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Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations

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Title: Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations
Authors: Kärnä, T
Kramer, SC
Mitchell, L
Ham, DA
Piggott, MD
Baptista, AM
Item Type: Journal Article
Abstract: Unstructured grid ocean models are advantageous for simulating the coastal ocean and river-estuary-plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive which limits their applicability to real life problems. In this paper, we describe a novel discontinuous Galerkin (DG) finite element discretization for the hydrostatic equations. The formulation is fully conservative and second-order accurate in space and time. Monotonicity of the advection scheme is ensured by using a strong stability preserving time integration method and slope limiters. Compared to previous DG models advantages include a more accurate mode splitting method, revised viscosity formulation, and new second-order time integration scheme. We demonstrate that the model is capable of simulating baroclinic flows in the eddying regime with a suite of test cases. Numerical dissipation is well-controlled, being comparable or lower than in existing state-of-the-art structured grid models.
Issue Date: 30-Oct-2018
Date of Acceptance: 9-Oct-2018
URI: http://hdl.handle.net/10044/1/54780
DOI: https://dx.doi.org/10.5194/gmd-2017-292
ISSN: 1991-959X
Publisher: Copernicus Publications
Start Page: 4359
End Page: 4382
Journal / Book Title: Geoscientific Model Development
Volume: 11
Copyright Statement: © Author(s) 2018. This work is distributed under the Creative Commons Attribution 4.0 License (https://creativecommons.org/licenses/by/4.0/)
Sponsor/Funder: Natural Environment Research Council (NERC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: NE/K008951/1
EP/L000407/1
EP/M011054/1
Keywords: physics.ao-ph
Publication Status: Published
Open Access location: https://www.geosci-model-dev.net/11/4359/2018/
Online Publication Date: 2018-10-09
Appears in Collections:Faculty of Engineering
Mathematics
Computing
Earth Science and Engineering
Centre for Environmental Policy
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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