No / 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.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/11563 |
| Date | 16 January 2012 |
| Creators | Pu, Jaan H., Cheng, N., Tan, S.K., Shao, Songdong |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Article, No full-text in the repository |
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