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http://dx.doi.org/10.3741/JKWRA.2009.42.12.1079

Handling Method for Flux and Source Terms using Unsplit Scheme  

Kim, Byung-Hyun (School of Archi. & Civil Engineering, Kyungpook National Univ.)
Han, Kun-Yeon (School of Archi. & Civil Engineering, Kyungpook National Univ.)
Kim, Ji-Sung (Post-Doc., River and Coastal Research Division, Korea Institute of Construction Technology)
Publication Information
Journal of Korea Water Resources Association / v.42, no.12, 2009 , pp. 1079-1089 More about this Journal
Abstract
The objective of this study is to develop the accurate, robust and high resolution two-dimensional numerical model that solves the computationally difficult hydraulic problems, including the wave front propagation over dry bed and abrupt change in bathymetry. The developed model in this study solves the conservative form of the two-dimensional shallow water equations using an unsplit finite volume scheme and HLLC approximate Riemann solvers to compute the interface fluxes. Bed-slope term is discretized by the divergence theorem in the framework of FVM for application of unsplit scheme. Accurate and stable SGM, in conjunction with the MUSCL which is second-order-accurate both in space and time, is adopted to balance with fluxes and source terms. The exact C-property is shown to be satisfied for balancing the fluxes and the source terms. Since the spurious oscillations in second-order schemes are inherent, an efficient slope limiting technique is used to supply TVD property. The accuracy, conservation property and application of developed model are verified by comparing numerical solution with analytical solution and experimental data through the simulations of one-dimensional dam break flow without bed slope, steady transcritical flow over a hump and two-dimensional dam break flow with a constriction.
Keywords
unsplit scheme; source terms; MUSCL scheme; SGM; conservation property;
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Times Cited By KSCI : 4  (Citation Analysis)
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