The present study proposes an MPM (material point method)–FEM (finite element method) hybrid analysis method for simulating granular mass–water interaction problems, in which the granular mass causes dynamic motion of the surrounding water. While the MPM is applied to the solid (soil) phase whose motion is suitably represented by Lagrangian description, the FEM is applied to the fluid (water) phase that is adapted for Eulerian description. Also, the phase-field approach is employed to capture the free surface. After the accuracy of the proposed method is tested by comparing the results to some analytical solutions of the consolidation theory, several numerical examples are presented to demonstrate its capability in simulating fluid motions induced by granular mass movements.

本研究提出了一种MPM（材料点法）-FEM（有限元法）混合分析方法，用于模拟颗粒状水与水的相互作用问题，其中颗粒状水引起周围水的动态运动。虽然将MPM应用于通过拉格朗日描述适当表示运动的固相（土壤），但将FEM应用于适合欧拉描述的流体（水）相。同样，采用相场方法来捕获自由表面。通过将结果与固结理论的一些解析解进行比较，测试了所提方法的准确性之后，给出了几个数值示例，以证明其在模拟由颗粒质量运动引起的流体运动中的能力。