| 求解双曲型守恒律的五阶松弛格式 |
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| 引用本文： | 陈建忠,史忠科,封建湖,胡彦梅.求解双曲型守恒律的五阶松弛格式[J].空气动力学学报,2008,26(4). |
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| 作者姓名： | 陈建忠 史忠科 封建湖 胡彦梅 |
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| 作者单位： | 1. 西北工业大学,陕西西安,710072
2. 长安大学理学院,陕西西安,710064 |
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| 基金项目： | 国家自然科学基金
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| 摘 要： | 给出了一种求解一维双曲型守恒律的五阶松弛格式.该格式以五阶WENO重构和显隐式Runge-Kutta方法为基础.本文格式保持了松弛格式简单的优点,即不用Riemann解算器和计算非线性通量函数的雅可比矩阵.用该格式对一维Euler方程进行了数值试验,并与三阶和四阶松弛格式的计算结果进行了比较,结果表明本文的格式具有更低的数值耗散和更高的分辨率.
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| 关 键 词： | 双曲型守恒律 松弛格式 WENO重构 |
A fifth order relaxation scheme for hyperbolic conservation laws |
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| CHEN Jian-zhong,SHI Zhong-ke,FENG Jian-hu,HU Yan-mei.A fifth order relaxation scheme for hyperbolic conservation laws[J].Acta Aerodynamica Sinica,2008,26(4). |
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| Authors: | CHEN Jian-zhong SHI Zhong-ke FENG Jian-hu HU Yan-mei |
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| Institution: | CHEN Jian-zhong1,SHI Zhong-ke1,FENG Jian-hu2,HU Yan-mei2(1.Northwestern Polytechnical University,Xi\'an 710072,China,2.College of Science,Chang\'an University,Xi\'an 710064,China) |
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| Abstract: | For hyperbolic conservation laws,a fifth-order relaxation scheme was presented.The scheme is based on the fifth-order weighted essentially nonoscillatory(WENO) reconstruction and the implicit-explicit Runge-Kutta scheme.The resulting scheme does not require Riemann solvers and the computation of Jacobians,so it enjoys the advantages of relaxation schemes.The one-dimensional Euler equations subject to different initial data are used to test the present scheme.To illustrate the improvement of our method,the r... |
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| Keywords: | hyperbolic conservation laws relaxation scheme WENO reconstruction |
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