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

Standard

Application of Green−Naghdi Equations for Modeling Wave Flows with Undular Bores. / Ostapenko, V. V.

In: Doklady Physics, Vol. 64, No. 2, 01.02.2019, p. 66-69.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{acb552e69ca4413e886b4ca534560ded,

title = "Application of Green−Naghdi Equations for Modeling Wave Flows with Undular Bores",

abstract = "Abstract: 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.",

keywords = "WATER, PROPAGATION",

author = "Ostapenko, {V. V.}",

year = "2019",

month = feb,

day = "1",

doi = "10.1134/S1028335819020046",

language = "English",

volume = "64",

pages = "66--69",

journal = "Doklady Physics",

issn = "1028-3358",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Application of Green−Naghdi Equations for Modeling Wave Flows with Undular Bores

AU - Ostapenko, V. V.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - Abstract: 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.

AB - Abstract: 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.

KW - WATER

KW - PROPAGATION

UR - http://www.scopus.com/inward/record.url?scp=85064717011&partnerID=8YFLogxK

U2 - 10.1134/S1028335819020046

DO - 10.1134/S1028335819020046

M3 - Article

AN - SCOPUS:85064717011

VL - 64

SP - 66

EP - 69

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 2

ER -

ID: 19649555