Application of Green-Naghdi Equations for Modeling Wave Flows with Undular Bores

被引：1
作者：
Ostapenko, V. V. [1 ,2 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Lavrentev Inst Hydrodynam, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
DOKLADY PHYSICS | 2019年 / 64卷 / 02期
关键词：
WATER; PROPAGATION;
D O I：
10.1134/S1028335819020046
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The basic conservation laws in the Green-Naghdi model of shallow-water theory are derived from the two-dimensional integral conservation laws of mass and the total momentum describing the plane-parallel flow in an ideal incompressible fluid above a horizontal bottom. This conclusion is based on the concept of a local hydrostatic approximation, which generalizes the concept of the long-wavelength approximation and is used for analyzing the applicability of the Green-Naghdi equations in modeling the wave flows of a fluid with undular bores.
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收藏
页码：66 / 69
页数：4
相关论文
共 15 条
  • [1] [Anonymous], HYPERBOLIC SYSTEMS C
  • [2] [Anonymous], IZV ROSS AKAD NAUK M
  • [3] Bukreev V.I., 2004, WATER RESOUR+, V31, P497, DOI [10.1023/B:WARE.0000041918.96034.f5, DOI 10.1023/B:WARE.0000041918.96034.F5]
  • [4] Unsteady undular bores in fully nonlinear shallow-water theory
    El, GA
    Grimshaw, RHJ
    Smyth, NF
    [J]. PHYSICS OF FLUIDS, 2006, 18 (02)
  • [5] WATER WAVES ON A SHALLOW SLOPING BEACH
    FRIEDRICHS, KO
    [J]. COMMUNICATIONS ON APPLIED MATHEMATICS, 1948, 1 (02): : 109 - 134
  • [6] THEORY OF WATER WAVES
    GREEN, AE
    LAWS, N
    NAGHDI, PM
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1974, 338 (1612): : 43 - 55
  • [7] Open-channel waves generated by propagation of a discontinuous wave over a bottom step
    Gusev, A. V.
    Ostapenko, V. V.
    Malysheva, A. A.
    Malysheva, I. A.
    [J]. JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2008, 49 (01) : 23 - 33
  • [8] Henderson F.M., 1966, Open Channel Flow
  • [9] A numerical scheme for the Green-Naghdi model
    Le Metayer, O.
    Gavrilyuk, S.
    Hank, S.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (06) : 2034 - 2045
  • [10] Lyapidevsky V.Yu., 2000, Mathematical Models of Propagation of Long Waves in an Inhomogeneous Liquid
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