Numerical simulation of two-dimensional strong turbulence flow with free surface in orthogonal curvilinear coordinate system

This paper is concerned with a mathematical model for two-dimensional strong turbulence flow with free surface including the effects of streamline curvature in orthogonal curvilinear coordinate system,with which the characteristics of the turbulence flow field on the ogee spillway is numerical simulated.In the numerical simulation,the flow control equation in orthogonal curvilinear coordinate system is discretized by the finite volume method; the physical parameters,pressure P,U,V,κ,ε,γ,etc.,are arranged on a staggered grid; the discretized equations are solved by SIMPLEC method; and the complex free surface is dealt with VOF method.The computed results show that the velocity fields,pressure field,shear stress distribution and kinetic energy of turbulent flow on the ogee spillway are in agreement with the experimental data.