Generalised Serre–Green–Naghdi equations for open channel and for natural river hydraulics-Reference-Cited by-同舟云学术

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

Published:2021-08-09 Issue:3-4 Volume:124 Page:343-369
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Debyaoui Mohamed Ali¹,Ersoy Mehmet¹

Affiliation:

1. Université de Toulon, IMATH EA 2134, 83957 La Garde, France. E-mails: Mohamed-Ali-Debyaoui@etud.univ-tln.fr, Mehmet.Ersoy@univ-tln.fr

Abstract

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.

Publisher

IOS Press

Subject

General Mathematics

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2. A Generalised Serre-Green-Naghdi Equations for Variable Rectangular Open Channel Hydraulics and Its Finite Volume Approximation;SEMA SIMAI Springer Series;2021