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A partition of unit...
A partition of unity approach to fluid mechanics and fluid-structure interaction
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- Balmus, Maximilian (författare)
- Kings Coll London, Kings Hlth Partners, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, London SE1 7EH, England.
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- Massing, André, 1977- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway,Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden.;Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway.
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- Hoffman, Johan, 1974- (författare)
- KTH,Numerisk analys, NA
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- Razavi, Reza (författare)
- Kings Coll London, Kings Hlth Partners, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, London SE1 7EH, England.
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- Nordsletten, David A. (författare)
- Kings Coll London, Kings Hlth Partners, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, London SE1 7EH, England.;Univ Michigan, Dept Biomed Engn & Cardiac Surg, Ann Arbor, MI 48109 USA.
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Kings Coll London, Kings Hlth Partners, Sch Imaging Sci & Biomed Engn, Dept Biomed Engn, London SE1 7EH, England Institutionen för matematik och matematisk statistik (creator_code:org_t)
- ELSEVIER SCIENCE SA, 2020
- 2020
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : ELSEVIER SCIENCE SA. - 0045-7825 .- 1879-2138. ; 362
- Relaterad länk:
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https://www.ncbi.nlm...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- For problems involving large deformations of thin structures, simulating fluid-structure interaction (FSI) remains a computationally expensive endeavour which continues to drive interest in the development of novel approaches. Overlapping domain techniques have been introduced as a way to combine the fluid-solid mesh conformity, seen in moving-mesh methods, without the need for mesh smoothing or re-meshing, which is a core characteristic of fixed mesh approaches. In this work, we introduce a novel overlapping domain method based on a partition of unity approach. Unified function spaces are defined as a weighted sum of fields given on two overlapping meshes. The method is shown to achieve optimal convergence rates and to be stable for steady-state Stokes, Navier-Stokes, and ALE Navier-Stokes problems. Finally, we present results for FSI in the case of 2D flow past an elastic beam simulation. These initial results point to the potential applicability of the method to a wide range of FSI applications, enabling boundary layer refinement and large deformations without the need for re-meshing or user-defined stabilization.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Finite element methods
- Fluid-structure interaction
- Overlapping domains
- Partition of unity
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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