Parallel FEM based on level set method for free-surface flow using PC cluster

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 numerical example, the Present method is applied to the broken-dam problem. The effect of parallelization on the efficiency of the computation is also examined.