On the use of aggregation-based parallel multilevel preconditioners in the LES of wall-bounded turbulent flows

Authors:
Andrea Aprovitola;Pasqua D'Ambra;Daniela di Serafino;Salvatore Filippone
Affiliations:
Engine Institute (IM) — CNR, Naples, Italy;Institute for High-Performance Computing and Networking (ICAR) — CNR, Naples, Italy;Department of Mathematics, Second University of Naples, Caserta, Italy;Department of Mechanical Engineering, University of Rome Tor Vergata, Rome, Italy
Venue:
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Year:
2009

Citing 7
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Abstract

This work is concerned with the application of algebraic multilevel preconditioners in the solution of pressure linear systems arising in the large eddy simulation of turbulent incompressible flows in wall-bounded domains These systems, coming from the discretization of elliptic equations with periodic and Neumann boundary conditions, are large and sparse, singular, compatible, and nonsymmetric because of the use of non-uniform grids taking into account the anisotropy of the flow Furthermore, they generally account for a large part of the simulation time We analyse, through numerical experiments, the effectiveness of parallel algebraic multilevel Schwarz preconditioners, based on the smoothed aggregation technique, in the iterative solution of the above pressure systems We also investigate the behaviour of a variant of the smoothed aggregation technique, recently developed to efficiently deal with nonsymmetric systems.