| 双曲型守恒律的一种三阶松弛格式 |
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| 引用本文： | 陈建忠,史忠科.双曲型守恒律的一种三阶松弛格式[J].动力学与控制学报,2007,5(4):289-292. |
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| 作者姓名： | 陈建忠 史忠科 |
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| 作者单位： | 西北工业大学自动化学院,西安,710072 |
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| 摘 要： | 对一维双曲型守恒律,给出了一种形式更简单、计算量更小的三阶松弛格式.该格式以三阶WENO重构和三阶显隐式Runge-Kutta方法为基础.由于不用求解Riemann问题和计算非线性通量函数的雅可比矩阵,所以本文格式保持了松弛格式简单的优点.数值试验表明:该方法具有较高的分辨率.
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| 关 键 词： | 双曲型守恒律 松弛格式 WENO重构 显隐式Runge-Kutta方法 |
| 收稿时间： | 2006-06-30 |
| 修稿时间： | 2006-10-18 |
A third order relaxation scheme for hyperbolic conservation laws |
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| Chen Jianzhong and Shi Zhongke.A third order relaxation scheme for hyperbolic conservation laws[J].Journal of Dynamics and Control,2007,5(4):289-292. |
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| Authors: | Chen Jianzhong and Shi Zhongke |
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| Abstract: | A new third-order relaxation scheme for hyperbolic conservation laws was presented,which combined third-order WENO reconstruction for spatial discretization with third-order implicit-explicit Runge-Kutta method for time discretization.The new scheme is much simpler and less computationally expensive than the original one.The resulting scheme does not require Riemann solvers and the computation of Jacobians,so it remains the advantages of relaxation schemes.The new scheme was tested on several numerical examples,and the results showed it had high resolution. |
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| Keywords: | hyperbolic conservation laws relaxation scheme WENO reconstruction implicit-explicit Runge-Kutta method |
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