中文摘要：

注塑成型过程中，熔体在型腔中的流动和传热对制品质量性能有重要的影响．为了预测注塑制品的收缩、翘曲和力学性能，精确预测充填过程的流动及传热历史是十分必要的．本文考虑熔体的可压缩性及相变的影响，将充填过程中熔体的流动视为非牛顿可压流体在非等温状态下的广义Hele-Shaw流动．采用有限元／有限差分混合方法求解压力场和温度场，采用控制体积法跟踪熔体流动前沿，并应用VisualC＋＋实现了注塑充填过程的可压缩流动分析．为了保证能量方程各项在单元内边界的连续性，结点能量方程各项由单元形心处的离散值加权平均获得，因而，能量方程在计算区域内整体求解．对两个算例进行了分析，模拟结果与实验结果的对比，验证了本文数值算法及程序．

英文摘要：

The flow and heat transfer of the melt in cavity have crucial effects on the final quality and properties of injection-molded parts. In order to predict the shrinkage, warpage and mechanical properties of the injection molded parts, it is necessary to predict the history of flow and heat transfer of melt accurately during the molding process. In this paper, the modeling of filling stage is based on the generalized Hele-Shaw flow of a compressible viscous fluid under non-isothermal conditions with consideration of the effects of compressibility and phase change. A hybrid FEM/FDM was employed to calculate the pressure field and temperature field, and the control volume method was adopted to advance the melt front. The compressible flow analysis of filling stage in plastics injection molding was implemented by using Visual Cq-q-. In order to keep each energy term be continuous across inter-element boundaries, each item of energy equation was discretized at the centroid of the elements, and then the energy equation at each vertex node was obtained by a weighted averaging scheme, thus the temperature field was estimated by solving the integrated energy equation of the whole calculation domain. Two parts were analyzed, and the comparison of numerical and experimental results verified the numerical algorithm and program of the compressible filling simulation. The numerical results also indicated that the compressibility of the material had important effects on the flow field of imbalance molds.