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 -