On parallel pre-conditioners for pressure Poisson equation in LES of Complex Geometry Flows
International Journal for Numerical Methods in Fluids
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This paper presents an assessment of fast parallel pre-conditioners for numerical solution of the pressure Poisson equation arising in large eddy simulation of turbulent incompressible flows. Focus is primarily on the pre-conditioners suitable for domain decomposition based parallel implementation of finite volume solver on non-uniform structured Cartesian grids. Bi-conjugate gradient stabilized (BICGSTAB) method has been adopted as the Krylov solver for the linear algebraic system resulting from the discretization of the pressure Poisson equation. We explore the performance of multigrid pre-conditioner for the non-uniform grid and compare its performance with additive Schwarz pre-conditioner, Jacobi and SOR(k) pre-conditioners. Numerical experiments have been performed to assess the suitability of these pre-conditioners for a wide range of nonuniformity (stretching) of the grid in the context of LES of a typical flow problem. It is seen that the multigrid preconditioner shows the best performance. Further, the SOR(k) preconditioner emerges as the next best alternative.