The paper presents a 3D entirely Lagrangian meshfree solver for reproduction of fluid–structure interactions (FSI) corresponding to incompressible fluid flows and elastic structures. A projection-based particle method, namely, Moving Particle Semi-implicit (MPS), is coupled with a Hamiltonian particle-based structure model, referred to as Hamiltonian MPS (HMPS) structure model. The HMPS structure model is configured in the framework of Hamiltonian mechanics through consideration of the Lagrangian for a system of particles from which the motion equation for non-linear elastodynamics is derived via variational principles. The stability, accuracy and energy/momentum conservation properties of HMPS structure model are verified by four benchmark tests. The MPS and HMPS models are then coupled through application of a mathematically–physically compatible coupling scheme. The accuracy, stability, convergence and conservation properties of the presented 3D MPS–HMPS hydroelastic FSI solver are verified by considering four FSI benchmark tests. To the best of our knowledge, the paper presents the first 3D entirely Lagrangian meshfree hydroelastic FSI solver in the context of projection-based particle methods. In addition, through incorporation of a multi-resolution scheme the adaptivity of the proposed solver is also portrayed.

该论文提出了一种 3D 完全拉格朗日无网格求解器，用于再现与不可压缩流体流动和弹性结构相对应的流固耦合 (FSI)。基于投影的粒子方法，即移动粒子半隐式（MPS），与基于哈密顿粒子的结构模型相结合，称为哈密顿MPS（HMPS）结构模型。HMPS 结构模型是在哈密顿力学的框架内通过考虑粒子系统的拉格朗日量来配置的，非线性弹性动力学的运动方程是通过变分原理推导出来的。HMPS结构模型的稳定性、准确性和能量/动量守恒性质通过四项基准测试验证。MPS 和 HMPS 模型然后通过应用数学-物理兼容的耦合方案进行耦合。通过考虑四个 FSI 基准测试，验证了所提出的 3D MPS-HMPS 水弹性 FSI 求解器的准确性、稳定性、收敛性和守恒特性。据我们所知，该论文在基于投影的粒子方法的背景下提出了第一个 3D 完全拉格朗日无网格水弹性 FSI 求解器。此外，通过结合多分辨率方案，还描绘了所提出的求解器的适应性。该论文在基于投影的粒子方法的背景下展示了第一个 3D 完全拉格朗日无网格水弹性 FSI 求解器。此外，通过结合多分辨率方案，还描绘了所提出的求解器的适应性。该论文在基于投影的粒子方法的背景下展示了第一个 3D 完全拉格朗日无网格水弹性 FSI 求解器。此外，通过结合多分辨率方案，还描绘了所提出的求解器的适应性。