PARALLEL GMRES SOLUTION OF CONVECTIVE TRANSPORT PROBLEMS ON DISTRIBUTED MEMORY COMPUTERS

Abstract

Parallel GMRES algorithms for solution of convective transport problems on distributed memory com-puters are investigated in this paper. The space-time FEM stabilised by the GLS formulation is applied as the most accurate and stable. The parallel algorithms based on the domain decomposition and iterative GMRES solver are implemented in order to reduce long computing time associated with space-time GLS method. The developed data structures, the static load balancing and the inter-processor communication algorithms are particularly suited for homo-geneous distributed memory PC clusters. The benchmark problem of the rotating cone is solved in order to validate efficiency of the developed software. The performance of parallel computations, the speed-up and the efficiency is measured on several PC clusters as well as on the IBM SP2 supercomputer.