Central-upwind scheme for 2D turbulent shallow flows using high-resolution meshes with scalable wall functions

Abstract

In this paper, the Reynolds-averaged Navier Stokes equations supplemented by the algebraic stress model are solved using the central-upwind scheme for simulating 2D turbulent shallow flows. The model is of spatially and temporally second-order accurate. To increase the accuracy, high-resolution meshes up to 3.4 million cells (6.8 million edges) are used. Consequently, a strategy combining the hydrostatic and topography reconstructions and the scalable wall functions – is proposed to accurately simulate wet–dry phenomena near the interfaces (moving boundary geometries) thus ensuring a proper calculation for the turbulence properties. This strategy has been proven to be accurate and to not deteriorate the results for such very fine meshes thus giving flexibility to users in generating meshes.