Advances in Embedded Interface Methods
A three-field stabilized finite element method for fluid-structure interaction: elastic solid and rigid body limit
E. Hachem,
S. Feghali,
T. Coupez,
R. Codina,
Corresponding Author
E. Hachem
Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS, Sophia Antipolis, 7635 France
Correspondence to: E. Hachem, Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS 7635, Sophia Antipolis, France.
E-mail: [email protected]
Search for more papers by this authorS. Feghali
Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS, Sophia Antipolis, 7635 France
Search for more papers by this authorT. Coupez
Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS, Sophia Antipolis, 7635 France
Search for more papers by this authorR. Codina
Universitat Politècnica de Catalunya (UPC), Jordi Girona 1-3, Barcelona, 08034 Spain
Search for more papers by this authorE. Hachem,
S. Feghali,
T. Coupez,
R. Codina,
Corresponding Author
E. Hachem
Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS, Sophia Antipolis, 7635 France
Correspondence to: E. Hachem, Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS 7635, Sophia Antipolis, France.
E-mail: [email protected]
Search for more papers by this authorS. Feghali
Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS, Sophia Antipolis, 7635 France
Search for more papers by this authorT. Coupez
Center for Material Forming (CEMEF), MINES ParisTech, UMR CNRS, Sophia Antipolis, 7635 France
Search for more papers by this authorR. Codina
Universitat Politècnica de Catalunya (UPC), Jordi Girona 1-3, Barcelona, 08034 Spain
Search for more papers by this authorSummary
We propose a full Eulerian framework for solving fluid-structure interaction (FSI) problems based on a unified formulation in which the FSIs are modelled by introducing an extra stress in the momentum equation. The obtained three-field velocity, pressure and stress system is solved using a stabilized finite element method. The key feature of this unified formulation is the ability to describe different kind of interactions between the fluid and the structure, which can be either elastic or a perfect rigid body, without the need of treating this last case via penalization. The level-set method combined with a dynamic anisotropic mesh adaptation is used to track the fluid-solid interface. Copyright © 2015 John Wiley & Sons, Ltd.
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