High-Speed Finite-Element Method with Selective-Element Iteration

Abstract

The conventional SOR method includes a recursive reference, so it is not suitable for modern vector-parallel computers. It is difficult to avoid the recursive reference, especially in the case where are SOR method with unstructured computational grids is used. In this paper, the multi-color method, which avoids the recursive reference, is expanded to the unstructured computational grids as the expansion multi-color method. When we use the irregular mesh in the GSMAC method, the increasing of iteration is caused especially in the domain of fine grids. In order to resolve this problem, the selective simultaneous relaxation method which corresponds on an error criterion of the equation of continuity is presented. Unsteady flows in a two-dimensional lid-driven square cavity at Re=1000 are numerically investigated to verify the present numerical method.