The application of modern topology optimization techniques to single physics systems has seen great advances in the last three decades. However, the application of these tools to sophisticated multiphysics systems such as fluid-structure interactions is still lagging behind, mainly due to the multidisciplinary and complex nature of such systems. In this work, we implement topology optimization of high-fidelity, fully-coupled fluid-structure interaction problems with large deformations. We use the arbitrary Lagrangian-Eulerian approach to deform the fluid mesh as a pseudo-structural system such that structural deformations are completely reflected in the fluid flow mesh. The fluid-structure interaction problem is formulated using the three-field formulation and the sensitivity analysis is derived using the discrete adjoint approach. We show through numerical examples the effect of the projection and interpolation parameters on the convergence and topology of the optimized designs and demonstrate the effect of considering the structural deformations in the fluid mesh.

翻译：现代拓扑优化技术在单一物理系统中的应用在过去三十年中取得了巨大进展。然而，这些工具在复杂多物理系统（如流固耦合）中的应用仍相对滞后，这主要归因于此类系统的多学科性和复杂性。本文针对高保真、完全耦合的流固耦合大变形容问题实现了拓扑优化。我们采用任意拉格朗日-欧拉方法将流体网格视为伪结构体进行变形，使得结构变形能够完全反映在流体流动网格中。流固耦合问题采用三场公式化方法，并利用离散伴随方法推导灵敏度分析。通过数值算例，我们展示了投影参数和插值参数对优化设计收敛性与拓扑的影响，并论证了在流体网格中考虑结构变形的效果。