The Vector Form Intrinsic Finite Element (VFIFE) is an advanced meshless Lagrangian structural solver. This study introduces a partitioned framework to integrate Arbitrary Lagrangian-Eulerian and VFIFE methods into fluid-structure interaction (FSI) problems featured by large structural displacements and deformations. The VFIFE method enables the FSI simulations with deformable structures due to the nature of Lagrangian particles, which is challenging for traditional computational fluid mechanics techniques. In addition, the VFIFE can be effectively equipped with the partitioned coupling schemes because of the versatility of governing equations. In this algorithm system, several matrix problems in finite element methods and mapping and interpolation in the fluid-structure interface can be avoided. The significant potential of this algorithm in tackling complex FSI problems is demonstrated through various benchmarks, encompassing scenarios like Taylor-Green vortex, flow over a rigid cylinder (Re = 40 ∼ 200), forced vibration of a rigid cylinder, vortex-induced vibration (VIV) of an elastically mounted cylinder, and VIV of a rigid cylinder with an attached flexible cantilever beam. Finally, an experiment on flow past a curtain in a water tank is conducted to further evaluate the precision and stability of the current coupling strategy in three dimensions, demonstrating the feasibility of such methods in flexible structures.

中文翻译：

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一种有效的分区框架，用于耦合任意拉格朗日-欧拉和无网格矢量形式的固有有限元方法，用于可变形结构的流体-结构相互作用问题

矢量形式固有有限元 (VFIFE) 是一种先进的无网格拉格朗日结构求解器。本研究引入了一个分区框架，将任意拉格朗日-欧拉和 VFIFE 方法集成到以大结构位移和变形为特征的流固耦合 (FSI) 问题中。由于拉格朗日粒子的性质，VFIFE 方法能够对可变形结构进行 FSI 模拟，这对传统计算流体力学技术来说是一个挑战。此外，由于控制方程的多功能性，VFIFE 可以有效地配备分区耦合方案。该算法系统可以避免有限元方法中的一些矩阵问题以及流固界面中的映射和插值问题。该算法在解决复杂 FSI 问题方面的巨大潜力通过各种基准得到了证明，包括泰勒-格林涡流、刚性圆柱体上的流动 (Re = 40 ∼ 200)、刚性圆柱体的受迫振动、涡激振动 ( VIV）是弹性安装的圆柱体，VIV是带有附加柔性悬臂梁的刚性圆柱体。最后，进行了水箱中流经水帘的实验，以进一步评估当前耦合策略在三个维度上的精度和稳定性，证明了该方法在柔性结构中的可行性。