鲁统超^*， 葛亮

（  山东大学数学院；  ）

摘要： 铸造充型过程的数学模型是包括连续性方程和动量方程的偏微分方程组。本文利用分数步长法将动量方程分裂成两部分，对第一个方程采用特征差分法进行处理，对第二个方程结合连续性方程进行处理后得到压力的 泊松方程，用迭代法进行求解，给出了收敛性分析和稳定性条件。
关键词： 分数步长；特征差分；收敛性；迭代

Lu Tongchao^*， Ge Liang

（  Shandong Univ.；  ）

Abstract： A computational model on the melt flow simulation in casting process is partial differential equations which include the contineous equation and the momentum equation . The momentum equation is divided into two parts by the fractional step method .The method of characteristics is used to solve the first equation. And the second equation combined with the contineous is changed into the possion equation about the pressure. We solve the equation with the iterative method, and analyze the convergence and the stabization of the equation.

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