| 一阶迎风和二阶ENO Local Lax-Friedrich格式的修正系数研究 |
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| 引用本文： | 刘典型,刘完芳,钟钢.一阶迎风和二阶ENO Local Lax-Friedrich格式的修正系数研究[J].计算机应用与软件,2009,26(8):41-44. |
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| 作者姓名： | 刘典型 刘完芳 钟钢 |
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| 作者单位： | 1. 湖南公安高等专科学校计算机系,湖南,长沙,410138;湖南大学软件学院,湖南,长沙,410082
2. 湖南公安高等专科学校计算机系,湖南,长沙,410138 |
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| 基金项目： | 公安部科技创新计划项目 |
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| 摘 要： | 针对一阶迎风格式和二阶ENO Local Lax-Friedrich格式,通过"修正系数"方法对它们进行修正,在不增加模板节点数的情况下,将逼近精度提高一阶,分别称为MCupwind格式和MCENOLLF格式. 理论与数值模拟实验表明,修正后的格式保持了原有格式的所有优点,在最坏的情况下自动降为原格式,"修正系数"方法能在间断或激波附近引入间断解思想将会有更好的发展前景.
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| 关 键 词： | 修正系数 格式 MCENOLLF格式 计算流体力学 迎风格式 |
ON MODIFYING COEFFICIENTS OF FIRST-ORDER UPWIND SCHEME AND SECOND-ORDER ENO LOCAL LAX-FRIEDRICH SCHEME |
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| Liu Dianxing,Liu Wanfang,Zhong Gang.ON MODIFYING COEFFICIENTS OF FIRST-ORDER UPWIND SCHEME AND SECOND-ORDER ENO LOCAL LAX-FRIEDRICH SCHEME[J].Computer Applications and Software,2009,26(8):41-44. |
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| Authors: | Liu Dianxing Liu Wanfang Zhong Gang |
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| Affiliation: | Department of Computer;Hunan Public Security College;Changsha 410138;Hunan;China;School of Software;Hunan University;Changsha 410082;China |
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| Abstract: | In this thesis,we present two new numerical methods named MCupind scheme and MCENOLLF scheme respectively.They are based on first-order upwind scheme and second-order ENO Local Lax-Friedrich scheme respectively,by adjusting them through "modifying coefficient" method,the approximation accuracy is heightened one order without expanding the points' number of the template.Theoretical analysis and the value modelling indicate that the modified schemes of MC approaches hold all the desirable properties the under... |
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| Keywords: | MCupwind |
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