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Investigation of sensitivity analysis for fluid-structure interaction systems

机译:流体结构相互作用系统敏感性分析研究

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This article deals with problems arising in the sensitivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the Navier-Stokes equation interacting with a solid under large deformations. We show how to obtain the linearized problem satisfied by the derivative of the state variable with respect to a given boundary parameter. This is done by using a particular definition of the first-order correction for the perturbed state and by considering the weak Arbitrary Eulerian Lagrangian formulation for the coupled system.
机译:本文涉及流体结构相互作用系统的灵敏度分析中产生的问题。我们的模型包括由Navier-Stokes方程描述的流体与在大变形下的固体相互作用。我们展示了如何在给定边界参数上获取状态变量的导数满足的线性化问题。这是通过使用对扰动状态的一阶校正的特定定义来完成的,并且考虑耦合系统的弱任意欧拉拉格朗日配方。

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