Abstract: An incomplete Cholesky-conjugate gradient method is used to solve the pressure equation of two phase bi-dimension model. Computation shows that the method converges rapidly, it has no need of accelerated parameter and is insensitive to the variation of the calculating parameoers. Compared with the line successive overrelaxation method, the speed of computation has increased by 0.5 to 27.7 times. By using the new method, the two phase bi-dimension model is considerably more efficient, adaptable and reliable.

摘要： 本文把不完全乔利斯基——共轭斜量解法用于求解二维二相模型的压力方程。实际计算表明,该方法收敛速度较快,不需要加速参数,对各种计算参数的变化不太敏感;与线松弛法相比,计算速度提高0.5²7.7倍。新的计算方法的应用,显著地提高了二维二相模型的效率、适应性和可靠性。

关键词: 相模型, 压力方程, 加速参数, 收敛速度, 二维, 计算速度, 计算时间, 解法, 可靠性, 线松弛