Numerical simulation of fluid structure interaction benchmark problem with BFGS method

Abstract

The aim of this paper is to propose a numerical simulation of fluid structure interaction problem with BFGS method. Thus, fluid flow is governed by the incompressible newtonian steady stokes equations and we consider an elastic structure from the static theory of linear elasticity. Moreover, the finite element method is used for the fluid and the structure. Thereby, this paper shows that the benchmark problems can be simulated using an optimization method according the numerical results.Mathematics Subject Classification: 64F10, 65N06, 65N30, 65N12