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A Nitsche-Based Cut...
A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem
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- Massing, André (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Larson, Mats G, 1968 (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Logg, Anders, 1976 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Rognes, Marie E. (author)
- Simula Research Laboratory As
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(creator_code:org_t)
- 2015-09-04
- 2015
- English.
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In: Communications in Applied Mathematics and Computational Science. - : Mathematical Sciences Publishers. - 1559-3940 .- 2157-5452. ; 10:2, s. 97-120
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Abstract
Subject headings
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- We present a new composite mesh finite element method for fluid-structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh that is embedded into a fixed background fluid mesh. The embedding allows for an arbitrary overlap of the fluid meshes. The coupling between the embedded and background fluid meshes is enforced using a stabilized Nitsche formulation that allows us to establish stability and optimal-order a priori error estimates. We consider here a steady state fluid-structure interaction problem where a hyperelastic structure interacts with a viscous fluid modeled by the Stokes equations. We evaluate an iterative solution procedure based on splitting and present three-dimensional numerical examples.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- fluid-structure interaction
- overlapping meshes
- cut finite element method
- embedded meshes
- stabilized finite element methods
- Nitsche's method
- embedded meshes
Publication and Content Type
- ref (subject category)
- art (subject category)
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