Simulation numérique des écoulements mixtes hautement transitoires dans les conduites d'évacuation des eaux

Kerger, François; Archambeau, Pierre; Erpicum, Sébastien; Dewals, Benjamin; Pirotton, Michel

doi:10.1051/lhb/2009069

Cited by 6 publications

(8 citation statements)

References 22 publications

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“…Both pure water flows and air-water interactions were considered. Furthermore, the new code underpinned the design of actual hydraulic structures like a gravity drainage system, a low pressure sewer system (Kerger et al 2009), and the bottom outlet of a dam (Kerger et al 2011). Here the results of the most evocative cases are presented.…”

Section: Validation and Applicationmentioning

confidence: 99%

“…The free surface and pressurized flows are computed by means of a single set of equations. Only four models appear to fall into this category: the Preissmann slot and its improvements (Leon et al 2008, Kerger et al 2009), the two-component pressure approach (TPA) (Vasconcelos and Wright 2007), the dual model , and the kinetic model . Further, only two references propose to integrate air-water interactions into a shock-capturing model.…”

Section: Introductionmentioning

confidence: 99%

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Three-phase bi-layer model for simulating mixed flows

Kerger

Archambeau

Dewals

et al. 2012

Journal of Hydraulic Research

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Section: Validation and Applicationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-phase bi-layer model for simulating mixed flows

Kerger

Archambeau

Dewals

et al. 2012

Journal of Hydraulic Research

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“…Classical Preissmann slot fails to account for this kind of flows. In order to simulate such pressurized flows with a piezometric head below the pipe crown, the authors propose a new concept, called negative Preissmann slot [2].…”

Section: Liquidmentioning

confidence: 99%

“…water intakes). In addition, dynamic pipe filling bores may occur in hydraulic structures designed only for conveying free-surface flow under an extreme water inflow or upon starting a pump [1,2]. During such a transition, highly transient phenomena appear and may cause structural damages to the system [3], generate geysers through vertical shafts [4], engender flooding, .…”

Section: Introductionmentioning

confidence: 99%

1D unified mathematical model for environmental flow applied to steady aerated mixed flows

Kerger

Erpicum

Dewals

et al. 2011

Advances in Engineering Software

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a b s t r a c tHydraulic 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.

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“…The closed-sections were treated the same way as open sections, except that an artificial slot was added at the top of the section (figures 3a and 3b). In the classical Preissmann theory, the slot width reflects the pipe dilation and the water compressibility under a pressure fluctuation, and has therefore very small orders of magnitude (about 10 -5 m for the pipes existing in the "Rieu des Barges" river) (Kerger et al, 2009). Using this value would have led to extremely small time steps.…”

Section: Data Processingmentioning

confidence: 99%

River modelling and flood mitigation in a Belgian catchment

Duy¹,

Archambeau²,

Dewals³

et al. 2010

Proceedings of the Institution of Civil Engineers - Water Manag

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This paper describes the steps followed to propose solutions to recurring flooding problems in a Belgian catchment. Firstly, the hydraulic capacity (maximum discharge before bank overflow) of the cross sections was computed all along the river by an iterative 1D steady-state approach. In order to carry out these simulations, cross sections from site surveys of the river were integrated into the model, as well as hydraulic structures such as culverts, footbridges, and pipes. Secondly, the flooding problem was analysed with a time-dependant approach consisting of simulating floods following extreme rainfall events. The hydrological aspect was studied in a spatially distributed way using a multi-layer hydrological model. The available data on the basin such as the digital elevation model (DEM), the landuse, and the pedology were exploited to identify the basic modelling parameters. The hydrological contribution was routed by a 1D network resulting from the merging of the DEM-based and the cross section-based river networks. According to the results of the aforementioned steps, various local and catchment-wide solutions against flooding were proposed and analyzed. The comparison of simulated situations before and after these improvements allowed checking the effectiveness of the proposed solutions. 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 AbstractThis paper describes the steps followed to propose solutions to recurring flooding problems in a Belgian catchment. Firstly, the hydraulic capacity (maximum discharge before bank overflow) of the cross sections was computed all along the river by an iterative 1D steady-state approach. In order to carry out these simulations, cross sections from site surveys of the river were integrated into the model, as well as hydraulic structures such as culverts, footbridges, and pipes. Secondly, the flooding problem was analysed with a time-dependant approach consisting of simulating floods following extreme rainfall events. The hydrological aspect was studied in a spatially distributed way using a multi-layer hydrological model. The available data on the basin such as the digital elevation model (DEM), the landuse, and the pedology were exploited to identify the basic modelling parameters. The hydrological contribution was routed by a 1D network resulting from the merging of the DEM-based and the cross section-based river networks. According to the results of the aforementioned steps, various local and catchment-wide solutions against flooding were proposed and analyzed. The comparison of simulated situations before and after these improvements allowed checking the effectiveness of the proposed solutions.

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Simulation numérique des écoulements mixtes hautement transitoires dans les conduites d'évacuation des eaux

Cited by 6 publications

References 22 publications

Three-phase bi-layer model for simulating mixed flows

Three-phase bi-layer model for simulating mixed flows

1D unified mathematical model for environmental flow applied to steady aerated mixed flows

River modelling and flood mitigation in a Belgian catchment

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