A Three-Dimensional Model for Suspended Sediment Transport under Waves and Currents Based on the Discontinuous Galerkin Method

A three-dimensional numerical model has been developed in the present paper with an aim to simulate suspended sediment transport under waves and currents. The modelling system consists of two coupled model components: (i) the NS equations for the hydrodynamic model, including wave effects, (ii) the advection-diffusion equation for the suspended sediment transport model. In this work, the derivation, design, and implementation of the discontinuous Galerkin (DG) method based on unstructured meshes are presented. Finally, a comparison is made between a numerical simulation and laboratory measurement data, the agreement between the simulated results and measurements is generally good.