Abstract
Open-channel flows over a drop structure with a trench, often seen in urban rivers, may cause an oscillating phenomenon of hydraulic jumps depending on the trench geometry and hydraulic conditions. The oscillating hydraulic jumps are accompanied by large-scale water-surface variations with wave breaking, and numerical predictions of such flows are challenging in hydraulics. Using unsteady Reynolds-averaged Navier-Stokes simulations of air-water two-phase flows, we attempted to predict an oscillating hydraulic jump at a drop structure with a trench observed in our laboratory experiment. Several high-Reynolds-number turbulence models were applied, and the effects of turbulence models and grid resolutions on predicting the oscillating hydraulic jump were investigated. Turbulence models other than the k–ω SST model resulted in a steady-state flow with no oscillations regardless of the grid resolution. The k–ω SST model succeeded in predicting the oscillating hydraulic jump using a fine grid while the flow became a quasi-steady state using a coarse grid. Moreover, the period of the oscillation and the flow fields are in good agreement with the experimental results. The k–ω SST model has the ability to predict oscillating hydraulic jumps, including wave breaking, because this model accurately simulates flows with separations or stagnations under adverse pressure gradients.
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References
Devolder B, Rauwoens P, Troch P (2017) Application of a buoyancy-modified k–ω SST turbulence model to simulate wave run-up around a monopile subjected to regular waves using OpenFOAM®. Coastal Engineering 125:81–94, DOI: https://doi.org/10.1016/j.coastaleng.2017.04.004
Devolder B, Troch P, Rauwoens P (2018) Performance of a buoyancy-modified k–ω and k–ω SST turbulence model for simulating wave breaking under regular waves using OpenFOAM®. Coastal Engineering 138:49–65, DOI: https://doi.org/10.1016/j.coastaleng.2018.04.011
El Tahry SH (1983) k-epsilon equation for compressible reciprocating engine flows. Journal of Energy 7(4):345–353, DOI: https://doi.org/10.2514/3.48086
Fan W, Anglart H (2020) varRhoTurbVOF: A new set of volume of fluid solvers for turbulent isothermal multiphase flows in OpenFOAM. Computer Physics Communications 247:106876, DOI: https://doi.org/10.1016/j.cpc.2019.106876
Fujita I (2002) Particle image analysis of open-channel flow at a backward facing step having a trench. Journal of Visualization 5(4): 335–342, DOI: https://doi.org/10.1007/BF03182348
Fujita I, Maruyama T (2001) Hydraulic characteristics of open-channel flow downstream of a falling works with a trench. Journal of Hydraulic, Coastal and Environmental Engineering, JSCE 45:403–408, DOI: https://doi.org/10.2208/prohe.45.403 (in Japanese)
Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 39: 201–225, DOI: https://doi.org/10.1016/0021-9991(81)90145-5
Hirt CW, Nichols BD, Romero NC (1975) SOLA-A Numerical solution algorithm for transient fluid flows. Los Alamos Scientific Laboratory Report LA-5852:24–44
Launder BE, Spalding DB (1974) The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering 3(2):269–289, DOI: https://doi.org/10.1016/0045-7825(74)90029-2
Menter FR, Kuntz M, Langtry R (2003) Ten years of industrial experience with the SST turbulence model. Proceedings of the Fourth International Symposium on Turbulence, Heat and Mass Transfer 625–632, Antalya, Turkey
Mortazavi M, Chenadec VL, Moin P, Mani A (2016) Direct numerical simulation of a turbulent hydraulic jump: Turbulence statistics and air entrainment. Journal of Fluid Mechanics 797:60–94, DOI: https://doi.org/10.1017/jfm.2016.230
