- Computing in Science and Engineering
- 2005

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)

- Lars Mentrup, Jörn Behrens
- 2004

This article describes a 2D and 3D adaptive and mass conserving semi-Lagrangian advection scheme for atmospheric transport problems. From the integral form of the conservation law we derive a semi-Lagrangian scheme based on conservation of mass along trajectories. The mapping of mass from the old (adaptively refined and possibly different) grid to the… (More)

Adaptive atmospheric modeling is a relatively young discipline in the wide area of atmospheric sciences. Many obstacles – mainly of technological character – hindered the introduction of adaptive modeling techniques into atmospheric simulation software. In recent years, however, a number of approaches has shown up. One of the main reasons for the recent… (More)

- Matthias Läuter, Dörthe Handorf, +5 authors Wolfgang Hiller
- J. Comput. Physics
- 2007

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)

- Michael Bader, Stefanie Schraufstetter, Csaba Vigh, Jörn Behrens
- IJCSE
- 2008

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)