Reference : 1D unified mathematical model for environmental flow applied to steady aerated mixed flows
Scientific journals : Article
Engineering, computing & technology : Civil engineering
http://hdl.handle.net/2268/31317
1D unified mathematical model for environmental flow applied to steady aerated mixed flows
English
Kerger, François [ > > ]
Erpicum, Sébastien mailto [Université de Liège - ULg > Département Argenco : Secteur MS2F > Hydraulique génér., const. hydraul. et méc. des fluides >]
Dewals, Benjamin mailto [Université de Liège - ULg > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH) >]
Archambeau, Pierre mailto [Université de Liège - ULg > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH) >]
Pirotton, Michel mailto [Université de Liège - ULg > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH) >]
Sep-2011
Advances in Engineering Software
Elsevier Science
42
9
660-670
Yes (verified by ORBi)
International
0965-9978
Oxford
United Kingdom
[en] Finite volume method ; Homogeneous Equilibrium Model ; Preissmann slot ; Local Instant Formulation ; Air-entrainmen ; Hydraulic engineering
[fr] Ecoulement ; Transport d'air ; Hydraulique
[en] Hydraulic models available in literature are unsuccessful in simulating accurately and efficiently environmental flows characterized by the presence of both air–water interactions and free-surface/pressurized transitions (aka mixed flows). The purpose of this paper is thus to fill this knowledge gap by developing a unified one-dimensional mathematical model describing free-surface, pressurized and mixed flows with air–water interactions. This work is part of a general research project which aims at establishing a unified mathematical model suitable to describe the vast majority of flows likely to appear in civil and environmental engineering (pure water flows, sediment transport, pollutant transport, aerated flows. . .). In order to tackle this problem, our original methodology consists in both time- and spaceaveraging the Local Instant Formulation, which includes field equations for each phase taken separately and jump conditions, over a flow cross-section involving a free-surface. Subsequently, applicability of the model is extended to pressurized flows as well. The first key result is an original 1D homogeneous Equilibrium Model which describes two-phase free-surface flows. It is proven to be fundamentally multiphase, to take into account scale heterogeneities of environmental flow and to be very easy to solve.
Next, applicability of this free-surface model is extended to pressurized flows by using the classical Preissmann slot concept. A second key result here is the introduction of an original negative Preissmann slot to simulate sub-atmospheric pressurized flows. The model is then closed by using constitutive equations suitable for air–water flows. Finally, this mathematical model is discretised by means of a finite volume scheme and validated by comparison with experimental results from a physical model in the case of a steady flow in a large scale gallery.
Aquapôle - AQUAPOLE
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Researchers ; Professionals
http://hdl.handle.net/2268/31317
10.1016/j.advengsoft.2011.04.012
http://www.sciencedirect.com/science/article/pii/S0965997811000950

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