计算流体力学与传热中的多重网格块修正算法

在流体力学的数值模拟计算中经常会遇到大型代数方程组的求解，而求解代数方程组的代价随着方程个数的增加而迅速增大。 主要将块修正多重网格算法引入ＳＩＭＰＬＥ通用程序中，并以流体力学中五个典型的实际问题为例，分别采用四种不同的迭代方法进行计算比较，展示了块修正多重网格法加速收敛速度的特性。

Block-correction type multigrid method in computation of fluid flow and heat transfer

The solution of large sets of equations is required when discrete methods are used to numerically simulate fluid flow and heat transfer. The cost of solution often becomes prohibtive when the number of equations in the set becomes large. In the present paper, the addictive correction of multigrid method is introduced into SIMPLE program. We apply it to five testing practical problem. The comparisom of the results from the method of this paper and other methods demonstrates the attractive properties of the multigrid method, which can improve the convergence rate in the solution of algebraic equations.