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

Chu, Shaoshuai1; Kurganov, Alexander2,3; Xin, Ruixiao1

10.1007/978-3-031-55264-9_5

2024

18th International Conference on Hyperbolic Problems - Theory, Numerics, and Applications (HYP)

2199-3041

2199-305X

978-3-031-55263-2

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022

35

JUN 20-24, 2022

null,Malaga,SPAIN

GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND

SPRINGER INTERNATIONAL PUBLISHING AG

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.

A-WENO schemes Low-dissipation central-upwind scheme Euler equations of gas dynamics

第一 ; 通讯

英语

CPCI-S

NSFC["12171226","12111530004"] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]

Mathematics

Mathematics, Applied

WOS:001284751300005

Web of Science

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

Chu, Shaoshuai,Kurganov, Alexander,Xin, Ruixiao. A Fifth-Order A-WENO Scheme Based on the Low-Dissipation Central-Upwind Fluxes[C]. GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND:SPRINGER INTERNATIONAL PUBLISHING AG,2024.