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Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems

In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid-structure interaction problems using a matrix-free finite element method in arbitrary Lagrangian-Eulerian frame of reference. We derive a semi-implicit time integration scheme which improves the geometr...

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Bibliographic Details
Main Authors: Wichrowski, Michał (Author) , Krzyzanowski, Piotr (Author) , Heltai, Luca (Author) , Stupkiewicz, Stanisław (Author)
Format: Article (Journal)
Language:English
Published: 30 December 2023
In: International journal for numerical methods in engineering
Year: 2023, Volume: 124, Issue: 24, Pages: 5446-5470
ISSN:1097-0207
DOI:10.1002/nme.7350
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1002/nme.7350
Verlag, lizenzpflichtig, Volltext: https://www.webofscience.com/api/gateway?GWVersion=2&SrcAuth=DynamicDOIArticle&SrcApp=WOS&KeyAID=10.1002%2Fnme.7350&DestApp=DOI&SrcAppSID=EUW1ED0DD1RxP4IwcUPAmbLzeVmBY&SrcJTitle=INTERNATIONAL+JOURNAL+FOR+NUMERICAL+METHODS+IN+ENGINEERING&DestDOIRegistrantName=Wiley+%28John+Wiley+%26+Sons%29
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Author Notes:Michal Wichrowski, Piotr Krzyzanowski, Luca Heltai, Stanislaw Stupkiewicz
Description
Summary:In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid-structure interaction problems using a matrix-free finite element method in arbitrary Lagrangian-Eulerian frame of reference. We derive a semi-implicit time integration scheme which improves the geometry-convective explicit scheme for problems involving the interaction between incompressible hyperelastic solids and incompressible fluids. The proposed algorithm relies on the reformulation of the time-discrete problem as a generalized Stokes problem with strongly variable coefficients, for which optimal preconditioners have recently been developed. The resulting algorithm is scalable, optimal, and robust: we test our implementation on model problems that mimic classical Turek-Hron benchmarks in two and three dimensions, and investigate timing and scalability results.
Item Description:Online veröffentlicht: 12. September 2023
Gesehen am 27.05.2024
Physical Description:Online Resource
ISSN:1097-0207
DOI:10.1002/nme.7350

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