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Simulation of Complex Free Surface Flows

Abstract : We study the Serre–Green-Naghdi system under a non-hydrostatic formulation, modellingincompressible free surface flows in shallow water regimes. This system, unlike the well-known (non-linear) Saint-Venant equations, takes into account the effects of the non-hydrostatic pressure term aswell as dispersive phenomena. Two numerical schemes are designed, based on a finite volume – finitedifference type splitting scheme and iterative correction algorithms. The methods are compared bymeans of simulations concerning the propagation of solitary wave solutions. The model is also assessedwith experimental data concerning the Favre secondary wave experiments .
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https://hal.archives-ouvertes.fr/hal-03104010
Contributor : Mohamed Ali Debyaoui <>
Submitted on : Thursday, June 3, 2021 - 2:12:51 PM
Last modification on : Friday, June 11, 2021 - 3:22:48 AM

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Krisztian Benyo, Ayoub Charhabil, Mohamed Ali Debyaoui, Yohan Penel. Simulation of Complex Free Surface Flows. ESAIM: Proceedings and Surveys, EDP Sciences, 2021, 70, pp.45-67. ⟨10.1051/proc/202107004⟩. ⟨hal-03104010v2⟩

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