Simulation of turbulent shallow water flows by solving 2D depth-averaged Reynolds-Averaged Navier-Stokes (RANS) equations using DG method

During my job at the University of Sheffield, I extended the LISFLOOD-FP, which is an open-source flood modelling tool, to enable it simulating turbulent shallow flows. For this aim, the 2D depth-averaged Reynolds-Averaged Navier-Stokes (RANS) equations based on the k-\(\varepsilon\) formulation are solved using the second-order discontinuous Galerkin (DG2) method which needs many new developments within DG2 framework and LISFLOOD-FP as well. This new flood tool with excelent capabilities to accurately capture the mean and turbulent flow features have been extensively examined through different practical flood related applications which shows promising results.

Results