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Sensitivity analysis for an incompressible aeroelastic 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 paper deals with problems arising in the sensitivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the incompressible Navier-Stokes equations interacting with a solid under large deformations. We obtain a linearized problem which allow us to compute the derivative of the state variable with respect to a given boundary parameter. We use a particular definition of the first-order correction for the perturbed state and consider a weak arbitrary Euler-Lagrange formulation for the coupled system.
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Submitted on : Wednesday, June 6, 2012 - 7:36:07 PM
Last modification on : Wednesday, December 9, 2020 - 3:07:55 PM

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Miguel Angel Fernández, Marwan Moubachir. Sensitivity analysis for an incompressible aeroelastic system. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2002, 12 (8), pp.1109-1130. ⟨10.1142/S0218202502002094⟩. ⟨hal-00705119⟩