A lattice Boltzmann model for the shallow water equations with turbulence modeling

A lattice Boltzmann model for the shallow water equations with turbulence modeling (LABSWE(TM)) is developed. The flow turbulence is efficiently and naturally taken into account by incorporating the standard subgrid-scale stress model into the lattice Boltzmann equation in a consistent manner with the lattice gas dynamics. The model is applied to solve two flow problems and is verified by comparing numerical predictions with analytical solutions and available experimental data. The results show that the LABSWE(TM) is able to provide basic features of flow turbulence and produce good predictions for turbulent shallow water flows.