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求解多维Euler方程的二阶旋转混合型格式

刘友琼 封建湖 任炯 龚承启

刘友琼, 封建湖, 任炯, 龚承启. 求解多维Euler方程的二阶旋转混合型格式[J]. 应用数学和力学, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008
引用本文: 刘友琼, 封建湖, 任炯, 龚承启. 求解多维Euler方程的二阶旋转混合型格式[J]. 应用数学和力学, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008
LIU You-qiong, FENG Jian-hu, REN Jiong, GONG Cheng-qi. A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008
Citation: LIU You-qiong, FENG Jian-hu, REN Jiong, GONG Cheng-qi. A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008

求解多维Euler方程的二阶旋转混合型格式

doi: 10.3879/j.issn.1000-0887.2014.05.008
基金项目: 国家自然科学基金(11171043);长安大学中央高校基本科研业务费项目(CHD2102TD015)
详细信息
    作者简介:

    刘友琼(1989—),女,云南人,硕士生(E-mail: youqiongliu@163.com)

  • 中图分类号: O354;O241.82

A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations

Funds: The National Natural Science Foundation of China(11171043)
  • 摘要: 提出了一个基于旋转Riemann求解器的二阶精度的Euler(欧拉)通量函数.不同于“网格相关”的有限体积方法或者维数分裂的有限差分方法,本格式是基于旋转Riemann求解器将HLLC格式与HLL格式进行特定结合而得到的一类混合型数值格式.在激波法向采用HLL格式从而抑制红斑现象,在激波方向采用HLLC格式从而避免产生过多的耗散.新的旋转混合型格式具有结构简单、无红斑、高分辨率等优点.数值算例充分说明了新格式消除Euler方程激波不稳定现象的有效性和鲁棒性.
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出版历程
  • 收稿日期:  2013-06-08
  • 修回日期:  2014-04-03
  • 刊出日期:  2014-05-15

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