Investigation of sensivity analysis for a fluid-structure interaction system

Miguel Angel Fernández 1 Marwan Moubachir 2
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
2 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : This Note deals with problems arising in the sensivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the Navier-Stokes equations interacting with a solid under large deformations. We show how to obtain the linearized problem satisfied by the derivative of the state variable with respect to a given boundary parameter. This is done by using a particular def inition of the first-order correction for the perturbed state and by considering the weak Arbitrary Eulerian Lagrangian formulation for the coupled system.
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Submitted on : Wednesday, June 6, 2012 - 7:30:22 PM
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Miguel Angel Fernández, Marwan Moubachir. Investigation of sensivity analysis for a fluid-structure interaction system. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2001, 333 (5), pp.487-492. ⟨10.1016/S0764-4442(01)02081-X⟩. ⟨hal-00705116⟩

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