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A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem

Journal article
Authors Andre Massing
Mats G. Larson
Anders Logg
Marie E. Rognes
Published in Communications in Applied Mathematics and Computational Science
Volume 10
Issue 2
Pages 97-120
ISSN 1559-3940
Publication year 2015
Published at Department of Mathematical Sciences, Mathematics
Pages 97-120
Language en
Links dx.doi.org/10.2140/camcos.2015.10.9...
Keywords fluid-structure interaction, overlapping meshes, cut finite element method, embedded meshes, stabilized finite element methods, Nitsche's method
Subject categories Computational Mathematics

Abstract

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.

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Denna text är utskriven från följande webbsida:
http://gu.se/english/research/publication/?publicationId=222107
Utskriftsdatum: 2019-12-13