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

被引：1

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

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022 | 2024年 / 35卷

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

页码：51 / 61

页数：11

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