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    Source term treatment of SWEs using surface gradient upwind method

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    Publication date
    2012
    Author
    Pu, Jaan H.
    Cheng, N.
    Tan, S.K.
    Shao, Songdong
    Keyword
    Finite volume model; Harten–Lax–van Leer-contact solver; Monotonic upwind scheme; Source term; Surface gradient upwind method; Well-balanced scheme
    Peer-Reviewed
    Yes
    
    Metadata
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    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.
    URI
    http://hdl.handle.net/10454/11563
    Version
    No full-text in the repository
    Citation
    Pu JH, Cheng N, Tan SK et al (2012) Source term treatment of SWEs using surface gradient upwind method. Journal of Hydraulic Research. 50(2): 145-153.
    Link to publisher’s version
    http://dx.doi.org/10.1080/00221686.2011.649838
    Type
    Article
    Collections
    Engineering and Digital Technology Publications

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