Numerical simulation of turbulent ow over labyrinth spillways/weirs and corresponding discharge coefficient and efficiency

Labyrinth spillway has become an appropriate choice to increase an existingspillway's capacity. thus, it is necessary to understand the hydraulic performance oflabyrinth spillways/weirs. this paper numerically solves turbulent ow over labyrinthspillways/weirs and determines the discharge coecients. reynolds governing equations,turbulence k ?? model, and the volume of fluid (vof) model are numerically solvedto dene pressure, velocity, and the free surface ow proles. the numerical results arecomparable to those obtained from physical modeling with maximum 6.43% error relativeto results of physical modeling. present study indicates that numerical simulation canbe used to supplement physical modeling. thus, by using numerical solutions, the sitespecics of the spillway which are often dierent from the conditions of design curves canbe investigated. also, the eect of dierent shapes of apex on discharge capacity of thelabyrinth spillway is investigated in this study. the analyses show that labyrinth spillwayswith round apex shape are the most ecient spillways. numerical determination of freewater surface is presented and discussed, which is helpful for optimum design of stillingbasin and leading walls.