注射充模过程的压力求解方法及其比较

Pressure Solution Method and Its Comparison for Injection Molding

提出了一个LU局部分解方法来求解注射充模过程的压力方程,并与其他迭代方法进行了比较。LU局部分解法是当矩阵在逐渐变大时,保留已经分解的部分,只对新增加的部分进行分解,因此相当于只对最后的稀疏矩阵进行了分解。计算表明,LU局部分解法比预条件共轭梯度法快大约1个量级,而预条件共轭梯度方法又比超松弛迭代法快大约1个量级。

A local LU factorization method was proposed to solve pressure equation for mold filling in injection molding and was compared with iterative methods. In the local factorization method,when the matrix became larger, factorization was carried out for the new added part of matrix only. As a result, the final matrix was factorized only once. Case study showed that the local LU factorization was of the order of almost one faster than precondition conjugate gradient (PCG) method and PCG was of the order of almost one faster than successive over-relaxation method.