Modeling Swash Zone Hydrodynamics Using Discontinuous Galerkin Finite-Element Method

A two-dimensional numerical model for the solution of nonlinear shallow water equations (NSWEs) using discontinuous Galerkin finite element method (DGFEM) is presented. new adaptation thin-film approach developed wetting/drying treatment. The applied to a number test cases that can be characterized as swash flows, or are particularly useful flow modeling. DGFEM shows robustness and provides accurate predictions depth, velocities, shoreline movement. For case bore collapse on plane beach performs well against state-of-the-art volume code. algorithm tested previous within same framework simulating solitary wave propagating with bottom friction, showing noticeable improvement in prediction. also more subtle case, including generation subharmonic edge waves, order effectiveness reproducing second-order effects. simulates excitation development waves when compared analytical solutions literature. Overall, it shown here first time technique used simulate accurately wide range zone flows therefore processes.