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Two-dimensional Riemann problem for Burgers' equation
- Authors
- Yoon, Daeki; Hwang, Woonjae
- Issue Date
- 2월-2008
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- 2D Riemann problem; conservation laws; Burgers' equation; composite scheme
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.45, no.1, pp.191 - 205
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 45
- Number
- 1
- Start Page
- 191
- End Page
- 205
- ISSN
- 1015-8634
- 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.
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Related Researcher
- Hwang, Woon Jae
- 과학기술대학 (응용수리과학부 데이터계산과학전공)