A Fifth-Order A-WENO Scheme Based on the Low-Dissipation Central-Upwind Fluxes

被引:0
|
作者
Chu, Shaoshuai [1 ]
Kurganov, Alexander [2 ,3 ]
Xin, Ruixiao [1 ]
机构
[1] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
[2] Southern Univ Sci & Technol, Dept Math, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China
[3] Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China
关键词
A-WENO schemes; Low-dissipation central-upwind scheme; Euler equations of gas dynamics;
D O I
10.1007/978-3-031-55264-9_5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a new fifth-order A-WENO scheme based on the low-dissipation central-upwind numerical fluxes recently proposed in [A. Kurganov and R. Xin, preprint]. We apply the developed scheme to the one- and two-dimensional Euler equations of gas dynamics and illustrate its performance on a variety of examples. The obtained numerical results clearly demonstrate that the proposed A-WENO scheme is as robust and at the same time more accurate than the existing A-WENO schemes, which are based on alternative central-upwind fluxes.
引用
收藏
页码:51 / 61
页数:11
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