Abstract
The ideas of parallelism for the large scale problems or problems with dense meshes have gained much attention in last few decades. The key goal of applying the parallelization is to reduce the computational time. In this paper; the 2D finite difference mesh partitioning schemes and their effect on performance of parallel numerical solution is evaluated. The main objective was to investigate the mesh partitioning schemes for less computational time and high speedup. For testing and implementation purpose a 2D electrostatics Poisson’s equation with Dirichlet and Neumann boundary conditions applied on a 2D cross section of Electrohydrodynamic (EHD) planar ion-drag micropump is used to simulate the electric potential and electric field on a parallel system. The performance of the 7 different mesh partitioning schemes (PS) in terms of computational time, speedup, efficiency and communication cost was evaluated. It was revealed that among the seven different partitioning schemes the PS-3 (two-way or tile partitioning) is found the best scheme for the parallel numerical simulation of the problem. Moreover, the parallel algorithm remains more efficient on \(P=2\) to \(P=8 \) workers while for \(P>8\) the efficiency of the algorithm may drop because of the high communication time.