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Parallel variable-band Choleski solvers for computational structural analysis applications on vector multiprocessor supercomputersA Choleski method used to solve linear systems of equations that arise in large scale structural analyses is described. The method uses a novel variable-band storage scheme and is structured to exploit fast local memory caches while minimizing data access delays between main memory and vector registers. Several parallel implementations of this method are described for the CRAY-2 and CRAY Y-MP computers demonstrating the use of microtasking and autotasking directives. A portable parallel language, FORCE, is also used for two different parallel implementations, demonstrating the use of CRAY macrotasking. Results are presented comparing the matrix factorization times for three representative structural analysis problems from runs made in both dedicated and multi-user modes on both the CRAY-2 and CRAY Y-MP computers. CPU and wall clock timings are given for the various parallel methods and are compared to single processor timings of the same algorithm. Computation rates over 1 GIGAFLOP (1 billion floating point operations per second) on a four processor CRAY-2 and over 2 GIGAFLOPS on an eight processor CRAY Y-MP are demonstrated as measured by wall clock time in a dedicated environment. Reduced wall clock times for the parallel methods relative to the single processor implementation of the same Choleski algorithm are also demonstrated for runs made in multi-user mode.
Document ID
19920029733
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Poole, E. L.
(NASA Langley Research Center Hampton, VA, United States)
Overman, A. L.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1991
Publication Information
Publication: Computing Systems in Engineering
Volume: 2
Issue: 2-3,
ISSN: 0956-0521
Subject Category
Computer Programming And Software
Accession Number
92A12357
Distribution Limits
Public
Copyright
Other

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