Controllability Approach for a Fluid Structure Interaction Problem

• 作者: Ibrahima Mbaye
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: FLUID Structure Interaction FINITE Elements METHOD CONTROLLABILITY BFGS METHOD
• 年，卷（期）: yysxyw_2012,（3）
• 页码范围: 213-216
• 页数: 4页
• 分类号: O1

摘要

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.