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http://dx.doi.org/10.3741/JKWRA.2017.50.5.289

Review on the divergence form for bed slope source term and correction of the volume/free-surface relationship  

Hwang, Seung-Yong (Hydro Science and Engineering Research Institute, KICT)
Publication Information
Journal of Korea Water Resources Association / v.50, no.5, 2017 , pp. 289-302 More about this Journal
Abstract
DFB (Divergence Form for Bed slope source term) was rigorously derived and the error of mDFB using mean water depth at the cell face in DFB was clearly demonstrated. In addition, DFB technique turned out to be an exact method to the bed slope source term. The existing volume/free-surface relationship to the PSC (Partially Submerged Cell) has been corrected. It was discussed that treatment for the partially submerged edge is required to satisfy the C-property in PSC. It is expected that this study will provides a more accurate means in analyzing the shallow water equations with the approximate Riemann solver.
Keywords
Divergence form for bed slope source term; Volume/free-surface relationship; Shallow water equations; Well-balancedness; Riemann solver;
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