Shape sensitivity analysis of a 2D fluid-structure interaction problem

0576358 - MÚ 2024 RIV DE eng J - Journal Article
Calisti, Valentin - Lucardesi, I. - Scheid, J.-F.
Shape sensitivity analysis of a 2D fluid-structure interaction problem.
Journal of Optimization Theory and Applications. Roč. 199, č. 1 (2023), s. 36-79. ISSN 0022-3239. E-ISSN 1573-2878
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : fluid-structure system * shape optimisation * shape sensitivity
OECD category: Pure mathematics
Impact factor: 1.9, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s10957-023-02213-4

We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-elasticity system with small loads, with respect to the reference domain of the elastic structure immersed in a viscous fluid. The differentiability with respect to reference elastic domain variations is 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 then used to obtain a simplified expression for the shape derivative.
Permanent Link: https://hdl.handle.net/11104/0345927