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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。
Immersion boundary method is one of the most important numerical methods to simulate the interaction between large-scale flexible elastic structures and viscous fluids. In this paper, the traditional feedback force method and the mixed finite element immersion boundary method are used to simulate the fluid-solid coupling vibration of flexible cantilever beams with circular columns and square columns. Among them, the solid superelastic material, the use of finite element method to solve, the fluid is incompressible Newtonian fluid, the use of Cartesian adaptive encryption grid, the use of finite difference method to solve. Through the numerical calculation, the coupling vibration characteristics and the dynamic characteristics of the flow field of the flexible hyperelastic structures are obtained. The calculated results are compared with the results of other literature to verify the reliability of the coupled calculation method.