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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| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
30 December 2023
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| In: |
International journal for numerical methods in engineering
Year: 2023, Jahrgang: 124, Heft: 24, Pages: 5446-5470 |
| ISSN: | 1097-0207 |
| DOI: | 10.1002/nme.7350 |
| Online-Zugang: | 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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| Verfasserangaben: | Michal Wichrowski, Piotr Krzyzanowski, Luca Heltai, Stanislaw Stupkiewicz |
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| 245 | 1 | 0 | |a Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems |c Michal Wichrowski, Piotr Krzyzanowski, Luca Heltai, Stanislaw Stupkiewicz |
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| 520 | |a 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. | ||
| 650 | 4 | |a ALGORITHMS | |
| 650 | 4 | |a arbitrary Lagrangian-Eulerian | |
| 650 | 4 | |a EQUATIONS | |
| 650 | 4 | |a finite element method | |
| 650 | 4 | |a FLOWS | |
| 650 | 4 | |a fluid-structure interaction | |
| 650 | 4 | |a FRAMEWORK | |
| 650 | 4 | |a geometric multigrid | |
| 650 | 4 | |a INTERFACE | |
| 650 | 4 | |a matrix-free method | |
| 650 | 4 | |a monolithic scheme | |
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