Nitsche's method combined with space–time finite elements for ALE fluid–structure interaction problems

We propose a weak method for handling the fluid–structure interface in finite element fluid–structure interaction based on Nitsche's method [Abh. Math. Univ. Hamburg 36 (1971) 9]. We assume transient incompressible Newtonian flow and, for the structure, undamped linear elasticity. For the time-...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 193; no. 39; pp. 4195 - 4206
Main Authors:	Hansbo, Peter, Hermansson, Joakim, Svedberg, Thomas
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.10.2004
Subjects:	Fluid–structure interactions Nitsche's method Space–time finite elements Fluid–structure interactions Nitsche's method Space–time finite elements
ISSN:	0045-7825, 1879-2138, 1879-2138
Online Access:	Get full text
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Summary:	We propose a weak method for handling the fluid–structure interface in finite element fluid–structure interaction based on Nitsche's method [Abh. Math. Univ. Hamburg 36 (1971) 9]. We assume transient incompressible Newtonian flow and, for the structure, undamped linear elasticity. For the time-discretization, we use the time-continuous (energy conserving) Galerkin method for the structure, and for the fluid we employ the time-discontinuous Galerkin method. This means that the velocity becomes piecewise constant on each timestep for the fluid, matching the time-derivative of the displacements in the solid which is also piecewise constant over a time step. We formulate the method and report some numerical examples using space–time oriented elements for the fluid in order to mimic Lagrangian or ALE-type simulations.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7825 1879-2138 1879-2138
DOI:	10.1016/j.cma.2003.09.029