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Large Eddy Simulation of flow in a T-shaped open-channel bifurcation

Shan Gao*; Okba Mostefaoui; Emmanuel Mignot; Tom De Mulder*

Abstract

Open-channel bifurcations occur at river islands or delta-shaped mouths, and in engineered hydraulic systems, like water intakes and combined sewer overflows. The complex flow features are often studied experimentally or numerically at laboratory scale. In such systems, flow separation and recirculation strongly influence mass transport, mixing processes, and energy losses. This numerical study focuses on the detailed flow in a laboratory-scale bifurcation, making use of straight channels with rectangular cross-sections and concordant, fixed and smooth beds, where the lateral branch is perpendicular to the main channel, yielding an intersection with sharp edges. It is designed to replicate a flow configuration studied experimentally at INSA Lyon, where 3D particle tracking velocimetry revealed helical ascending trajectories within the recirculation region. The numerical model employs a Large Eddy Simulation (LES), wall functions, a synthetic turbulence generator at the inlet, and the Volume of Fluid (VoF) method to capture the free surface. The simulation reproduces junction flow features, including flow separation at the upstream junction corner and the formation of a recirculation zone in the lateral branch. Model performance is evaluated by comparison with the experimental data, including time-averaged velocity fields, streamlines, and the rotation centres at different elevations in the recirculation zone. The numerical results demonstrate the predictive capability of the present LES model. After verification whether a wall-resolved model version has a superior quality, the impact of Froude number and width-to-depth ratio on the flow features will be studied with the selected model version in future research.

Full text

Large Eddy Simulation of flow in a T-shaped open-channel bifurcation Shan Gao1, Okba Mostefaoui2, Emmanuel Mignot2 and Tom De Mulder1 1Hydraulics Laboratory, Department of Civil Engineering, Ghent University, Belgium 2INSA Lyon, CNRS, Ecole Centrale Lyon, Univ. Claude Bernard Lyon 1, Lyon, France An open-channel bifurcation consists of a main channel and a lateral channel, where the flow in the upstream main channel partially diverts into the lateral branch. Examples: ╺Upstream of islands in rivers - Delta-shaped river mouths ╺Junctions of tidal river and tributary ╺Water intakes for irrigation, cooling, industrial processes ╺At combined sewer overflows. Experimental study by Mostefaoui et al. (2024a) at INSA Lyon (France): ╺ Branches of equal width B = 0.30 m and length L = 2 m ╺ Width-to-depth ratio ≈ 4.2 ╺ Upstream discharge = 4 L/s ╺ Upstream Froude number ≈ 0.22 ╺ Lateral-to-upstream discharge ratio ≈ 0.45 ╺ Flow depth (set by sharp-crested weirs in both outlets) h = 0.072 m OpenFOAM Large Eddy Simulation (LES) Standard Smagorinsky, Van Driest damping three-layer wall functions (similar to Jin et al., 2023) Time-averaged velocity field available, based upon small, homemade fluorescent tracer particles (Mostefaoui et al., 2024b), a laser source, four cameras (Minishaker TR) and 3D-PTV software (Davis10, LaVision). Location of centers of rotation in the recirculation zone Longitudinal component of time-averaged velocity (made dimensionless by the bulk velocity in the upstream branch) in a horizontal plane of lateral branch at z/h = 0.85 2D Pseudo-streamlines of time-averaged velocity field in a horizontal plane of lateral branch at z/h = 0.85 Results Experimental flow configuration Introduction Numerical model Flow configuration and coordinate system Experimental Numerical 3D streamlines of time-averaged velocity field colored by elevation z/h of its points, illustrating helical ascending flow in recirculation zone of lateral branch, confirming Neary et al. (1999) References Jin, T., Ramos, P. X., Mignot, E., Riviere, N., & De Mulder, T. (2023). On the delineation of the flow separation zone in open-channel confluences. Advances in Water Resources, 180, 104525. Mostefaoui, O., Mignot, E., Lopez, D., Massardier-Nageotte, V. (2024a). Behavior of microplastic particles in a recirculation zone. River Flow 2024 - 12th Int. Conf. on Fluvial Hydraulics, Sep. 2024, Liverpool, UK. Mostefaoui, O., Lopez, D., Mignot, E., & Massardier-Nageotte, V. (2024b). Custom-made spherical fluorescent tracer particles for laser Velocimetry Laboratory Experiments.DFlow Meas. and Instrumentation,D99, 102665. Neary, V. S., Sotiropoulos, F., & Odgaard, A. J. (1999). Three-dimensional numerical model of lateral-intake inflows. Journal of Hydraulic Engineering, 125(2), 126-140.  Experimental Experimental Numerical Numerical