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以正交实验为基础，从球铁件缩孔形成机制出发，建立了动态体积改变积聚法及结合临界固相率来预测二次缩孔的数学模型。提出了采用数据结构中广度优先搜索的方法对整个铸件进行遍历，来寻找孤立区的大小及孤立区内各单元的具体位置，实现了对二次缩孔定量，定位的预测。根据傅立叶热传导方程及新建数学模型编制了相应的软件，较准确地实现了球铁件凝固过程数值模拟及三维缩孔的预测。
Based on the orthogonal experiment, a dynamic volume change accumulation method and a mathematical model of predicting secondary shrinkage cavities based on the critical solid fraction were established based on the formation mechanism of the shrinkage cavity of ductile iron. The method of breadth first search in the data structure is proposed to traverse the whole casting to find the size of the isolated area and the location of each unit in the isolated area. According to the Fourier heat conduction equation and the new mathematical model, the corresponding software was compiled and the numerical simulation of the solidification process of the ductile iron and the prediction of the three-dimensional shrinkage cavity were accurately achieved.