基于欧拉描述的数值方法在求解压铸充型过程自由表面问题方面存在一定困难. 为提高自由表面数值模拟的准确性, 本文建立了基于纯拉格朗日描述的压铸充型过程SPH方法计算程序. 引入Monaghan边界模型建立了型腔壁面边界条件, 通过划分入流区域粒子和流体粒子实现了入流边界条件. 采用本程序计算了M.Schmid验证模型, 并分别与实验结果以及FDM计算结果进行了对比. SPH方法计算结果更好地捕捉了充型阶段自由表面分布, 并准确获得了充型形成的空穴的位置和大小.

The numerical method based on Eulerian description is difficult to solve the free surface flow in filling process of high pressure die casting(HPDC). In order to improve the accuracy of free surface’s numerical simulation, a smoothed particle hydrodynamics(SPH) program with pure largrangian description was established in this paper for HPDC filling process’s calculation. Monaghan boundary type was introduced to modelling the solid wall boundary condition of mold cavity. Inlet boundary condition was implemented by dividing inlet region particles and flow region particles. The validation model given by M.Schmid was calculated by this SPH program, and the simulation results were compared with both experimental and FDM simulation results. The SPH results were better able to describe the distribution of free surface during the filling process, further more the voids formed in filling process could be captured precisely in respect of location and dimension.