论文标题
流体结构相互作用问题的拓扑优化与总应力平衡
Topology Optimization of Fluid-Structure Interaction Problems with Total Stress Equilibrium
论文作者
论文摘要
这项工作扩展了通过包含粘性应力成分的流体结构相互作用问题拓扑优化流体结构相互作用问题的力耦合。实施了超对面的补丁恢复技术，以消除在有限元素边界上速度衍生物中的不连续性。敏感性分析是通过分析得出的，用于超对会的斑块恢复方法，并通过使用复杂阶数衍生物近似方法进一步验证。数值示例表明，根据设计问题的流量特征，使用压力与总应力耦合进行了优化设计的差异化。
This work extends force coupling in the topology optimization of fluid-structure interaction problems from hydrostatic to total stresses through the inclusion of viscous stress components. The superconvergent patch recovery technique is implemented to remove the discontinuities in velocity derivatives over the finite elements boundaries. The sensitivity analysis is derived analytically for the superconvergent patch recovery approach and further verified through the use of the complex-step derivative approximation method. Numerical examples demonstrate a differentiation in the optimized designs using pressure vs. total stress coupling depending on the flow characteristics of the design problem.
