超弹性柔性结构与流体耦合运动的浸入边界法研究

浸入边界法是模拟大变形柔性弹性结构和粘性流体相互作用的重要数值方法之一。该文有效结合传统的反馈力方法和混合有限元浸入边界方法，对圆柱和方柱绕流后柔性悬臂梁流固耦合振动问题进行数值模拟。其中，固体采用超弹性材料，利用有限单元法求解，流体为不可压缩牛顿流体，使用笛卡尔自适应加密网格，利用有限差分法进行求解。通过数值计算，得到柔性超弹性结构的耦合振动特性和流场动态分布特性，并将计算结果同其他文献计算结果进行比较，验证了该耦合计算方法的可靠性。

NUMERICAL INVESTIGATION OF INTERACTION BETWEEN A FLEXIBLE HYPER-ELASTIC STRUCTURE AND FLUID USING IMMERSED BOUNDARY METHOD

Immersed boundary method is one of the important numerical methods for solving the interaction between a flexible elastic structure with large deformation and viscous fluid. The fluid-induced vibration of a cantilever beam attached to a cylinder/square immersed in incompressible fluid is simulated using the hybrid finite difference/finite element immersed boundary method combined with a traditional feedback force method. The immersed boundary method uses hyper-elastic constitutive laws with a finite element discretization of the structure and an adaptive refined Cartesian grid with a finite difference discretization of the fluid. The vibrating characteristics of a flexible hyper-elastic structure and the motion of fluid are obtained. Comparisons between the results of the paper and that of other references show the reliability of this method.