Boundary discretization for high‐order discontinuous Galerkin computations of tidal flows around shallow water islands (original) (raw)

In this paper are presented some preliminary results concerning the application of the high order discontinuous Galerkin (DG) method for the resolution of realistic problems of tidal flows around shallow water islands. In particular, tidal flows are computed around the Rattray island located in the Great Barrier Reef. This island is a standard benchmark problem well documented in the literature providing useful in situ measurements for validation of the model. Realistic elements of the simulation are a tidal flow forcing, a variable bathymetry and a non trivial coastline.