| 求解双曲守恒律及其对流扩散方程的中心迎风方法 |
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| 引用本文： | 刘彩侠,封建湖.求解双曲守恒律及其对流扩散方程的中心迎风方法[J].动力学与控制学报,2005,3(1):19-23. |
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| 作者姓名： | 刘彩侠 封建湖 |
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| 作者单位： | 河南工业大学数理系,郑州,450052;长安大学理学院,西安,710064 |
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| 摘 要： | 提出了一种新的求解双曲守恒律方程(组)的四阶半离散中心迎风差分方法．空间导数项的离散采用四阶CWENO(central weighted essentially non—oscillatory)的构造方法，使所得到的新方法在提高精度的同时，具有更高的分辨率．使用该方法产生的数值粘性要比交错的中心格式小，而且由于数值粘性与时间步长无关，从而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 中心半离散 对流扩散方程 |
| 收稿时间： | 2004/10/29 0:00:00 |
| 修稿时间： | 2004年10月29 |
A new semidiscrete central scheme for hyperbolic conservation laws and convection diffusion equations |
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| Liu Caixia and Feng Jianhu.A new semidiscrete central scheme for hyperbolic conservation laws and convection diffusion equations[J].Journal of Dynamics and Control,2005,3(1):19-23. |
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| Authors: | Liu Caixia and Feng Jianhu |
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| Abstract: | This paper presented a new semi-discrete central scheme for hyperbolic system of conservation laws. By using the fourth-order CWENO reconstruction, the new scheme has properties of higher order accuracy and high resolution for discontinuities. Because the new scheme has less dissipation, which is independent of timesteps, than the staggered central scheme, it can be efficiently used with timesteps as small as the requirement of the numerical stability. |
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| Keywords: | hyperbolic conservation semi-discrete central conrection diffusion equation |
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