Two-Dimensional Riemann Problem for Burgers' Equation
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In this paper, we construct the analytic solutions and nu-merical solutions for a two-dimensional Riemann problem for Burgers’equation. In order to construct the analytic solution, we use the charac-teristic analysis with the shock and rarefaction base points. We apply thecomposite scheme suggested by Liska and Wendro to compute numer-ical solutions. The result is coincident with our analytic solution. Thisdemonstrates that the composite scheme works pretty well for Burgers’equation despite of its simplicity.
Abstract
In this paper, we construct the analytic solutions and nu-merical solutions for a two-dimensional Riemann problem for Burgers’equation. In order to construct the analytic solution, we use the charac-teristic analysis with the shock and rarefaction base points. We apply thecomposite scheme suggested by Liska and Wendro to compute numer-ical solutions. The result is coincident with our analytic solution. Thisdemonstrates that the composite scheme works pretty well for Burgers’equation despite of its simplicity.
참고문헌 (18)
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