3-D Stochastic model for turbulent silt-laden flows

Abstract

A 3-D stochastic model is developed for turbulent silt-laden flows in the Xiaolangdi river. Based on the stochastic theory of turbulent flows, Reynolds stresses for anisotropic turbulent flows, a pressure Poisson equation for free surface flow and a refined wall function for solid wall boundaries are obtained. In body-fitted coordinates, the finite volume method (FVM) is used to discretize the turbulent equations together with a staggered grid system, and the SIMPLEC algorithm is applied to simulate the flow over the complex geometry field. Finally, this mathematical model is applied to simulate water levels, silt concentrations and velocity distributions at the various cross-sections in this river, and all the computed results agreed well with the observed data, indicating this model and this computational schedule are reliable.