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

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

长安大学理学院, 西安 710064

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
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- 文章访问数: 1398
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- 被引次数: 0
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

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

School of Sciences, Chang’an University, Xi’an 710064, P.R.China

Funds: The National Natural Science Foundation of China（11171043）

摘要

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.
- 激波不稳定 /
- Euler方程 /
- 无红斑 /
- 旋转混合型格式
Abstract: A second-order Euler flux function based on the rotated Riemann solver approach was presented. This scheme was different from the grid-aligned finite-volume method or the finite-difference method based on dimensional splitting. It was a hybrid numerical scheme developed through particular combination of the HLLC scheme and HLL scheme. The HLL scheme was applied in the direction normal to shock waves to suppress the carbuncle phenomenon and the HLLC scheme was applied across shear layers to avoid excessive numerical dissipation. Numerical experiments show that the new rotated-hybrid scheme is extremely simple, carbuncle-free and highly efficient.
- numerical shock wave instability /
- Euler equation /
- carbuncle-free /
- rotated-hybrid scheme

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参考文献(20)

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