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    Upwind Conservative Scheme for the Saint Venant Equations

    Source: Journal of Hydraulic Engineering:;2004:;Volume ( 130 ):;issue: 010
    Author:
    Xinya Ying
    ,
    Abdul A. Khan
    ,
    Sam S. Y. Wang
    DOI: 10.1061/(ASCE)0733-9429(2004)130:10(977)
    Publisher: American Society of Civil Engineers
    Abstract: An upwind conservative scheme with a weighted average water-surface-gradient approach is proposed to compute one-dimensional open channel flows. The numerical scheme is based on the control volume method. The intercell flux is computed by the one-sided upwind method. The water surface gradient is evaluated by the weighted average of both upwind and downwind gradients. The scheme is tested with various examples, including dam-break problems in channels with rectangular and triangular cross-sections, hydraulic jump, partial dam-break problem, overtopping flow, a steady flow over bump with hydraulic jump, and a dam-break flood case in a natural river valley. Comparisons between numerical and exact solutions or experimental data demonstrated that the proposed scheme is capable of accurately reproducing various open channel flows, including subcritical, supercritical, and transcritical flows. The scheme is inherently robust, stable, and monotone. The scheme does not require any special treatment, such as artificial viscosity or front tracking technique, to capture steep gradients or discontinuities in the solution.
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      Upwind Conservative Scheme for the Saint Venant Equations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/25644
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    contributor authorXinya Ying
    contributor authorAbdul A. Khan
    contributor authorSam S. Y. Wang
    date accessioned2017-05-08T20:44:42Z
    date available2017-05-08T20:44:42Z
    date copyrightOctober 2004
    date issued2004
    identifier other%28asce%290733-9429%282004%29130%3A10%28977%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/25644
    description abstractAn upwind conservative scheme with a weighted average water-surface-gradient approach is proposed to compute one-dimensional open channel flows. The numerical scheme is based on the control volume method. The intercell flux is computed by the one-sided upwind method. The water surface gradient is evaluated by the weighted average of both upwind and downwind gradients. The scheme is tested with various examples, including dam-break problems in channels with rectangular and triangular cross-sections, hydraulic jump, partial dam-break problem, overtopping flow, a steady flow over bump with hydraulic jump, and a dam-break flood case in a natural river valley. Comparisons between numerical and exact solutions or experimental data demonstrated that the proposed scheme is capable of accurately reproducing various open channel flows, including subcritical, supercritical, and transcritical flows. The scheme is inherently robust, stable, and monotone. The scheme does not require any special treatment, such as artificial viscosity or front tracking technique, to capture steep gradients or discontinuities in the solution.
    publisherAmerican Society of Civil Engineers
    titleUpwind Conservative Scheme for the Saint Venant Equations
    typeJournal Paper
    journal volume130
    journal issue10
    journal titleJournal of Hydraulic Engineering
    identifier doi10.1061/(ASCE)0733-9429(2004)130:10(977)
    treeJournal of Hydraulic Engineering:;2004:;Volume ( 130 ):;issue: 010
    contenttypeFulltext
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