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.
Fichier principal
ShapeSensitivity_Calisti_Lucardesi_Scheid_7_10_2022.pdf (535.48 Ko)
Télécharger le fichier
Origine | Fichiers produits par l'(les) auteur(s) |
---|