Wang Xingshi, Zhang Lucy T
JEC 2049, Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180.
Comput Methods Appl Mech Eng. 2013 Dec 1;267. doi: 10.1016/j.cma.2013.07.019.
In this paper, we develop a "modified" immersed finite element method (mIFEM), a non-boundary-fitted numerical technique, to study fluid-structure interactions. Using this method, we can more precisely capture the solid dynamics by the solid governing equation instead of imposing it based on the fluid velocity field as in the original immersed finite element (IFEM). Using the IFEM may lead to severe solid mesh distortion because the solid deformation is been over-estimated, especially for high Reynolds number flows. In the mIFEM, the solid dynamics is solved using appropriate boundary conditions generated from the surrounding fluid, therefore produces more accurate and realistic coupled solutions. We show several 2-D and 3-D testing cases where the mIFEM has a noticeable advantage in handling complicated fluid-structure interactions when the solid behavior dominates the fluid flow.
在本文中，我们开发了一种“改进的”浸入式有限元方法（mIFEM），这是一种非边界拟合数值技术，用于研究流固相互作用。使用这种方法，我们可以通过固体控制方程更精确地捕捉固体动力学，而不是像原始浸入式有限元（IFEM）那样基于流体速度场来施加它。使用IFEM可能会导致严重的固体网格变形，因为固体变形被高估了，特别是对于高雷诺数流动。在mIFEM中，固体动力学是通过从周围流体生成的适当边界条件来求解的，因此产生更准确和现实的耦合解。我们展示了几个二维和三维测试案例，其中当固体行为主导流体流动时，mIFEM在处理复杂的流固相互作用方面具有显著优势。
