Abstract
This article reports of a scheme for the solution of the time-dependent two-dimensional Euler-equations with strong shocks using Roe's Approximate Riemann-Solver. This scheme reproduces strong shocks accurately though it is just first-order accurate in space. The computational domain is an unstructured grid, which allows calculation around complex geometries but at the expense of a complex hierarchical data structure with relations between points, sides and elements. Although this approach is more computationally intensive than finite difference schemes, it offers the advantages of being robust and producing a sharp resolution of shocks, where other schemes (especially those with artificial viscousity or the FTC concept) tend to smear.
The target machine was the MasPar MP-1216 of the IPVR of the University of Stuttgart, which is a SIMD computer with 16k processor elements. The implementation was done in MasPar Fortran (MPF, MasPar's Fortran 90 subset).
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References
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© 1994 Springer-Verlag Berlin Heidelberg
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Haberhauer, S. (1994). Unstructured computational fluid dynamics on massively-parallel SIMD-systems. In: Gentzsch, W., Harms, U. (eds) High-Performance Computing and Networking. HPCN-Europe 1994. Lecture Notes in Computer Science, vol 796. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020361
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DOI: https://doi.org/10.1007/BFb0020361
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