Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2011; 48(4): 873-896

Printed July 1, 2011

https://doi.org/10.4134/BKMS.2011.48.4.873

Copyright © The Korean Mathematical Society.

Central schemes with Lax-Wendroff type time discretizations

Suyeon Shin and Woonjae Hwang

Korea University, Korea University

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

MSC numbers: Primary 65M06

Stats or Metrics

Share this article on :

Related articles in BKMS