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Controllability Approach for a Fluid Structure Interaction Problem
Department of Mathematics, University of Thies, Thies, Senegal
- 1 Department of Mathematics, University of Thies, Thies, Senegal
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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.
KeywordsFluid Structure InteractionFinite Elements MethodControllabilityBFGS Method
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