鲁统超^*， 葛亮

（  山东大学；  ）

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，用迭代法进行求解并给出了数值算例。验证了方法的有效性。
关键词： 特征方法，分数步长法，铸造充型，数值模拟

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 continuous equation and the momentum equation . We use the fractional step method to deal with the momentum equation. The compution is divided into two steps. In the first step, we use the characteristics finite difference method to compute the intermediate value. In the second step, we gain the possion equation of the pressure with help of the continuous equation; the equation is solved with the iterative method. The convergence and the stability of the equation are analyzed in this paper.

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