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@article{Kärnä:2018:10.5194/gmd-2017-292,
author = {Kärnä, T and Kramer, SC and Mitchell, L and Ham, DA and Piggott, MD and Baptista, AM},
doi = {10.5194/gmd-2017-292},
journal = {Geoscientific Model Development},
pages = {4359--4382},
title = {Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations},
url = {http://dx.doi.org/10.5194/gmd-2017-292},
volume = {11},
year = {2018}
}

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TY  - JOUR
AB  - 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.
AU  - Kärnä,T
AU  - Kramer,SC
AU  - Mitchell,L
AU  - Ham,DA
AU  - Piggott,MD
AU  - Baptista,AM
DO  - 10.5194/gmd-2017-292
EP  - 4382
PY  - 2018///
SN  - 1991-959X
SP  - 4359
TI  - Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations
T2  - Geoscientific Model Development
UR  - http://dx.doi.org/10.5194/gmd-2017-292
UR  - http://hdl.handle.net/10044/1/54780
VL  - 11
ER  -

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