| 高阶半离散中心迎风方法的研究与应用 |
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| 引用本文： | 刘彩侠,李辉,张应奇,李文鸿.高阶半离散中心迎风方法的研究与应用[J].信阳师范学院学报(自然科学版),2007,20(4):412-415. |
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| 作者姓名： | 刘彩侠 李辉 张应奇 李文鸿 |
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| 作者单位： | 1. 河南工业大学,理学院,河南,郑州450052
2. 信阳师范学院,教育科学学院,河南,信阳,464000 |
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| 基金项目： | 河南省自然科学基金;河南工业大学校科研和教改项目 |
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| 摘 要： | 结合四阶Central Weighted Essentially Non-Oscillatory格式、三阶Central-Upwind格式构造了一种新的四阶半离散中心迎风差分方法求解双曲守恒律、浅水波方程及有关问题.而且由于数值粘性与时间步长无关,从而在涉及到对流扩散方程的求解时时间步长可根据稳定性需要尽可能的小.
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| 关 键 词： | 双曲守恒律 浅水波方程 半离散中心迎风 |
| 文章编号： | 1003-0972（2007）04-0412-04 |
| 收稿时间： | 2006-11-26 |
| 修稿时间： | 2007-06-10 |
Research and Application of a Semi-discrete Central-upwind Scheme |
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| LIU Cai-xia,LI Hui,ZHANG Ying-qi,LI Wen-hong.Research and Application of a Semi-discrete Central-upwind Scheme[J].Journal of Xinyang Teachers College(Natural Science Edition),2007,20(4):412-415. |
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| Authors: | LIU Cai-xia LI Hui ZHANG Ying-qi LI Wen-hong |
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| Abstract: | A new fourth-order semi-discrete central-upwind scheme was constructed for hyperbolic system of conservation laws,convection-diffusion equations and shallow water equations.The integration over the Riemann fans by more accurate information about one-sided local speed of wave propagation was augmented.By using the fourth-order CWENO reconstruction,the new scheme has the properties of higher order accuracy and higher resolution for discontinuities.Because the new scheme has less dissipation,which is independent of time-steps,than the staggered central scheme,it can be efficiently used with time-steps as small as the requirement of the numerical stability. |
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| Keywords: | hyperbolic conservation laws shallow water equation semi-discrete central-upwind |
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