Mossa M, Petrillo A, Chanson H (2003) Tailwater level effects on flow conditions at an abrupt drop. Journal of Hydraulic Research 41(1): 39–51, DOI: https://doi.org/10.1080/00221680309499927
Mukha T, Almeland SK, Bensow RE (2022) Large-eddy simulation of a classical hydraulic jump: Influence of modelling parameters on the predictive accuracy. Fluids 7:101, DOI: https://doi.org/10.3390/fuids7030101
Nakayama A, Ikenaga K (2008) URANS calculation of open-channel flow with unsteady hydraulic jump. Journal of Applied Mechanics, JSCE 11:859–867, DOI: https://doi.org/10.2208/journalam.11.859 (in Japanese)
Namihira A, Takaki K (2019) Two dimensional URANS of unsteady flow over drop with trench. Journal of JSCE, Ser. B1 (Hydraulic Engineering) 75(2):I_577–I_582, DOI: https://doi.org/10.2208/jscejhe.75.2_i_577 (in Japanese)
Nishizima S (1998) Turbulent channel and homogeneous shear flows using a nonlinear eddy viscosity representation k–ε model. Journal of Institute of Industrial Science, The University of Tokyo 50(1):15–18, DOI: https://doi.org/10.11188/seisankenkyu.50.19 (in Japanese)
Padova DD, Mossa M (2021) Hydraulic jump: A brief history and research challenges. Watet 13(13):1733, DOI: https://doi.org/10.3390/w13131733
Padova DD, Mossa M, Sibilla S (2018) SPH numerical investigation of the characteristics of an oscillating hydraulic jump at an abrupt drop. Journal of Hydrodynamics 30:106–113, DOI: https://doi.org/10.1007/s42241-018-0011-z
Shih TH, Liou WW, Shabbir A, Yang Z, Zhu J (1995) A new k-e eddy viscosity model for high Reynolds number turbulent flows. Computers and Fluids 24(3):227–238, DOI: https://doi.org/10.1016/0045-7930(94)00032-T
Valero D, Viti N, Gualtieri C (2019) Numerical simulation of hydraulic jumps. Part 1: Experimental data for modelling performance assessment. Water 11(1):36, DOI: https://doi.org/10.3390/w11010036
Viti N, Valero D, Gualtieri C (2019) Numerical simulation of hydraulic jumps. Part 2: Recent results and future outlook. Water 11(1): 28, DOI: https://doi.org/10.3390/w11010028
Weinzaepfel P, Revaud J, Harchaoui Z, Schmid C (2013) DeepFlow: Large displacement optical flow with deep matching. 2013 IEEE International Conference on Computer Vision (ICCV):1385–1392, DOI: https://doi.org/10.1109/ICCV.2013.175
Weller HG (2006) A New approach to vof-based interface capturing methods for incompressible, compressible and cavitating flow; OpenCFD Technical Report TR/HGW/07; OpenCFD: Salfords, UK
Weller HG, Tabor G, Jasak H, Fureby C (1998) A tensorial approach to computational continuum mechanics using object-oriented techniques. Computers in Physics 12(6):620–631, DOI: https://doi.org/10.1063/1.168744
Wilcox DC (1998) Turbulence modeling for CFD (2nd ed.). DCW Industries, La Canada, California Yagi J, Murata Y, Yoshimura H, Fujita I, Nakayama K (2021) Experimental and numerical analyses of oscillating hydraulic jump at a drop structure with a trench. Journal of JSCE, Ser. B1 (Hydraulic Engineering) 77(2):I_871–I_876, DOI: https://doi.org/10.2208/jscejhe.77.2_i_871 (in Japanese)
Yakhot V, Orszag SA, Thangam S, Speziale CG (1992) Development of turbulence models for shear flows by a double expansion technique. Physics of Fluids A: Fluid Dynamics 4(7):1510–1520, DOI: https://doi.org/10.1063/1.858424
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Yoshimura, H., Fujita, I., Nakayama, K. et al. Effects of Different Turbulence Models on Prediction of Oscillating Hydraulic Jump at a Drop Structure with a Trench. KSCE J Civ Eng 28, 1041–1048 (2024). https://doi.org/10.1007/s12205-024-1581-7
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DOI: https://doi.org/10.1007/s12205-024-1581-7