Comptes Rendus
Fluid–solid interactions: modeling, simulation, bio-mechanical applications
Fluid structure interaction problems in large deformation
Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 910-922.

The present article deals with the simulation of fluid structure interaction problems in large deformation, and discusses two aspects of their numerical solution: (i) the derivation of energy conserving time integration schemes in presence of fluid structure coupling, moving grids, and nonlinear kinematic constraints such as incompressibility and contact, (ii) the introduction of adequate preconditioners efficiently chaining local fluid and structure solvers. Solutions are proposed, analyzed and tested using nonlinear energy correcting terms, and added mass based Dirichlet Neumann preconditioners. Numerical applications include nonlinear impact problems in elastodynamics and blood flows predictions within flexible arteries.

Du fait des fortes nonlinéarités du problème posé, la simulation de phénomènes d'interaction fluide structure en grands déplacements et vitesses modérées conduit à plusieurs difficultés numériques : respect numérique des mécanismes de conservation d'énergie dans le traitement des grilles mobiles, des forces de raideur, de la synchronisation des forces de contact et d'interface d'une part, construction de préconditionneurs adaptés permettant l'utilisation efficace d'algorithmes de couplage résolvant de manière successive et découplée les parties fluide et structure, d'autre part.

Published online:
DOI: 10.1016/j.crme.2005.10.009
Keywords: Computational fluid mechanics, Nonlinear elastodynamics, Time integration, Energy conservation, Fluid structure interaction, Added mass, Preconditioner
Mot clés : Mécanique des fluides numérique, Élastodynamique nonlinéaire, Intégration en temps, Conservation de l'énergie, Interaction fluide structure, Masse ajoutée, Préconditionneur

Patrick Le Tallec 1; Jean-Frédéric Gerbeau 2; Patrice Hauret 3; Marina Vidrascu 2

1 École polytechnique, 91128 Palaiseau cedex, France
2 INRIA Rocquencourt, B.P. 105, 78153 Le Chesnay cedex, France
3 Graduate Aeronautical Labs, California Institute of Technology, 1200 E California Blvd, Pasadena, CA 91125, USA
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Patrick Le Tallec; Jean-Frédéric Gerbeau; Patrice Hauret; Marina Vidrascu. Fluid structure interaction problems in large deformation. Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 910-922. doi : 10.1016/j.crme.2005.10.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.10.009/

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