GPU Parallelization of Solving Pressure Poisson Equation in MPS Method

Abstract

In this paper, the explicit solving of pressure Poisson equation and GPU parallelization were employed to improve the efficiency of MPS method, which is one of the mainstream particle methods. The performance of the explicit GPU parallel MPS method is discussed using two-dimensional dam-break and sloshing problems. The reliability and accuracy of the developed algorithm were validated against the results of traditional implicit solving method (based on GMRES) and experiment. In terms of efficiency improvement, compared with the traditional CPU-based serial solver, the explicit GPU-parallelized algorithm greatly reduces the computational time of the pressure Poisson equation. More specifically, the maximum acceleration ratios of 11.486 and 13.89 can be obtained by numerical simulation for 2D dam-break and sloshing problems with different particle numbers.