用多重网格技术加速CELS算法的收敛

Speeding the Convergence of CELS Algorithm by Multigrid Technique

求解不可压流体耦合方程的直接解法（ＣＥＬＳ算法），在许多计算问题中体现了其优 越性。多重网格法在加速数值计算的收敛速度方面也体现出了其有效性。本文把ＣＥＬＳ算法 在多重网格下实施，使用原始变量法，对圆管突扩通道和驱动方腔二维层流流动进行了计算， 并与Ｋｏｓｅｆｆ等人的实验数据进行了比较。结果表明，ＣＥＬＳ算法对所考核的算例是很有效的， 多重网格技术对ＣＥＬＳ算法收敛进程的加这也是显著的。

CELS (Coupled Equation Line Solver) algorithm, which is based on the simultaneous solution for Pressure and velocity along lines, has successfully solved many flow problems. Multigrid technique can efficiently eliminate errors, and obtain a converged solution more or less fast. The paper Presellts a simple, robust, and an efficient method dealing with pressure-velocity coupling problems with Primitive variables, and takes the sudden expansion pipe and driven cavity laminar flow as examples. Good agreements are found with the experimental measurements of Koseff etc. and with the numerical results of Stella and Guj who used vorticity-velocity formulation.