| 求解多维双曲守恒律方程组的四阶半离散格式 |
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| 引用本文： | 蔡力,封建湖,谢文贤.求解多维双曲守恒律方程组的四阶半离散格式[J].应用力学学报,2005,22(3):479-483. |
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| 作者姓名： | 蔡力 封建湖 谢文贤 |
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| 作者单位： | 1. 西北工业大学,西安,710072
2. 长安大学,西安,710064 |
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| 摘 要： | 提出了求解多维双曲守恒律方程组的四阶半离散格式。该方法以中心加权基本无振荡(CWENO)重构为基础,同时考虑到在R iemann扇内波传播的局部速度,从而回避了计算过程中的网格交错,建立了数值耗散较小的介于迎风格式和中心格式之间的半离散格式。本文的四阶半离散格式是Kurganov等人的三阶半离散格式的高阶推广。大量的数值算例充分说明了本文方法的高分辨率和稳定性。
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| 关 键 词： | 中心加权基本无振荡格式 半离散格式 双曲守恒律 |
| 文章编号： | 1000-4939（2005）03-0479-05 |
| 收稿时间： | 2003-12-03 |
| 修稿时间： | 2003-12-032004-05-28 |
Fourth-order Semi-discrete Scheme for Multidimensional Hyperbolic Systems of Conservation Laws |
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| Cai Li,Feng Jianhu,Xie Wenxian.Fourth-order Semi-discrete Scheme for Multidimensional Hyperbolic Systems of Conservation Laws[J].Chinese Journal of Applied Mechanics,2005,22(3):479-483. |
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| Authors: | Cai Li Feng Jianhu Xie Wenxian |
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| Abstract: | based on a central weighted essentially non-oscillatory(CWENO) reconstruction,a fourth-order semi-discrete scheme for multidimensional hyperbolic systems of conservation laws is presented.The local speed of wave propagation in the Riemann fans is considered to avoid staggering between two grids.This semi-discrete scheme is situated between upwind scheme and central scheme with a lower numerical dissipation.As an extension of third-order,semi-discrete method of Kurganov et al,the higher resolution and robustness of this scheme are demonstrated via several numerical examples. |
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| Keywords: | central weighted essentially non-oscillatory scheme semi-discrete scheme hyperbolic conservation laws |
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