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Title: Source term treatment of SWEs using surface gradient upwind method
Authors: Pu, Jaan Hui
Cheng, Nian-Sheng
Tan, Soon Keat
Shao, Songdong
Issue Date: 2012
Source: Pu, J. H., Cheng, N.-S., Tan, S. K., & Shao, S. (2012). Source term treatment of SWEs using surface gradient upwind method. Journal of Hydraulic Research, 50(2), 145-153.
Series/Report no.: Journal of hydraulic research
Abstract: Owing to unpredictable bed topography conditions in natural shallow flows, various numerical methods have been developed to improve the treatment of source terms in the shallow water equations. The surface gradient method is an attractive approach as it includes a numerically simple approach to model flows over topographically-varied channels. To further improve the performance of this method, this study deals with the numerical improvement of the shallow-flow source terms. The so-called surface gradient upwind method (SGUM) integrates the source term treatment in the inviscid discretization scheme. A finite volume model (FVM) with the monotonic upwind scheme for conservative laws is used. The Harten–Lax–van Leer-contact approximate Riemann solver is used to reconstruct the Riemann problem in the FVM. The proposed method is validated against published analytical, numerical, and experimental data, indicating that the SGUM is robust and treats the source terms in different flow conditions well.
DOI: 10.1080/00221686.2011.649838
Rights: © 2012 International Association for Hydro-Environment Engineering and Research.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:CEE Journal Articles

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