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

Autor:	Calisti, V., Lucardesi, I., Scheid, J. -F.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.05850 Zobrazit plný text záznamu View this record from Arxiv