| 基于WENO重构的熵稳定格式求解浅水方程 |
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| 引用本文： | 程晓晗,聂玉峰,蔡力.基于WENO重构的熵稳定格式求解浅水方程[J].计算物理,2015,32(5):523-528. |
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| 作者姓名： | 程晓晗 聂玉峰 蔡力 |
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| 作者单位： | 西北工业大学应用数学系, 陕西 西安 710072 |
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| 基金项目： | 国家自然科学基金(11171043,11471261);西北工业大学博士论文创新基金(CX201426)资助项目 |
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| 摘 要： | 针对浅水方程,提出一种数值求解格式:空间方向采用满足熵稳定条件的数值通量,并在单元交界面处进行高阶WENO重构,时间上的推进采用强稳定的Runge-Kutta方法.模拟一维和二维经典问题,结果表明,该格式具有分辨率高、基本无振荡性等特点.
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| 关 键 词： | 浅水方程 熵稳定通量 WENO重构 |
| 收稿时间： | 2014-08-26 |
| 修稿时间： | 2014-12-01 |
WENO Based Entropy Stable Scheme for Shallow Water Equations |
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| CHENG Xiaohan,NIE Yufeng,CAI Li.WENO Based Entropy Stable Scheme for Shallow Water Equations[J].Chinese Journal of Computational Physics,2015,32(5):523-528. |
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| Authors: | CHENG Xiaohan NIE Yufeng CAI Li |
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| Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China |
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| Abstract: | A high resolution scheme is presented for shallow water equations. The scheme is based on entropy stable numerical flux with high order weighted essentially non-oscillatory (WENO) reconstruction at cell interfaces. A strong stability-preserving Runge-Kutta method is employed to advance in time. Several benchmark numerical examples demonstrate that the scheme is accurate and non-oscillatory. |
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| Keywords: | shallow water equations entropy stable flux WENO reconstruction |
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