多重网格法在反应堆扩散方程中的应用分析

APPLICATION ANALYSIS OF MULTI-GRID METHOD FOR SOLVING THE NUCLEAR REACTOR DIFFUSION EQUATIONS

摘要: 该文叙述的是把多重网格法应用于反应堆扩散方程的一个准备性工作。我们应用V循环和W循环的多重网格法求解一个模型问题,并与SOR方法进行了比较。数值结果表明,W循环的多重网格法要比SOR方法快四倍。

Abstract: per presents some preliminary work on the applications of multi-grid method for solving the 2D reactor diffusion Equations. We used the multi-grid method with V-cycle and W-cycle for solving a model problem and comparied the results by SOR. Numerical results showed that the multi-grid method with W-cycle is the best. It is faster four time than the SOR.