Convectively-Dominated Flows and theFlux-Corrected Transport Technique

This work implemented a code on the nCUBE-1 hypercube for studying the evolution of two-dimensional, convectively-dominated fluid flows. An explicit finite difference  scheme was used that incorporates the flux-corrected transport  (FCT)  technique developed by Boris and Book [Boris:73a]. When this work was performed in 1986-1987, it was expected that explicit finite difference schemes for solving partial differential equations would run efficiently on MIMD distributed-memory computers, but this had only been demonstrated in practice for ``toy'' problems on small hypercubes of up to 64 processors. The motivation behind this work was to confirm that a bona fide scientific application could also attain high efficiencies on a large commercial hypercube. The work also allowed the capabilities and shortcomings of the newly-acquired nCUBE-1 hypercube to be assessed.

• 6.2.1 An Overview of the FCT Technique
• 6.2.2 Mathematics and the FCT Algorithm
• 6.2.3 Parallel Issues
• 6.2.4 Example Problem
• 6.2.5 Performance and Results
• 6.2.6 Summary

HPFA Applications and Paradigms

• Regular Grid Partial Differential Equation Applications
• Monte-Carlo Paradigms
• Regular Grids and Stencils