Simulation of complex free surface flows

Simulation of complex free surface flows

We study the Serre-Green-Naghdi system under a non-hydrostatic formulation, modelling incompressible free surface flows in shallow water regimes. This system, unlike the well-known (nonlinear) Saint-Venant equations, takes into account the effects of the non-hydrostatic pressure term as well as disp...

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Main Authors: Benyo Krisztian, Charhabil Ayoub, Debyaoui Mohamed-Ali, Penel Yohan
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://www.esaim-proc.org/articles/proc/pdf/2021/01/proc2107004.pdf
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spelling doaj-4b893562592b470eb6670cb855c0a1632021-07-15T14:18:27ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592021-01-0170456710.1051/proc/202107004proc2107004Simulation of complex free surface flowsBenyo Krisztian0Charhabil Ayoub1Debyaoui Mohamed-Ali2Penel Yohan3Laboratoire d’Hydraulique Saint-Venant, EDF R&D, ENPCLaboratoire Analyse, Géométrie et Applications, Université Paris 13IMATH - Institut de Mathématiques de ToulonINRIA Paris — Sorbonne Université — CNRS (LJLL), team ANGEWe study the Serre-Green-Naghdi system under a non-hydrostatic formulation, modelling incompressible free surface flows in shallow water regimes. This system, unlike the well-known (nonlinear) Saint-Venant equations, takes into account the effects of the non-hydrostatic pressure term as well as dispersive phenomena. Two numerical schemes are designed, based on a finite volume - finite difference type splitting scheme and iterative correction algorithms. The methods are compared by means of simulations concerning the propagation of solitary wave solutions. The model is also assessed with experimental data concerning the Favre secondary wave experiments [12].https://www.esaim-proc.org/articles/proc/pdf/2021/01/proc2107004.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Benyo Krisztian
Charhabil Ayoub
Debyaoui Mohamed-Ali
Penel Yohan
spellingShingle Benyo Krisztian
Charhabil Ayoub
Debyaoui Mohamed-Ali
Penel Yohan
Simulation of complex free surface flows
ESAIM: Proceedings and Surveys
author_facet Benyo Krisztian
Charhabil Ayoub
Debyaoui Mohamed-Ali
Penel Yohan
author_sort Benyo Krisztian
title Simulation of complex free surface flows
title_short Simulation of complex free surface flows
title_full Simulation of complex free surface flows
title_fullStr Simulation of complex free surface flows
title_full_unstemmed Simulation of complex free surface flows
title_sort simulation of complex free surface flows
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2021-01-01
description We study the Serre-Green-Naghdi system under a non-hydrostatic formulation, modelling incompressible free surface flows in shallow water regimes. This system, unlike the well-known (nonlinear) Saint-Venant equations, takes into account the effects of the non-hydrostatic pressure term as well as dispersive phenomena. Two numerical schemes are designed, based on a finite volume - finite difference type splitting scheme and iterative correction algorithms. The methods are compared by means of simulations concerning the propagation of solitary wave solutions. The model is also assessed with experimental data concerning the Favre secondary wave experiments [12].
url https://www.esaim-proc.org/articles/proc/pdf/2021/01/proc2107004.pdf
work_keys_str_mv AT benyokrisztian simulationofcomplexfreesurfaceflows
AT charhabilayoub simulationofcomplexfreesurfaceflows
AT debyaouimohamedali simulationofcomplexfreesurfaceflows
AT penelyohan simulationofcomplexfreesurfaceflows
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