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.
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Aprovitola, A., D’Ambra, P., di Serafino, D., Filippone, S. (2010). On the Use of Aggregation-Based Parallel Multilevel Preconditioners in the LES of Wall-Bounded Turbulent Flows. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2009. Lecture Notes in Computer Science, vol 5910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12535-5_6
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DOI: https://doi.org/10.1007/978-3-642-12535-5_6
Publisher Name: Springer, Berlin, Heidelberg
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