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.

中文翻译：

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明渠和天然河水力学的广义Serre-Green-Naghdi方程

在本文中，我们提出了一种新的明渠和河水流量非线性分散模型。这些方程是截面平均（三维）不可压缩非旋转Euler系统的二阶浅水近似。这种新的渐近模型将众所周知的一维Serre–Green–Naghdi（SGN）方程推广到不平坦底部矩形截面到任意通道/河道截面。