By P. Bastian (auth.), Siegfried Wagner (eds.)
Within the DFG -Schwerpunktprogramm "Stromungssimulation mit Hochleistungsrechnern" and in the actions of the French-German cooperation of CNRS and DFG a DFG symposium on "Computational Fluid Dynamics (CFD) on Parallel structures" was once prepared on the Institut fur Aerodynamik and Gasdynamik of the Stuttgart college, 9-10 December 1993. This symposium was once attended via 37 scientists. The medical software consisted of 18 papers that thought of finite aspect, finite quantity and a step Taylor Galerkin set of rules for the numerical answer of the Euler and Navier-Stokes equations on vastly parallel pcs with MIMD and SIMD structure and on paintings station clusters. Incompressible and compressible, regular and unsteady flows have been thought of together with turbu lent combustion with advanced chemistry. based and unstructured grids have been used. excessive numerical potency used to be verified through multiplicative, additive and multigrid tools. Shared reminiscence, digital shared reminiscence and allotted reminiscence platforms have been investigated, in certain cases in response to an automated grid partitioning strategy. a variety of equipment for area decomposition have been investigated. the most important aspect of those tools is the solution of the inter face challenge as the matrix concerned will be block dense. Multilevel decomposition may be very effective utilizing multifrontal set of rules. The numerical equipment contain specific and implicit schemes. within the latter case the method of equations is frequently solved via a Gauss -Seidel line re laxation technique.
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Extra info for Computational Fluid Dynamics on Parallel Systems: Proceedings of a CNRS-DFG Symposium in Stuttgart, December 9 and 10, 1993
Example text
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_... __ .. -, .. - .. -. '0 time steps /le T . 0 for different p and T time steps. method works for large scales, that means for laminar flows (see [8]). t. For the case p = 2, 4 grids are combined, for the case p = 3, 10 grids are combined and so on (see (4)). 1 up to 50. 1, we reduced the used time step in FLOWSI by a factor of 10. 0), all errors are zero. 1;,j,k only once. It is clear to see that all solutions obtained by the combination method are more accurate than the solution on a grid with half as many points in 'P- and z- direction.
Thus, in future, we will implement the combina- 46 tion method on an array-like network of workstations using the parallel communication structure discussed in this paper. REFERENCES [1] H. BUNGARTZ, An adaptive Poisson solver using hierarchical bases and sparse grids, in Proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra, P. de Groen and R. , Amsterdam, Elsevier, 1992. [2] --, Dunne Gitter und deren Anwendung bei der adaptiven Losung der dreidimensionalen Poisson-Gleichung, Dissertation, Institut fiir Informatik, TU Miinchen, 1992.