Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws

被引：11

作者：

Garg, Naveen Kumar ^{[1
,2
]}

Kurganov, Alexander ^{[1
,3
]}

Liu, Yongle ^{[1
,4
]}

机构：

[1] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China

[2] Indian Inst Sci, IISc Math Initiat IMI, Bangalore 560012, Karnataka, India

[3] Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China

[4] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2021年 / 428卷

关键词：

Central-upwind schemes; Discrete Rankine-Hugoniot conditions; Numerical dissipation switch; Local speeds of propagation; Euler equations of gas dynamics; 2-DIMENSIONAL RIEMANN PROBLEMS; CENTRAL WENO SCHEMES; DIFFERENCE-SCHEMES; GAS-DYNAMICS; RESOLUTION; SOLVER;

D O I：

10.1016/j.jcp.2020.110078

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study semi-discrete central-upwind schemes and develop a new technique that allows one to decrease the amount of numerical dissipation present in these schemes without compromising their robustness. The goal is achieved by obtaining more accurate estimates for the one-sided local speeds of propagation using the discrete Rankine-Hugoniot conditions. In the two-dimensional case, these estimates are further enhanced with the help of the numerical dissipation switch mechanism, which is automatically activated near contact discontinuities and shear layers. The resulting central-upwind Rankine-Hugoniot schemes are tested on a number of numerical examples for both the oneand twodimensional Euler equations of gas dynamics. The obtained results clearly demonstrate the superiority of the proposed method over the existing semi-discrete central-upwind schemes. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：18

共 42 条

[1]

[Anonymous], 1996, NUMERICAL APPROXIMAT

[2] New two- and three-dimensional non-oscillatory central finite volume methods on staggered Cartesian grids [J].