Scalable Distributed Schur Complement Methods for CFD Simulation on Many-Core Architectures

Abstract

At the German Aerospace Center (DLR), the parallel simulation systems TAU and TRACE have been developed for the aerodynamic design of aircrafts or turbines for jet engines. Large-scale computing resources allow more detailed numerical investigations with bigger numerical configurations. Up to 50 million grid points in a single simulation are becoming a standard configuration in the industrial design. Both CFD solvers, TAU and TRACE, require the parallel solution of large, sparse real or complex systems of linear equations. For the parallel iterative solution of sparse equation systems to be solved within the TAU or TRACE solvers, FGMRes with Distributed Schur Complement (DSC) preconditioning for real or complex matrix problems has been investigated. In this paper, we particularly discuss numerical and performance results of DSC methods for typical TAU and TRACE CFD problems on many-core architectures.