[A HPF application to parallelize a 2-D PDE model].

Abstract

Many practical numerical applications would require a parallel implementation in order to obtain a satisfactory response in a reasonable amount of time. In this sense, this work shows a parallel implementation of an explicit scheme of finite difference (FD) proposed by Kelly et. al., to solve the Partial Differential Equation (PDE / EDDP) of the Wave Propagation problem in an elastic, homogeneous or heterogeneous, two-dimensional medium. High-Performance-Fortran (HPF) will be used here for this purpose. This report shows measures of time on a PC-Cluster using 1, 2, and 4 processors with different sizes of data grid. In addition, a comparative test is included in which the cluster was initially connected using a Fast-Ethernet card, and then connected by a Myrinet card, using a grid size of 2500 x 2500 in both cases. The execution time achieved with two processors was highly satisfactory for all cases. In analogous conditions, the performance obtained with a Myrinet interconnection was better than the one obtained with a Fast-Ethernet interconnection. The scheme mentioned above has showed an excellent numerical result as it could be seen on the images included in this work. Key words: Partial differential equation, wave equation, explicite finite differences scheme, parallel scheme.