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http://dx.doi.org/10.3741/JKWRA.2003.36.4.597

A Numerical Analysis of a Discontinuous Flow with TVD Scheme  

Jeon, Jeong-Sook (삼안건설기술공사 수자원부)
Lee, Bong-Hee (한양대학교 공과대학 토목공학과)
Cho, Yong-Sik (한양대학교 공과대학 토목공학과)
Publication Information
Journal of Korea Water Resources Association / v.36, no.4, 2003 , pp. 597-608 More about this Journal
Abstract
A transcritical flow occurs when the width and slope of a channel are varying abruptly. In this study, the transcritical flow in a two-dimensional open channel is analyzed by using the shallow-water equations. A weighted average flux scheme that has flux limiter with a total variation diminishing condition is introduced for a second-order accuracy in time and space, and non- spurious oscillations at discontinuous points. A HLLC method with three wane speeds is employed to calculate the Riemann problem. To overcome difficulties resulting from variation of channel sections in a two-dimensional analysis of transcritical flow, the numerical model is developed based on a generalized grid system.
Keywords
shallow-water equations; TVD scheme; HLLC method; transcritical flow; grid generation;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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