Parallel implementation of the EFG Method for heat transfer and fluid flow problems

Abstract

The parallel implementation of the element free Galerkin (EFG) method for heat transfer and fluid flow problems on MIMD type parallel computer is treated. A new parallel algorithm has been proposed in which parallelization is performed by row-wise data distribution among the processors. The codes have been developed in FORTRAN language using MPI message passing library. Two model (one each in heat transfer and fluid flow) problems have been solved to validate the proposed algorithm. The total time, communication time, user time, speedup and efficiency have been estimated for heat transfer and fluid flow problems. For eight processors, the speedup and efficiency are obtained to be 7.11 and 88.87% respectively in heat transfer problems for a data size of N=2,116 whereas 7.20 and 90.04% respectively in fluid flow problems for a data size of N=2,378.