论文标题
关于流体结构相互作用中的惩罚偶性方法
About penalty-duality methods in fluid-structure interactions
论文作者
论文摘要
在流体结构的相互作用问题中，有些人使用惩罚方法将结构定位在流体内。通常是通过考虑到结构所占据的位置非常僵硬或/和/////和/非常沉重来执行此操作。这些方法对于编程的角度非常方便，但导致条件不良的操作员。这是数值解决方案方法中的缺点。特别是，由于惩罚参数（非常大的数字）出现在其表达式中，因此无法准确估计通过周围流动到结构的力。我们在本文中建议对遇到的困难进行数学分析，并讨论D. bertsekas的惩罚二偶性方法如何成为克服它们的有趣替代方法。
In fluid-structure interaction problems, some people use a penalty method for positioning the structure inside the fluid. This is usually performed by considering that the fluid is very stiff or/and very heavy at the place occupied by the structure. These methods are very convenient for the programming point of view but lead to ill conditioned operators. This is a drawback in the numerical solution methods. In particular the forces applied to the structure by the surrounding flow are not accurately estimated because the penalty parameter -- which is a very large number -- appears in their expressions. We suggest in this paper a mathematical analysis of the difficulties encountered and we discuss how the penalty-duality method of D. Bertsekas can be an interesting alternative to overcome them.
