hp Discontinuous Galerkin methods for advection dominated problems in shallow water flow

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High‐order semi‐implicit time‐integrators for a triangular discontinuous Galerkin oceanic shallow water model (2009, methodology): “(2006) [25] constructed shallow water models on triangles using a collapsed local coordinate discontinuous Galerkin method.”
A high‐order triangular discontinuous Galerkin oceanic shallow water model (2008, methodology): “[9] constructed shallow water models on triangles using a collapsed local coordinate (modal) discontinuous Galerkin method; while all four of these works made extensive use of grid generation to solve their problems, the work of Remacle et al.”
A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations (2009, background): “Refer to [ 16 ,24] for more details on our hydrodynamic model.”
Dynamic p-adaptive Runge–Kutta discontinuous Galerkin methods for the shallow water equations (2009, methodology): “Governing equations The SWE are applicable in describing free surface flow problems where the depth of a water body is sufficiently small compared with its horizontal flow scales.”