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Published March 1996 | Published
Journal Article Open

Alternating-Direction Line-Relaxation Methods on Multicomputers

Abstract

We study the multicom.puter performance of a three-dimensional Navier–Stokes solver based on alternating-direction line-relaxation methods. We compare several multicomputer implementations, each of which combines a particular line-relaxation method and a particular distributed block-tridiagonal solver. In our experiments, the problem size was determined by resolution requirements of the application. As a result, the granularity of the computations of our study is finer than is customary in the performance analysis of concurrent block-tridiagonal solvers. Our best results were obtained with a modified half-Gauss–Seidel line-relaxation method implemented by means of a new iterative block-tridiagonal solver that is developed here. Most computations were performed on the Intel Touchstone Delta, but we also used the Intel Paragon XP/S, the Parsytec SC-256, and the Fujitsu S-600 for comparison.

Additional Information

© 1996 Society for Industrial and Applied Mathematics. Received by the editors August 16, 1993; accepted for publication (in revised form) October 24, 1994. This material is based upon work supported by the NSF under Cooperative Agreement No. CCR-9120008. Access to the Intel Touchstone Delta was provided by the Concurrent SuperComputing Consortium. Caltech visit [of J.H.] sponsored by the German Research Association (DFG) within the project: Strömungssimulation mit Hochleistungsrechnern.

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