Meshless methods are suitable for fluid–structure interaction simulations due to its Lagrangian feature and capability of handling large deformations. A three-dimensional meshless framework for the fluid–structure interaction simulation with shell structures is proposed in this study. The weakly compressible smoothed particle hydrodynamics is deployed in the fluid domain, where the boundary integral terms are incorporated to handle the one-layer shell boundary. On the other hand, a semi-meshless finite volume modeling method based on the Reissner–Mindlin shell is deployed in the one-layer shell domain. A one-way coupling method is employed for the interactive forcing between the fluid and shell particles near the interface, where the boundary integral method is employed to approximate the gradient and Laplacian operators in the fluid governing equations. Regarding the no-slip boundary, the original boundary integral method always leads to the artificial slipping phenomenon between the fluid and shell interface. To this end, a velocity penalty term with a relaxation factor is proposed to enforce the no-slip boundary condition, which substantially improves the accuracy of the original boundary integral method. In order to reduce computational costs, a multi-resolution strategy for the meshless framework is employed. A set of challenging cases with low and high Reynolds numbers are simulated by the present framework, and good accuracy is observed with the velocity penalty term in these cases. Overall, the new framework shows a satisfactory performance.

中文翻译：

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基于光滑粒子流体动力学与半无网格薄壳耦合的三维无网格流壳相互作用框架


无网格方法因其拉格朗日特征和处理大变形的能力而适用于流固耦合模拟。本研究提出了一种用于壳结构流固耦合模拟的三维无网格框架。弱可压缩平滑粒子流体动力学被部署在流体域中，其中结合边界积分项来处理单层壳边界。另一方面，基于Reissner-Mindlin壳的半无网格有限体积建模方法被部署在单层壳域中。采用单向耦合方法研究界面附近流体与壳质粒子之间的相互作用力，其中边界积分方法用于逼近流体控制方程中的梯度和拉普拉斯算子。对于无滑移边界，原有的边界积分方法总是会导致流体与壳体界面之间存在人为的滑移现象。为此，提出了带有松弛因子的速度惩罚项来强制无滑移边界条件，这大大提高了原始边界积分方法的精度。为了降低计算成本，采用了无网格框架的多分辨率策略。本框架模拟了一组具有低雷诺数和高雷诺数的具有挑战性的情况，并且在这些情况下使用速度惩罚项观察到良好的准确性。总体而言，新框架表现出令人满意的性能。