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17th GAMM-Seminar Leipzig on
Construction of Grid Generation Algorithms

Max-Planck-Institute for Mathematics in the Sciences
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  17th GAMM-Seminar
February, 1st-3rd, 2001
 
     
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  Abstract C. Helf, Fri, 15.30-15.55 Previous Contents Next  
  A Polygonal/Polyhedral Grid Data Structure for Integrated Grid Generation and Flow Simulation
C. Helf (Uni Stuttgart)

For use in a higher order, cell-centered Finite Volume scheme, a grid representation employing arbitrary polygons (2D) respectively polyhedra (3D) as grid cells was developed. Even non-convex or non-simply connected grid cells are admissible. Therefore, the computational domain can be represented as a single grid cell as soon as the domain surface was appropriately discretized. Grid refinement is accomplished by splitting grid cells along hyper-planes. The choice of a hyper-plane normal direction provides an additional degree of freedom for spatial (h-) refinement. For example, surface aligned cells can be generated near domain boundaries. Grid coarsening is achieved by coalescing neighboring grid cells. Grid adaption is controlled by a refinement indicator, which evaluates solution changes in a local neighborhood. This approach allows to completely integrate grid generation into an adaptive solution process. Numerical results for inviscid flow calculations demonstrate the feasibility of the approach.
 

 
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Last updated:
30.11.2004 Impressum
 
Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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