三维对流扩散方程的高精度紧致差分格式  

THE HIGH ACCURACY COMPACT FINITE DIFFERENCE SCHEME FOR THREE DIMENSIONAL CONVECTION-DIFFUSION EQUATION

作　　者：乔海丽[1] 姜子文[1] 

机构地区：[1]山东师范大学数学与统计学院,济南250014

出　　处：《山东师范大学学报（自然科学版）》2017年第1期6-9,共4页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11171193);山东省科技发展计划资助项目(2012GGB01198);山东省自然科学基金资助项目(ZR2011AM016;ZR2014AM033)

摘　　要：以一维定常对流扩散方程的高精度差分格式为基础,构造了三维非定常对流扩散方程的高精度紧致差分格式.该格式为两层格式,时间具有二阶精度,空间具有四阶精度.具体算例说明了上述格式的精确性和可靠性.In this paper,a high accuracy compact difference scheme of three-dimensional unsteady convection diffusion equation was constructed based on a high accuracy difference scheme of one-dimensional steady convection diffusion equation.The scheme was two-layers format which has two order accuracy in time and four order accuracy in space.The accuracy and reliability of the above format were illustrated by numerical examples.

关 键 词：对流扩散方程 紧致差分方法 数值实验 

分 类 号：O241[理学—计算数学]