论文标题
粘性不可压缩流体与不可压缩弹性结构之间的2D流体结构相互作用问题的形状灵敏度
Shape sensitivity of a 2D Fluid-Structure Interaction problem between a viscous incompressible fluid and an incompressible elastic structure
论文作者
论文摘要
我们根据浸入粘性流体的弹性结构的参考结构域的参考结构域研究了一般功能的形状不同。在具有差异性的形状扰动下，考虑到参考弹性域变化的不同性。然后，使用速度方法计算形状衍生物。该导数涉及该流体结构相互作用问题溶液的材料衍生物。伴随方法用于获得形状衍生物的简化表达式。
We study the shape differentiability of a general functional depending on the solution of a bidimensional stationary Stokes-Elasticity system, with respect to the reference domain of the elastic structure immersed in a viscous fluid. The differentiability with respect to reference elastic domain variations are considered under shape perturbations with diffeomorphisms. The shape-derivative is then calculated with the use of the velocity method. This derivative involves the material derivatives of the solution of this Fluid-Structure Interaction problem. The adjoint method is used to obtain a simplified expression for the shape derivative.
