Second-order closure study of river-harbour flow

Abstract

A complete second-order closure model of turbulence has been used to predict the behaviour of fully developed turbulent flow in a square river harbour. For the two dimensional, this closure model entails the solution of five differential equations for the turbulence parameters, excluding the three general equations of motion. The turbulent flow was driven by a stationary current in an adjacent model river. Emphasis has been focused on comparing the simple and more sophisticated turbulence models, including the Reynolds and algebraic stress models to predict accurately the velocity patterns within such basins. The governing equations have been discretized using the finite difference method. The advective acceleration terms in the hydrodynamics equations were treated using the third order upwind scheme, whereas the counterpart terms in the k-e equations were treated using the exquisite scheme. Experimental data from the model river harbour were used to check the numerical model results, which found that both of the closure models of turbulence generally produced accurate results for the tests considered within the harbour