Parallel FEM Based on Level set Method for Free-Surface Flow using PC Cluster

Abstract This paper presents a parallel finite element method for free-surface flow based on level set method. For the stabilization technique, the SUPG/PSPG (streamline upwind /Petrov-Galerkin and pressure stabilizing / Petrov-Galerkin) is employed. The advection equation is applied to determine the distance from the interface. In order to evaluate the level set function more accurately, the re-initialization and the volume correction techniques are applied. Parallel implementation based on domain decomposition method and MPI is carried out on a PC cluster. For the mumerical example, the present method is applied to the broken-dam problem. The effect of parallelization on the efficiency of the computation is also examined.