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Pré-Publication, Document De Travail Année : 2022

Shape sensitivity of a 2D fluid-structure interaction problem between a viscous incompressible fluid and an incompressible elastic structure

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)

Identifiants

  • HAL Id : hal-03810334 , version 1

Citer

V Calisti, I Lucardesi, J-F Scheid. Shape sensitivity of a 2D fluid-structure interaction problem between a viscous incompressible fluid and an incompressible elastic structure. 2022. ⟨hal-03810334v1⟩
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