Comparative Analysis of High Performance Solvers for Solving Stokes Equation

We consider the time dependent Stokes equation on a finite time interval and on a uniform rectangular mesh, written in terms of velocity and pressure. A parallel algorithm, based on a direction splitting approach is implemented. We are targeting the massively parallel computer as well as clusters consisting of many-core nodes. The implementation was tested on the IBM Blue Gene/P supercomputer and two Linux clusters. We compared the results from the direction splitting algorithm with the results from a state-of-the-art Finite Element software package for solving of Stokes equation.