[Simulation numérique des problèmes d'interaction fluide structure en grandes déformations]
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.
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.
Mots-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
@article{CRMECA_2005__333_12_910_0,
author = {Patrick Le Tallec and Jean-Fr\'ed\'eric Gerbeau and Patrice Hauret and Marina Vidrascu},
title = {Fluid structure interaction problems in large deformation},
journal = {Comptes Rendus. M\'ecanique},
pages = {910--922},
publisher = {Elsevier},
volume = {333},
number = {12},
year = {2005},
doi = {10.1016/j.crme.2005.10.009},
language = {en},
}
TY - JOUR AU - Patrick Le Tallec AU - Jean-Frédéric Gerbeau AU - Patrice Hauret AU - Marina Vidrascu TI - Fluid structure interaction problems in large deformation JO - Comptes Rendus. Mécanique PY - 2005 SP - 910 EP - 922 VL - 333 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2005.10.009 LA - en ID - CRMECA_2005__333_12_910_0 ER -
%0 Journal Article %A Patrick Le Tallec %A Jean-Frédéric Gerbeau %A Patrice Hauret %A Marina Vidrascu %T Fluid structure interaction problems in large deformation %J Comptes Rendus. Mécanique %D 2005 %P 910-922 %V 333 %N 12 %I Elsevier %R 10.1016/j.crme.2005.10.009 %G en %F CRMECA_2005__333_12_910_0
Patrick Le Tallec; Jean-Frédéric Gerbeau; Patrice Hauret; Marina Vidrascu. Fluid structure interaction problems in large deformation. Comptes Rendus. Mécanique, Fluid-solid interactions: modeling, simulation, bio-mechanical applications, 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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