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http://dx.doi.org/10.3741/JKWRA.2005.38.2.155

New Treatment of Source Terms in Upwind Schemes  

Kim, Won (한국건설기술연구원 수자원연구부)
Han, Kun-Yeun (경북대학교 토목공학과)
Woo, Hyo-Seop (한국건설기술연구원 수자원연구부)
Choi, Kyu-Hyun (경북대학교 토목공학과)
Publication Information
Journal of Korea Water Resources Association / v.38, no.2, 2005 , pp. 155-166 More about this Journal
Abstract
Upwind schemes are very well adapted to the discontinuous flow and have become popular for applications Involving dam break flow, transcritical Slow, etc. However, upwind schemes have been applied mainly to the idealized problems not to the natural channels with irregular geometry so far because of the error due to source terms. In this paper, the new type of upwind discretization of source terms, which uses the normalized Jacobian to discretize the source terms, is proposed. As results of tests to flows with source terms by the upwind models, the method proposed in this paper is proved as efficient and accurate. This generalized method for differencing source terms is simple and might beapplicable to diverse type of flux upwind discretization scheme in finite difference method.
Keywords
upwind scheme; source term; discontinuous flow; hydraulic jump;
Citations & Related Records
Times Cited By KSCI : 9  (Citation Analysis)
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