Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics

被引：2
|
作者：
Debyaoui, Mohamed Ali [1 ]
Ersoy, Mehmet [1 ]
机构：
[1] Univ Toulon & Var, IMATH EA 2134, F-83957 La Garde, France
来源：
ASYMPTOTIC ANALYSIS | 2021年 / 124卷 / 3-4期
关键词：
Open channel flow; river flow; Euler equations; asymptotic approximation; Serre-Green-Naghdi equations; free surface shallow water equations; non-hydrostatic pressure; dispersive; SHALLOW-WATER EQUATIONS; BOUSSINESQ EQUATIONS; DERIVATION; WAVES; FLOW; MODEL; FORM;
D O I：
10.3233/ASY-201647
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new non-linear dispersive model for open channel and river flows. These equations are the second-order shallow water approximation of the section-averaged (three-dimensional) incompressible and irrotational Euler system. This new asymptotic model generalises the well-known one-dimensional Serre-Green-Naghdi (SGN) equations for rectangular section on uneven bottom to arbitrary channel/river section.
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页码：343 / 369
页数：27
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