Solving the Poisson Equation with Multigrid Methods

Abstract

This paper reports the implementation of a full multigrid method for the solution of pressure like 3D Poisson equations for control volume discretization over structured grids. The method was tested on a four level 40x40x40 nodes grid and converges to L2 ˜ 10(-5) for the residual. The implementation is faster than the SIPSOL method used as a smoother, although there is space for performance improvements.