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带源项浅水波方程的高分辨率熵稳定格式

张海军 封建湖 程晓晗 李雪

张海军, 封建湖, 程晓晗, 李雪. 带源项浅水波方程的高分辨率熵稳定格式[J]. 应用数学和力学, 2018, 39(8): 935-945. doi: 10.21656/1000-0887.380195
引用本文: 张海军, 封建湖, 程晓晗, 李雪. 带源项浅水波方程的高分辨率熵稳定格式[J]. 应用数学和力学, 2018, 39(8): 935-945. doi: 10.21656/1000-0887.380195
ZHANG Haijun, FENG Jianhu, CHENG Xiaohan, LI Xue. An Entropy Stable Scheme for Shallow Water Equations With Source Terms[J]. Applied Mathematics and Mechanics, 2018, 39(8): 935-945. doi: 10.21656/1000-0887.380195
Citation: ZHANG Haijun, FENG Jianhu, CHENG Xiaohan, LI Xue. An Entropy Stable Scheme for Shallow Water Equations With Source Terms[J]. Applied Mathematics and Mechanics, 2018, 39(8): 935-945. doi: 10.21656/1000-0887.380195

带源项浅水波方程的高分辨率熵稳定格式

doi: 10.21656/1000-0887.380195
基金项目: 国家自然科学基金(11601037;11401045;11171043);中央高校基本科研业务费(310812171002)
详细信息
    作者简介:

    张海军(1992—),男,硕士生(E-mail: 2397381704@qq.com);封建湖(1960—),男,教授,博士,博士生导师(通讯作者. E-mail: jhfeng@chd.edu.cn).

  • 中图分类号: O354;O241.82

An Entropy Stable Scheme for Shallow Water Equations With Source Terms

Funds: The National Natural Science Foundation of China(11601037;11401045;11171043)
  • 摘要: 提出了一种求解带源项浅水波方程的熵稳定格式.新格式利用通量限制函数将一阶熵稳定格式和高阶熵守恒格式结合,具有熵守恒格式和熵稳定格式的优点:在解的光滑区域具有高精度,在解的间断区域避免了非物理现象的产生,同时可以准确地捕捉激波,从而达到高分辨率的效果.利用新格式计算了一维和二维的经典算例,数值结果表明,新格式是模拟带源项浅水波方程的理想方法.
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出版历程
  • 收稿日期:  2017-07-13
  • 修回日期:  2017-12-07
  • 刊出日期:  2018-08-15

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