| 对流方程的一种加权显式格式 |
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| 引用本文： | 臧顺全,张伟. 对流方程的一种加权显式格式[J]. 湘南学院学报, 2012, 0(5): 10-13 |
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| 作者姓名： | 臧顺全 张伟 |
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| 作者单位： | 西安邮电大学理学院;西安理工大学理学院 |
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| 基金项目： | 陕西省教育厅科研项目(2010JK835) |
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| 摘 要： | 对对流方程的Lax-Friedrichs格式和Lax-Wendroff格式采取加权策略,给出了对流方程的一种加权显式格式(WLFW格式),进一步通过理论分析给出该格式的局部截断误差和稳定性条件.实验结果表明,WLFW格式可有效地控制数值耗散和数值色散问题.
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| 关 键 词： | 对流方程 Lax-Friedrichs格式 Lax-Wendroff格式 加权显式格式 |
A Weighted Explicit Format of Convection Equations |
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| Zang Shunquan,Zhang Wei. A Weighted Explicit Format of Convection Equations[J]. Journal of Xiangnan University, 2012, 0(5): 10-13 |
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| Authors: | Zang Shunquan Zhang Wei |
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| Affiliation: | 1.School of Science,Xi’an University of Posts and Telecommunications,Xi’an 710061,China;2.Faculty of Science,Xi’an University of Technology,Xi’an 710054,China) |
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| Abstract: | Weighted strategy is applied in this article to the Lax-Friedrichs format and Lax-Wendroff format of convection equations in order to realize another weighted explicit form of convection equations(WLFW format) and therefore the author concludes the local truncation error and stability conditions through further theoretical analysis of this format.Experimental results show that WLFW format can effectively control the numerical dissipation and numerical dispersion problems. |
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| Keywords: | convection equation Lax-Friedrichs format Lax-Wendroff format weighted explicit format |
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