TITLE:
Controllability Approach for a Fluid Structure Interaction Problem
AUTHORS:
Ibrahima Mbaye
KEYWORDS:
Fluid Structure Interaction; Finite Elements Method; Controllability; BFGS Method
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.3,
March
27,
2012
ABSTRACT: The present paper presents a new method to solve fluid structure interaction problem. Our computational method is based on controllability approach. Given a target structural displacement we will find a control steering the displacement of the structure u to . We need to define a payoff functional (J):
where u solves the structure equation for the control and is a fixed value. Our aim is to find a control which minimizes the payoff criterion. And therefore we find u the beam displacement, v the velocity of the fluid and p the pressure of the fluid.