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2016 | OriginalPaper | Chapter

Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction

Authors : Alexander Heinlein, Axel Klawonn, Oliver Rheinbach

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2015

Publisher: Springer International Publishing

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Abstract

Parallel overlapping Schwarz preconditioners are considered and applied to the structural block in monolithic fluid-structure interaction (FSI). The two-level overlapping Schwarz method uses a coarse level based on energy minimizing functions. Linear elastic as well as nonlinear, anisotropic hyperelastic structural models are considered in an FSI problem of a pressure wave in a tube. Using our recent parallel implementation of a two-level overlapping Schwarz preconditioner based on the Trilinos library, the total computation time of our FSI benchmark problem was reduced by more than a factor of two compared to the algebraic one-level overlapping Schwarz method used previously. Finally, also strong scalability for our FSI problem is shown for up to 512 processor cores.

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Metadata
Title
Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction
Authors
Alexander Heinlein
Axel Klawonn
Oliver Rheinbach
Copyright Year
2016
Book
Numerical Mathematics and Advanced Applications ENUMATH 2015

Print ISBN: 978-3-319-39927-0

Electronic ISBN: 978-3-319-39929-4

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-39929-4_50

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