Discontinuous Galerkin methods for a dispersive wave hydro-sediment-morphodynamic model

A dispersive wave hydro-sediment-morphodynamic model developed by complementing the shallow water (SHSM) equations with term from Green–Naghdi is presented. numerical solution algorithm for based on second-order Strang operator splitting The partitioned into two parts, (1) SHSM and (2) correction part, which are discretized using discontinuous Galerkin finite element methods. This technique provides a facility to select dynamically regions of problem domain where not applied, e.g. breaking no longer valid. Algorithms that can handle wetting–drying detect provided number examples presented validate algorithm. results simulations indicate capable predicting sediment transport bed morphodynamic processes correctly empirical models suspended load properly calibrated. Moreover, able accurately capture hydrodynamics dispersion effects up swash zones, its application justified prevalent.