Fifth-order semi-discrete central-upwind scheme for hyperbolic conservation laws

被引：0

作者：

Hu, Yanmei ^{[1
]}

Chen, Jianzhong ^{[2
]}

Feng, Jianhu ^{[1
]}

机构：

[1] College of Science, Chang'an University, Xi'an 710064, China

[2] Northwestern Polytechnical University, Xi'an 710072, China

来源：

Jisuan Wuli/Chinese Journal of Computational Physics | 2008年 / 25卷 / 01期

关键词：

Euler equations - Gas dynamics - Runge Kutta methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A fifth-order semi-discrete central-upwind scheme for hyperbolic conservation laws is proposed. In one dimension, the scheme is baaed on a fifth-order central weighted essentially nonoacillatory (WENO) reconstruction. In two dimensions, the reconstruction is generalized by a dimension-by-dimension approach. A Runge-Kutta method is employed in time integration. The method requires neither Riemann solvers nor characteristic decomposition and therefore enjoys main advantage of the central schemes. The present scheme is verified by one and two dimensional Euler equations of gas dynamics and shows high resolution and high accuracy.

引用

页码：29 / 35