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Numerical simulation and analysis of water flow over stepped spillways. (English) Zbl 1422.76098
Summary: Numerical simulation of water flow over the stepped spillway is conducted using Mixture multiphase flow model. Different turbulence models are chosen to enclose the controlling equations. The turbulence models investigated are realizable \(k-\varepsilon \) model, SST \(k-\omega \) model, \(v ^{2}-f\) model and LES model. The computational results by the four turbulence models are compared with experimental ones in the following aspects: mean velocity, the spanwise vorticity and the growth of the turbulent boundary layer thickness in the streamwise direction. It is found from the comparison that the realizable \(k-\varepsilon \) model, in which the rotation tensor is included, shows good performance for simulation of flows involving rotation, boundary layer and recirculation. The realizable \(k-\varepsilon \) model is the most efficient in simulating flow over stepped spillways. Further, the characteristics of water flow on the stepped spillway are studied in terms of the mean velocity profile normal to the pseudo-bottom and the pressure field on the steps based on the simulation results using realizable \(k-\varepsilon \) model.

76F60 \(k\)-\(\varepsilon\) modeling in turbulence
Full Text: DOI
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