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http://dx.doi.org/10.4134/BKMS.2008.45.1.191

TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION  

Yoon, Dae-Ki (DEPARTMENT OF MATHEMATICS KOREA UNIVERSITY)
Hwang, Woon-Jae (DEPARTMENT OF INFORMATION AND MATHEMATICS KOREA UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 191-205 More about this Journal
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;
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