摘要
为了克服传统显格式和ADI方法受稳定性条件限制的弊端及传统迭代法在求解隐格式时计算量大、收敛速度慢的缺陷,采用古典的Crank-Nicolson格式和多重网格法方法,对三维非稳态导热问题进行了高效稳定求解.得到了三维非稳态导热问题的数值解.利用数值实验结果验证了该方法的可靠性.
In order to overcome stability limit of classical explicit difference schemes and ADI method and difficulties in a large quantity of calculations when traditional relaxation methods are used to treat the implicit difference schemes, the Crank-Nicolson difference scheme and multigrid method are employed to solve three-dimensional unsteady heat conduction problems. The numerical solution of three-dimensional unsteady heat conduction problems is obtained in this paper. Numerical experiments show the dependability of present method.＂
出处
《河北北方学院学报（自然科学版）》
2009年第5期1-4,共4页
Journal of Hebei North University:Natural Science Edition
基金
宁夏高等学科科学技术研究项目(2008-04)
关键词
三维导热问题
非稳态
隐式差分格式
多重网格方法
three-dimensional heat conduction problems
unsteady
implicit difference scheme
multigrid method
