A 2D fluid–structure interaction (FSI) solver based on Smoothed Particle Hydrodynamics (SPH) and RKPM is established in this paper. Since we focus on the incompressible flow problem, the WCSPH is adopted to simulate the fluid. Meanwhile, the structure is modeled by the RKPM beam formulation, in which the plane strain hypothesis is adopted, and only a column of particles is needed to discretize the beam. Since the support domain of the fluid particle near the FS interface is truanted, the so-called normal-flux method is adopted to consider surface integration terms. Moreover, we propose a new excess pressure for the incompressible fluid flow based on Bernoulli’s principle, which is more accurate for the simulation of incompressible FSI problems. Besides, the particle shifting scheme near the fluid–structure interface is modified. Finally, the accuracy and stability of the present FSI solver are verified by several numerical examples.

本文建立了基于光滑粒子流体动力学（SPH）和RKPM的二维流体-结构相互作用（FSI）求解器。由于我们关注不可压缩的流动问题，因此采用WCSPH来模拟流体。同时，通过RKPM梁公式对结构进行建模，其中采用了平面应变假设，只需要一列粒子即可使光束离散。由于在FS界面附近的流体粒子的支撑域是不规则的，因此采用所谓的法线通量法来考虑表面积分项。此外，我们基于伯努利原理为不可压缩的流体提出了新的过压，对于模拟不可压缩的FSI问题，该压力更为精确。此外，还修改了流固界面附近的粒子移动方案。最后，