CFC2023

Parallel Domain Decomposition Preconditioning Techniques for Incompressible Fluid Flow Problems

Heinlein, Alexander (Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, Netherlands)
Klawonn, Axel (Department of Mathematics and Computer Science, University of Cologne, Weyertal 86-90, 50931 Köln, Germany)
Saßmannshausen, Lea (Department of Mathematics and Computer Science, University of Cologne, Weyertal 86-90, 50931 Köln, Germany)

In session: MS4-03A - Modern numerical methods and simulation techniques for complex flow problems

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Monolithic GDSW (generalized Dryja–Smith–Widlund) preconditioners are two-level Schwarz domain decomposition preconditioners for block systems. They are robust because they account for the coupling terms in the system matrix on both levels, that is, in the local and coarse problems. Block preconditioners, mostly based on block-diagonal and block-triangular preconditioners, such as the famous SIMPLE (semi-implicit method for pressure linked equations) preconditioner, often yield higher iteration counts wile coming at a lower setup cost compared to monolithic approaches. In this talk, the parallel performance of the different preconditioning techniques for incompressible fluid flow problems is investigated and compared using a finite element implementation based on the FEDDLib finite element software and Schwarz preconditioners from the Trilinos package FROSch.