hp discontinuous Galerkin methods for the vertical extent of the water column in coastal settings part I: Barotropic forcing

CJ Conroy, EJ Kubatko - Journal of Computational Physics, 2016 - Elsevier
In this article, we present novel, high-order, discontinuous Galerkin (DG) methods for the
vertical extent of the water column in coastal settings. We examine the shallow water …

Discontinuous Galerkin methods for multi-layer ocean modeling: Viscosity and thin layers

RL Higdon - Journal of Computational Physics, 2020 - Elsevier
The work described here is part of a continuing project to develop, analyze, and test some
procedures for using discontinuous Galerkin (DG) numerical methods in multi-layer …

An automatically well-balanced formulation of pressure forcing for discontinuous Galerkin methods for the shallow water equations

RL Higdon - Journal of Computational Physics, 2022 - Elsevier
This paper begins a development of methods for addressing variable bottom topography in
discontinuous Galerkin numerical methods for multi-layer, variable-density models of ocean …

Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem

F Guillén-González, MV Redondo-Neble… - Journal of Numerical …, 2021 - degruyter.com
Abstract We propose a Discontinuous Galerkin (DG) scheme for the hydrostatic Stokes
equations. These equations, related to large-scale PDE models in oceanography, are …