The Flux-corrected transport algorithm on the NCUBE hypercube

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.