ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The use of a parallel Schwarz-type domain decomposition procedure for 2-D block-structured grid generation, together with grid optimization for smoothness, orthogonality and solution accuracy, is investigated. The grid optimization algorithm considered is based on the Brackbill-Saltzman construction, a variational method which seeks to generate optimum grids by minimizing a weighted integral of three grid properties. The resulting grid generation equations are quasilinear, elliptic, partial differential equations, and therefore relatively expensive to solve. Good speed-up factors are obtained, with efficiencies above 90 per cent on the shared-memory Alliant FX-8 multi-processor, and on the Symult Systems Series 2010, a message-passing, distributed memory system. In order to obtain such speed-ups for typical problems, approximately 99 per cent of the code must be capable of concurrent execution. Grid refinement studies with adaptation to the compressible flow solution using the Euler equations suggest that a significant improvement in the resolution of shock waves can be achieved efficiently by this scheme.
Additional Material:
9 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630080405
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