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    1‐D Open‐Channel Flow Simulation Using TVD‐McCormack Scheme

    Source: Journal of Hydraulic Engineering:;1992:;Volume ( 118 ):;issue: 010
    Author:
    P. García‐Navarro
    ,
    F. Alcrudo
    ,
    J. M. Savirón
    DOI: 10.1061/(ASCE)0733-9429(1992)118:10(1359)
    Publisher: American Society of Civil Engineers
    Abstract: The addition of a dissipation step to the widely used McCormack numerical scheme is proposed for solving one‐dimensional open‐channel flow equations. The extra step is devised according to the theory of total variation diminishing (TVD) schemes that are capable of capturing sharp discontinuities without generating the spurious oscillations that more classical methods do. At the same time, the extra step does not introduce any additional difficulty for the treatment of the source terms of the equations. Results from several computations are presented and comparison with the analytical solution for some test problems is shown. The overall performance of the method can be considered very good, and it allows for accurate open‐channel flow computations involving hydraulic jumps and bores.
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      1‐D Open‐Channel Flow Simulation Using TVD‐McCormack Scheme

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    http://yetl.yabesh.ir/yetl1/handle/yetl/23561
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    • Journal of Hydraulic Engineering

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    contributor authorP. García‐Navarro
    contributor authorF. Alcrudo
    contributor authorJ. M. Savirón
    date accessioned2017-05-08T20:41:19Z
    date available2017-05-08T20:41:19Z
    date copyrightOctober 1992
    date issued1992
    identifier other%28asce%290733-9429%281992%29118%3A10%281359%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/23561
    description abstractThe addition of a dissipation step to the widely used McCormack numerical scheme is proposed for solving one‐dimensional open‐channel flow equations. The extra step is devised according to the theory of total variation diminishing (TVD) schemes that are capable of capturing sharp discontinuities without generating the spurious oscillations that more classical methods do. At the same time, the extra step does not introduce any additional difficulty for the treatment of the source terms of the equations. Results from several computations are presented and comparison with the analytical solution for some test problems is shown. The overall performance of the method can be considered very good, and it allows for accurate open‐channel flow computations involving hydraulic jumps and bores.
    publisherAmerican Society of Civil Engineers
    title1‐D Open‐Channel Flow Simulation Using TVD‐McCormack Scheme
    typeJournal Paper
    journal volume118
    journal issue10
    journal titleJournal of Hydraulic Engineering
    identifier doi10.1061/(ASCE)0733-9429(1992)118:10(1359)
    treeJournal of Hydraulic Engineering:;1992:;Volume ( 118 ):;issue: 010
    contenttypeFulltext
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