Abstract
In this paper, we present a numerical technique for the simulation of two-dimensional incompressible turbulent flows. In particular, the performance of the realizable Reynolds stress algebraic equation model and the high-order polynomial upwind scheme, TOPUS, is assessed for free surface incompressible turbulent flows. The Reynolds averaged Navier–Stokes equations and continuity equations are solved using the finite difference methodology on a staggered grid system. The numerical method is investigated by solving two free surface fluid flow problems, namely, a turbulent free jet impinging onto a flat surface and a broken dam. The method is then applied to simulate a sluice gate and a horizontal jet penetrating a quiescent fluid from an entry port beneath the free surface.
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