| 双曲守恒律方程WENO格式的优化方法 |
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| 引用本文： | 徐振礼,邱建贤,刘儒勋. 双曲守恒律方程WENO格式的优化方法[J]. 中国科学技术大学学报, 2004, 34(1): 29-37,54 |
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| 作者姓名： | 徐振礼 邱建贤 刘儒勋 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
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| 基金项目： | 国家自然科学基金 ( 10 0 710 83)，中国科学技术大学火灾科学国家重点实验室创新基金 |
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| 摘 要： | Weighted Essentially Non-Oscillatroy(WENO)是求解双曲守恒律方程的高精度高分辨率数值格式．论文讨论了双曲守恒律方程WENO格式的一些优化策略，减少了非线性权的计算次数和特征分解的次数，通过数值算例证明了这些策略的可行性，并比较了优缺点．
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| 关 键 词： | WENO格式 双曲守恒律方程 Runge-Kutta方法 |
| 文章编号： | 0253-2778(2004)01-0029-09 |
Some Optimal Methods for WENO Scheme in Hypabolic Conservation Laws |
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| XU Zhen li,QIU Jian xian,LIU Ru xun. Some Optimal Methods for WENO Scheme in Hypabolic Conservation Laws[J]. Journal of University of Science and Technology of China, 2004, 34(1): 29-37,54 |
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| Authors: | XU Zhen li QIU Jian xian LIU Ru xun |
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| Abstract: | WENO (weighted Essentially Non Oscillatroy) is a high resolution numerical scheme used for solving equations of hyperbolic conservation laws. In this paper, some optimal strategies of the WENO scheme of hyperbolic conservation laws are discussed and the time of nonlinear weighted computation and characteristic decomposing is reduced. By some numerical examples, the feasibility of these strategies is proved and the advantages and disadvantages compared. |
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| Keywords: | WENO scheme hyperbolic conservationa law equation Runge Kutta method |
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