对流占优的Burgers方程解法的改进  

Improvement of the Method for Solving the Convection-Dominated Burgers Equation

作　　者：任福安[1] 刘汉礼[2] 

机构地区：[1]大连海事大学 [2]大连理工大学

出　　处：《大连海运学院学报》1994年第2期91-94,共4页

摘　　要：对于求解对流项占优的Burgera方程,本文分析比较了巳有的几种计算格式和计算结果精度,指出了几种计算格式所存在的问题及处理方法,并在此基础上提出了一种新的计算格式——加权三层格式, 几个算例的计算比较表明,本格式并不增加计算上的困难,且使得收敛速度和计算结果精度得到了显著提高.In the paper, several calculating schemes and their accurecy for solving the converction-dominated Burgers equation are analysed and contrasted. The problems is these calculating schemes and the treating method are pointed out. A new kind of calculating schemes-weighted three-layer scheme is brought up. Several calculating examples prove that the new calculating scheme does not increase any difficulties but remarkably raises the convergent speed and the accuracy of calculation.

关 键 词：对流占优 有限元法 BURGERS方程 

分 类 号：O241.82[理学—计算数学]