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Modélisation, analyse mathématique et applications numériques de problèmes d'interaction fluide-structure instationnaires

Abstract : In this work, we consider unsteady problems in fluid-structure interaction in a two-dimensional framework. First, we study existence and uniqueness of solutions for an elasticity problem in large displacement and small strain. We then insert this structure model in a coupled system with a viscous fluid: we prove existence of solutions for this problem. Furthermore, we consider fluid-structure interaction problems in the aim of numerical applications. This work is motivated by blood flows in an artificial heart ventricle. We apply two different approaches: the first one with a simplified ALE method, and the second one by using the immersed boundary method. For this last study, we deal with an optimal control problem by means of a feedback.
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https://tel.archives-ouvertes.fr/tel-00002900
Contributor : Paul Metier <>
Submitted on : Tuesday, May 27, 2003 - 5:06:26 PM
Last modification on : Wednesday, December 9, 2020 - 3:04:56 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:09:42 PM

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  • HAL Id : tel-00002900, version 1

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Paul Metier. Modélisation, analyse mathématique et applications numériques de problèmes d'interaction fluide-structure instationnaires. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2003. Français. ⟨tel-00002900⟩

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