CENTRAL SCHEMES WITH LAX-WENDROFF TYPE TIME DISCRETIZATIONS

Title & Authors
CENTRAL SCHEMES WITH LAX-WENDROFF TYPE TIME DISCRETIZATIONS
Shin, Su-Yeon; Hwang, Woon-Jae;

Abstract
The semi-discrete central scheme and central upwind scheme use Runge-Kutta (RK) time discretization. We do the Lax-Wendroff (LW) type time discretization for both schemes. We perform numerical experiments for various problems including two dimensional Riemann problems for Burgers` equation and Euler equations. The results show that the LW time discretization is more efficient in CPU time than the RK time discretization while maintaining the same order of accuracy.
Keywords
central scheme;Lax-Wendroff type time discretization;
Language
English
Cited by
1.
A TREATMENT OF CONTACT DISCONTINUITY FOR CENTRAL UPWIND SCHEME BY CHANGING FLUX FUNCTIONS,;;;

Journal of the Korean Society for Industrial and Applied Mathematics, 2013. vol.17. 1, pp.29-45
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