Modeling positive surge propagation in open channels using the Serre-Green-Naghdi equations

Biswas, Tirtha Roy; Dey, Subhasish; Sen, Debabrata

doi:10.1016/j.apm.2021.04.028

Cited by 10 publications

(3 citation statements)

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“…In all these works the effect of the channel cross-sectional shape on these waves is primarily governed by the channel bank slope. As for numerical models of dispersive waves in arbitrary cross section channels, the Serre-Green-Naghdi equations are mostly considered, which requires a two-dimensional model (Chassagne et al 2019, Biswas et al 2021).…”

Section: Aim Of Present Workmentioning

confidence: 99%

“…Modeling these bores, as well as more complex situations in practical engineering applications, would benefit from a spacetime numerical integration of the proposed governing equations. Numerical scheme based on the classical Serre-Green-Naghdi have already been successfully used in this context (Chassagne et al 2019, Biswas et al 2021, giving interesting clues for the numerical treatment of the proposed equations.…”

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confidence: 99%

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Serre Equations in Channels and Rivers of Arbitrary Cross Section

Violeau

2023

J. Hydraul. Eng.

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A variational approach is used to derivate a set of Serre equations for fully nonlinear, dispersive waves in channels of arbitrary cross-section. A family of travelling waves is found, as well as the relation between amplitude and celerity of solitary waves. An upper bound is proposed for the solitary wave amplitude as a function of the Froude number in trapezoidal cross-sectional canals, showing good agreement with an existing theory. For waves of moderate amplitude, cnoidal waves result with a soliton limit; the latter waves and their properties (celerity, wave number) are written as functions of the channel bank slope and channel bank curvature. The theoretical findings are in agreement with well-established results of the literature, in particular with more recent Boussinesq-type theories. A validation is proposed against existing experimental data.

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Section: Aim Of Present Workmentioning

confidence: 99%

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confidence: 99%

Serre Equations in Channels and Rivers of Arbitrary Cross Section

Violeau

2023

J. Hydraul. Eng.

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“…To obtain better insight into the evolution of undular bores, many physical experiment (Lin et al, 2020a;2020b;Montes and Chanson, 1998;Soares-Frazão and Zech, 2002a;Treske, 1994) have been conducted over a long period of time. In recent years, numerical models incorporating non-hydrostatic effects (Biscarini et al, 2010;Biswas et al, 2021;Bristeau et al, 2011;Castro-Orgaz and Chanson, 2021;Chang et al, 2014;Hatland and Kalisch, 2019;Kim and Lynett, 2011;Mohapatra and Chaudhry, 2004;Munoz and Constantinescu, 2020;Soares-Frazão and Guinot, 2008;Soares-Frazão and Zech, 2002a;Vargas-Magana et al, 2021) have been developed and successfully applied to simulate undular bores. Most of them are Boussinesq-type models (Castro-Orgaz and Chanson, 2021;Chang et al, 2014;Hatland and Kalisch, 2019;Kim and Lynett, 2011;Mohapatra and Chaudhry, 2004;Soares-Frazão and Guinot, 2008;Soares-Frazão and Zech, 2002a;Vargas-Magana et al, 2021), which are depth-integrated formulations and incorporate dispersive terms to account for non-hydrostatic effects.…”

Section: Introductionmentioning

confidence: 99%

An efficient three-dimensional non-hydrostatic model for undular bores in open channels

Ding

et al. 2021

Physics of Fluids

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A three-dimensional (3D) non-hydrostatic model is presented to simulate open-channel free-surface flows involving undular bores. The 3D unsteady mass conservation and momentum equations are solved using an explicit projection method in a nonstandard staggered grid. The grid system is built from a two-dimensional horizontal structured grid by adding horizontal layers. The model is validated using four typical benchmark problems, including undular bore development, an undular bore generated by a sudden discharge, and two test cases involving undular hydraulic jumps. The proposed model results are compared with experimental data and results from other models. Overall, the agreement between the proposed model results and experimental data is generally good, demonstrating the capability of the model to resolve undular bores. In addition, the non-hydrostatic pressure field under the undular free surface is revealed, and the efficiency of the proposed model is presented. It is shown that the proposed model behaves better than a volume of fluid model in terms of efficiency, because the proposed model can use fewer computational grid cells to resolve undular bores in open channels.

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CFD Modeling and Effect of Radial Distribution Function on Slurry Transport Parameters

Kumar,

Adak

2024

Lecture Notes in Mechanical Engineering

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Modeling positive surge propagation in open channels using the Serre-Green-Naghdi equations

Cited by 10 publications

References 50 publications

Serre Equations in Channels and Rivers of Arbitrary Cross Section

Serre Equations in Channels and Rivers of Arbitrary Cross Section

An efficient three-dimensional non-hydrostatic model for undular bores in open channels

CFD Modeling and Effect of Radial Distribution Function on Slurry Transport Parameters

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