A numerical framework is proposed to couple the finite element (FE) and lattice Boltzmann methods (LBM) for simulating fluid–structure interaction (FSI) problems. The LBM is used as an efficient method for solving the weakly-compressible fluid flows. The corotational FE method for beam elements is used to solve the thin plate deformation. The two methods are coupled via a direct-forcing immersed boundary (IB) method with a sub-iteration scheme. A virtual structure method has been developed to improve the computational accuracy. Validations of the proposed coupling method have been carried out by testing a vortex-induced vibration problem. The numerical results are in good agreement with [Li and Favier (2017), “A non-staggered coupling of finite element and lattice Boltzmann methods via an immersed boundary scheme for fluid-structure interaction,” Comput. Fluids 143, 90–102]. The proposed method does not require heavy linear algebra calculation, which is suitable for parallel computation.

中文翻译：

---

通过有限元和格子 Boltzmann 方法的耦合模拟薄弹性板的流固耦合问题

提出了一种数值框架来耦合有限元 (FE) 和格子玻尔兹曼方法 (LBM)，以模拟流固耦合 (FSI) 问题。LBM 被用作求解弱可压缩流体流动的有效方法。梁单元的同向旋转有限元方法用于求解薄板变形。这两种方法通过直接强制浸入边界 (IB) 方法与子迭代方案耦合。已经开发了一种虚拟结构方法来提高计算精度。通过测试涡激振动问题对所提出的耦合方法进行了验证。数值结果与 [Li and Favier (2017), “A non-staggered coupling offinite element and lattice Boltzmann methods via an浸入式边界方案用于流固耦合，”计算。流体 143、90-102]。该方法不需要繁重的线性代数计算，适合并行计算。