TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION

Title & Authors
TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION
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
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CONSTRUCTION OF THE 2D RIEMANN SOLUTIONS FOR A NONSTRICTLY HYPERBOLIC CONSERVATION LAW, Bulletin of the Korean Mathematical Society, 2013, 50, 1, 201
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