This work aims to develop a FVM-based structural solver that can seamlessly be integrated with Computational Fluid Dynamics (CFD) solvers for fluid-structure interaction (FSI) problems. For flexibility in gridding and efficient computation, hexahedral multi-block grids are adopted which are locally structured, but globally unstructured. Besides, ghost cells are introduced to solve the partial derivatives and displacements at the boundaries of the computational domain. Time-accurate solutions are obtained by employing a matrix-free, dual time stepping approach, and the implicit residual value smoothing method is used to increase the convergence rate. Stresses are evaluated using Green's theorem based on the gradients of the displacement of the cells. The proposed method is applied to static and dynamic response of 3D cantilevers. Results are found to agree well with analytical solutions, and the amplitude error of the dynamic response is less than 1.5%. Besides, resonance and beating phenomena were clearly observed and compared to Finite Element approaches in accuracy and efficiency. Finally, the dynamic response of a cantilever beam with NACA0012 airfoil is analyzed preliminarily.

这项工作旨在开发一种基于 FVM 的结构求解器，它可以与计算流体动力学 (CFD) 求解器无缝集成，以解决流固耦合 (FSI) 问题。为了网格化的灵活性和高效计算，采用了局部结构化但全局非结构化的六面体多块网格。此外，引入鬼单元来解决计算域边界处的偏导数和位移。采用无矩阵、双时间步长的方法得到时间精确的解，并采用隐式残值平滑方法提高收敛速度。使用基于单元位移梯度的格林定理来评估应力。所提出的方法应用于3D悬臂的静态和动态响应。结果与解析解吻合良好，动态响应幅度误差小于1.5%。此外，清晰地观察到共振和跳动现象，并在准确性和效率方面与有限元方法进行了比较。最后，初步分析了NACA0012翼型悬臂梁的动力响应。