TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 45, Issue 1, 2008, pp.191-205
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2008.45.1.191

Title & Authors

TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION

Yoon, Dae-Ki; Hwang, Woon-Jae;

Yoon, Dae-Ki; Hwang, Woon-Jae;

Abstract

In this paper, we construct the analytic solutions and numerical solutions for a two-dimensional Riemann problem for Burgers' equation. In order to construct the analytic solution, we use the characteristic analysis with the shock and rarefaction base points. We apply the composite scheme suggested by Liska and Wendroff to compute numerical solutions. The result is coincident with our analytic solution. This demonstrates that the composite scheme works pretty well for Burgers' equation despite of its simplicity.

Keywords

2D Riemann problem;conservation laws;Burgers' equation;composite scheme;

Language

English

Cited by

1.

CENTRAL SCHEMES WITH LAX-WENDROFF TYPE TIME DISCRETIZATIONS,;;

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