| 对流扩散方程的三层WENO-MMOCAA差分方法 |
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| 引用本文： | 由同顺.对流扩散方程的三层WENO-MMOCAA差分方法[J].应用数学学报,2005,28(4):713-722. |
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| 作者姓名： | 由同顺 |
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| 作者单位： | 南开大学数学科学学院,天津,300071 |
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| 基金项目： | 南开大学科技创新基金(05-06号)资助项目． |
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| 摘 要： | 本文把三层修正特征线法,MMOCAA 差分方法及WENO 插值相结合,提出了求解对流扩散方程的三层WENO-MMOCAA 差分格式.此格式关于时间具有二阶精度,关于空间具有二阶以上精度且可避免基于二次以上Lagrange 插值的三层MMOCAA 差分方法在解的大梯度附近所产生的振荡.本文使用新的分析方法,给出了格式的误差估计.本文的数值算例表明新格式可消除振荡.
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| 关 键 词： | 对流占优扩散方程 三层修正特征线法 MMOCAA 差分方法 WENO 插值 |
| 收稿时间： | 2003-10-21 |
| 修稿时间： | 2003-10-21 |
THE THREE-STEP WENO-MMOCAA DIFFERENCE METHOD FOR CONVECTION DIFFUSION EQUATION |
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| YOU TONGSHUN.THE THREE-STEP WENO-MMOCAA DIFFERENCE METHOD FOR CONVECTION DIFFUSION EQUATION[J].Acta Mathematicae Applicatae Sinica,2005,28(4):713-722. |
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| Authors: | YOU TONGSHUN |
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| Institution: | College of Mathematics, Nankai University, Tianjin 300071 |
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| Abstract: | Combing the three-step modified method of characteristics,MMOCAA difference method with WENO interplation,the three-step WFNO-MMOCAA finite difference method is established for convection- dominated diffusion problem in the paper.The scheme is two-order accurate in time and more than two-order accurate in space.The scheme is free from the oscillation near the steep front,with which the problem is solved by three-step MMOCAA finite difference method based on m-order(m(?)2)Lagrange interplation. Using the new analysis method,we give the estimate analysis of the scheme.The numerical example show that the new scheme can erase the oscillation. |
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| Keywords: | convection-dominated diffusion problem the three-step modified method of characteristics MMOCAA finite difference method WENO interplation |
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