Parallel two-level overlapping Schwarz methods in fluid-structure interaction

Alexander Heinlein; Axel Klawonn; Oliver Rheinbach

doi:10.1007/978-3-319-39929-4_50

Parallel two-level overlapping Schwarz methods in fluid-structure interaction

Alexander Heinlein^*, Axel Klawonn, Oliver Rheinbach

^*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

8 Citations (Scopus)

Abstract

Parallel overlapping Schwarz preconditioners are considered and applied to the structural block in monolithic fluid-structure interaction (FSI). The twolevel 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 onelevel overlapping Schwarz method used previously. Finally, also strong scalability for our FSI problem is shown for up to 512 processor cores.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2015
Editors	Murat Manguoglu, Bulent Karasozen, Munevver Tezer-Sezgin, Omur Ugur, Munevver Tezer-Sezgin, Murat Manguoglu, Omur Ugur, Serdar Goktepe, Omur Ugur, Munevver Tezer-Sezgin, Murat Manguoglu, Bulent Karasozen, Bulent Karasozen, Serdar Goktepe, Serdar Goktepe
Publisher	Springer
Pages	521-530
Number of pages	10
ISBN (Print)	9783319399270, 9783319399270, 9783319399270
DOIs	https://doi.org/10.1007/978-3-319-39929-4_50
Publication status	Published - 2016
Externally published	Yes
Event	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015 - Ankara, Turkey Duration: 14 Sept 2015 → 18 Sept 2015

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	112
ISSN (Print)	1439-7358

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015
Country/Territory	Turkey
City	Ankara
Period	14/09/15 → 18/09/15

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10.1007/978-3-319-39929-4_50

Cite this

Heinlein, A., Klawonn, A., & Rheinbach, O. (2016). Parallel two-level overlapping Schwarz methods in fluid-structure interaction. In M. Manguoglu, B. Karasozen, M. Tezer-Sezgin, O. Ugur, M. Tezer-Sezgin, M. Manguoglu, O. Ugur, S. Goktepe, O. Ugur, M. Tezer-Sezgin, M. Manguoglu, B. Karasozen, B. Karasozen, S. Goktepe, & S. Goktepe (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2015 (pp. 521-530). (Lecture Notes in Computational Science and Engineering; Vol. 112). Springer. https://doi.org/10.1007/978-3-319-39929-4_50

Heinlein, Alexander ; Klawonn, Axel ; Rheinbach, Oliver. / Parallel two-level overlapping Schwarz methods in fluid-structure interaction. Numerical Mathematics and Advanced Applications ENUMATH 2015. editor / Murat Manguoglu ; Bulent Karasozen ; Munevver Tezer-Sezgin ; Omur Ugur ; Munevver Tezer-Sezgin ; Murat Manguoglu ; Omur Ugur ; Serdar Goktepe ; Omur Ugur ; Munevver Tezer-Sezgin ; Murat Manguoglu ; Bulent Karasozen ; Bulent Karasozen ; Serdar Goktepe ; Serdar Goktepe. Springer, 2016. pp. 521-530 (Lecture Notes in Computational Science and Engineering).

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title = "Parallel two-level overlapping Schwarz methods in fluid-structure interaction",

abstract = "Parallel overlapping Schwarz preconditioners are considered and applied to the structural block in monolithic fluid-structure interaction (FSI). The twolevel 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 onelevel overlapping Schwarz method used previously. Finally, also strong scalability for our FSI problem is shown for up to 512 processor cores.",

author = "Alexander Heinlein and Axel Klawonn and Oliver Rheinbach",

year = "2016",

doi = "10.1007/978-3-319-39929-4_50",

language = "English",

isbn = "9783319399270",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer",

pages = "521--530",

editor = "Murat Manguoglu and Bulent Karasozen and Munevver Tezer-Sezgin and Omur Ugur and Munevver Tezer-Sezgin and Murat Manguoglu and Omur Ugur and Serdar Goktepe and Omur Ugur and Munevver Tezer-Sezgin and Murat Manguoglu and Bulent Karasozen and Bulent Karasozen and Serdar Goktepe and Serdar Goktepe",

booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2015",

note = "European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015 ; Conference date: 14-09-2015 Through 18-09-2015",

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Heinlein, A, Klawonn, A & Rheinbach, O 2016, Parallel two-level overlapping Schwarz methods in fluid-structure interaction. in M Manguoglu, B Karasozen, M Tezer-Sezgin, O Ugur, M Tezer-Sezgin, M Manguoglu, O Ugur, S Goktepe, O Ugur, M Tezer-Sezgin, M Manguoglu, B Karasozen, B Karasozen, S Goktepe & S Goktepe (eds), Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol. 112, Springer, pp. 521-530, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015, Ankara, Turkey, 14/09/15. https://doi.org/10.1007/978-3-319-39929-4_50

Parallel two-level overlapping Schwarz methods in fluid-structure interaction. / Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver.
Numerical Mathematics and Advanced Applications ENUMATH 2015. ed. / Murat Manguoglu; Bulent Karasozen; Munevver Tezer-Sezgin; Omur Ugur; Munevver Tezer-Sezgin; Murat Manguoglu; Omur Ugur; Serdar Goktepe; Omur Ugur; Munevver Tezer-Sezgin; Murat Manguoglu; Bulent Karasozen; Bulent Karasozen; Serdar Goktepe; Serdar Goktepe. Springer, 2016. p. 521-530 (Lecture Notes in Computational Science and Engineering; Vol. 112).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Parallel two-level overlapping Schwarz methods in fluid-structure interaction

AU - Heinlein, Alexander

AU - Klawonn, Axel

AU - Rheinbach, Oliver

PY - 2016

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N2 - Parallel overlapping Schwarz preconditioners are considered and applied to the structural block in monolithic fluid-structure interaction (FSI). The twolevel 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 onelevel overlapping Schwarz method used previously. Finally, also strong scalability for our FSI problem is shown for up to 512 processor cores.

AB - Parallel overlapping Schwarz preconditioners are considered and applied to the structural block in monolithic fluid-structure interaction (FSI). The twolevel 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 onelevel 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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A2 - Ugur, Omur

A2 - Goktepe, Serdar

A2 - Ugur, Omur

A2 - Tezer-Sezgin, Munevver

A2 - Manguoglu, Murat

A2 - Karasozen, Bulent

A2 - Goktepe, Serdar

PB - Springer

T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015

Y2 - 14 September 2015 through 18 September 2015

ER -

Heinlein A, Klawonn A, Rheinbach O. Parallel two-level overlapping Schwarz methods in fluid-structure interaction. In Manguoglu M, Karasozen B, Tezer-Sezgin M, Ugur O, Tezer-Sezgin M, Manguoglu M, Ugur O, Goktepe S, Ugur O, Tezer-Sezgin M, Manguoglu M, Karasozen B, Karasozen B, Goktepe S, Goktepe S, editors, Numerical Mathematics and Advanced Applications ENUMATH 2015. Springer. 2016. p. 521-530. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-39929-4_50

Parallel two-level overlapping Schwarz methods in fluid-structure interaction

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