Investigation of sensitivity analysis for fluid-structure interaction systems

摘要

This article deals with problems arising in the sensitivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the Navier-Stokes equation interacting with a solid under large deformations. We show how to obtain the linearized problem satisfied by the derivative of the state variable with respect to a given boundary parameter. This is done by using a particular definition of the first-order correction for the perturbed state and by considering the weak Arbitrary Eulerian Lagrangian formulation for the coupled system.