| 求解对流占优Burgers方程的随流格式 |
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| 引用本文： | 蒋锦良.求解对流占优Burgers方程的随流格式[J].计算物理,1992,9(2):127-132. |
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| 作者姓名： | 蒋锦良 |
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| 作者单位： | 上海电力学院, 200090 |
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| 摘 要： | 在用差分方法求解对流占优的Burgers方程时,许多常用的差分格式的计算精度会下降。为了提高对流占优问题的计算精度,本文提出非线性对流项的差分格式的设计要求,从而得到对流项的新的差分格式-随流格式。本文通过算例来表明随流格式的优点。
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| 关 键 词： | 对流占优 Burgers方程 随流格式 |
| 收稿时间： | 1991-05-17 |
| 修稿时间： | 1991-11-01 |
THE FOLLOW-FLOW SCHEMES FOR SOLVING THE CONVECTION-DOMINATED BURGERS EQUATION |
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| Jiang Jinliang.THE FOLLOW-FLOW SCHEMES FOR SOLVING THE CONVECTION-DOMINATED BURGERS EQUATION[J].Chinese Journal of Computational Physics,1992,9(2):127-132. |
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| Authors: | Jiang Jinliang |
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| Institution: | Shanghai Institute of Electric Power |
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| Abstract: | When the convection-dominated Burgers equation is solved by use of the difference method, the computational accuracy of many usual difference schemes will lower.The designre-quirements of difference scheme of the non-linear convection term are presented, and some new difference schemes, which is known as follow-flow schemes, are obtained in this paper, in order to raise the computational accuracy of convection-dominated equation. The advantages of the follow-flow schemes are shown by means of some examples in this paper. |
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| Keywords: | convection-dominated Burgers equation follow-flow scheme |
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