In this work, the fluid–structure interaction (FSI) problems have been studied by coupling the $\delta$ Smoothed Particle Hydrodynamics ($\delta$SPH) with the Smoothed Point Interpolation Method (SPIM), which is abbreviated as $\delta$SPH–SPIM coupled method. SPIM is used for structure dynamics owing to its good performance for large deformation analysis of solids. For the fluid solver, in order to further reduce the unphysical noise in pressure field, the $\delta$SPH (where the density diffusion term is added into the continuity equation) is adopted. Inspired by the particle-element method, a new interpolation scheme is proposed for the coupling force calculation and transfer, which does not require the fluid and solid spacing to be the same. The coupled method has been verified by hydrostatic water column on an elastic plate, and has been applied to solve the problems of high speed water entry of an elastic wedge as well as dam-break flow.

在这项工作中，通过耦合流场研究了流固耦合（FSI）问题。 $\delta$ 平滑粒子流体动力学（$\delta$SPH）和平滑点插值方法（SPIM），缩写为 $\delta$SPH–SPIM耦合方法。SPIM具有出色的固体大变形分析性能，因此可用于结构动力学。对于流体求解器，为了进一步减少压力场中的非自然噪声，$\delta$采用SPH（将密度扩散项添加到连续性方程中）。受粒子单元法的启发，提出了一种新的插值方案，用于耦合力的计算和传递，不需要流体和固体的间距相同。该耦合方法已经在弹性板上的静水柱进行了验证，已被用于解决弹性楔形物高速入水以及溃坝水流的问题。