CIESC Journal

• 化工学报 • 上一篇    下一篇

多块修正技术——块修正技术的一般化推广

张政   

  1. 北京化工学院
  • 出版日期:1986-03-25 发布日期:1986-03-25

Multiple Block Correction——GeneralizedExtension of Block Correction Technique

Zhang Zheng (Beijing Institute of Chemical Technology)   

  • Online:1986-03-25 Published:1986-03-25

摘要: 块修正技术可以大大加速数值法求解传热传质与流动问题时的收敛速度,双块修正技术使许多问题的收敛速度进一步提高.本文将块修正技术作了一般化推广,推导了多块(任意块数)修正技术的计算公式,研究了修正块数对不同问题收敛速度的影响,并找得了最佳修正块数与所研究问题的性质及网格结点数之间的一般关系.文中还研究了块修正与行TDMA迭代扫描次数之间的相互配合关系,并确定了每次块修正技术之后最佳的行(或列)TDMA迭代扫描次数.

Abstract: In this paper a generalized extension of the block correction technique is developed including formulae for a multiple block(arbitrary number of blocks)correction technique, and the effect of the number of correction blocks on convergence is studied, with the following findings: 1. There is an optimal number of correction blocks for a problem, for which the CPU time is the smallest. 2. As the number of grid points in the calculation domain increases, the optimal number of correction blocks increases. Generally speaking, when the number of grid points between 20×20 and 10×10, double block correction is the best, when the number of grid points is about 30 × 30, triple block correction might be the best, while if the number of grid points is even greater, multiple block correction may be needed to save computer time. 3. Boundary conditions may have a significant influence on the optimal number of blocks. In general, boundary condition problems of the second type may nead more blocks in the correction technique than the first type.