The Flux-corrected transport algorithm on the NCUBE hypercube

Authors:
D. W. Walker;G. C. Fox;G. R. Montry
Affiliations:
Concurrent Computation Project, 206-49, California Institute of Technology, Pasadena, CA;Concurrent Computation Project, 206-49, California Institute of Technology, Pasadena, CA;Sandia National Laboratory, Albuquerque, NM
Venue:
C3P Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2
Year:
1989

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Abstract

This work describes the implementation of a finite-difference algorithm, incorporating the flux-corrected transport technique, on the NCUBE hypercube. The algorithm is used to study two-dimensional, convectively-dominated fluid flows, and as a sample problem the onset and growth of the Kelvin-Helmholtz instability is investigated. Timing results are presented for a number of different sized problems on hypercubes of dimension up to 9. These results are interpreted by means of a simple performance model. The extension of the algorithm to the three-dimensional case is also discussed.