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Article Dans Une Revue Journal of Optimization Theory and Applications Année : 2023

Shape sensitivity analysis of a 2D Fluid-Structure Interaction problem

Résumé

We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-Elasticity system, with respect to the reference domain of the elastic structure immersed in a viscous fluid. The differentiability with respect to reference elastic domain variations are considered under shape perturbations with diffeomorphisms. The shape-derivative is then calculated with the use of the velocity method. This derivative involves the material derivatives of the solution of this Fluid-Structure Interaction problem. The adjoint method is used to obtain a simplified expression for the shape derivative.
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Dates et versions

hal-03810334 , version 1 (11-10-2022)
hal-03810334 , version 2 (17-03-2023)

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V Calisti, Ilaria Lucardesi, Jean-Francois Scheid. Shape sensitivity analysis of a 2D Fluid-Structure Interaction problem. Journal of Optimization Theory and Applications, 2023, 199, pp.36-79. ⟨10.1007/s10957-023-02213-4⟩. ⟨hal-03810334v2⟩
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