High Performance Computing of Three-Dimensional Finite Element Codes on a ۶۴-bit Machine

Three dimensional Navier-Stokes finite element formulations require huge computational power in terms of memory and CPU time. Recent developments in sparse direct solvers have significantly reduced the memory and computational time of direct solution methods. The objective of this study is twofold. First is to evaluate the performance of various state-of-the-art sequential sparse direct solvers in the context of finite element formulation of fluid flow problems. Second is to examine the merit in upgrading from ۳۲ bit machine to a ۶۴ bit machine with larger RAM capacity in terms of its capacity to solve larger problems. The choice of a direct solver is dependent on its computational time and its in-core memory requirements. Here four different solvers, UMFPACK, MUMPS, HSL_MA۷۸ and PARDISO are compared. The performances of these solvers with respect to the computational time and memory requirements on a ۶۴-bit windows server machine with ۱۶GB RAM is evaluated.

Keywords:

Multifrontal , UMFPACK , MUMPS , HSL MA۷۸ , ۶۴ , PARDISO , bit