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    2D Serre-Green-Naghdi Equations over Topography: Elliptic Operator Inversion Method

    Source: Journal of Hydraulic Engineering:;2024:;Volume ( 150 ):;issue: 001::page 04023054-1
    Author:
    Sergey Gavrilyuk
    ,
    Keh-Ming Shyue
    DOI: 10.1061/JHEND8.HYENG-13703
    Publisher: ASCE
    Abstract: Multidimensional Serre–Green–Naghdi equations are numerically solved by using a natural hyperbolic-elliptic splitting. The hyperbolic step is solved by semidiscret finite volume methods. The elliptic step is related to recovering nonhydrostatic pressure. One-dimensional (1D) and two-dimensional (2D) test problems (i.e., 1D solitary wave propagation, 2D dam-break problem, solitary wave overstep and overhump) are considered.
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      2D Serre-Green-Naghdi Equations over Topography: Elliptic Operator Inversion Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4297637
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    contributor authorSergey Gavrilyuk
    contributor authorKeh-Ming Shyue
    date accessioned2024-04-27T22:50:33Z
    date available2024-04-27T22:50:33Z
    date issued2024/01/01
    identifier other10.1061-JHEND8.HYENG-13703.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4297637
    description abstractMultidimensional Serre–Green–Naghdi equations are numerically solved by using a natural hyperbolic-elliptic splitting. The hyperbolic step is solved by semidiscret finite volume methods. The elliptic step is related to recovering nonhydrostatic pressure. One-dimensional (1D) and two-dimensional (2D) test problems (i.e., 1D solitary wave propagation, 2D dam-break problem, solitary wave overstep and overhump) are considered.
    publisherASCE
    title2D Serre-Green-Naghdi Equations over Topography: Elliptic Operator Inversion Method
    typeJournal Article
    journal volume150
    journal issue1
    journal titleJournal of Hydraulic Engineering
    identifier doi10.1061/JHEND8.HYENG-13703
    journal fristpage04023054-1
    journal lastpage04023054-14
    page14
    treeJournal of Hydraulic Engineering:;2024:;Volume ( 150 ):;issue: 001
    contenttypeFulltext
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