Articles | Volume 11, issue 11
https://doi.org/10.5194/gmd-11-4359-2018
https://doi.org/10.5194/gmd-11-4359-2018
Model description paper
 | 
30 Oct 2018
Model description paper |  | 30 Oct 2018

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

Tuomas Kärnä, Stephan C. Kramer, Lawrence Mitchell, David A. Ham, Matthew D. Piggott, and António M. Baptista

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Cited articles

Aizinger, V. and Dawson, C.: The local discontinuous Galerkin method for three-dimensional shallow water flow, Comput. Meth. Appl. Mech. Eng., 196, 734–746, https://doi.org/10.1016/j.cma.2006.04.010, 2007.
Alnæs, M. S., Logg, A., Ølgaard, K. B., Rognes, M. E., and Wells, G. N.: Unified Form Language: A Domain-specific Language for Weak Formulations of Partial Differential Equations, ACM Trans. Math. Softw., 40, 9:1–9:37, https://doi.org/10.1145/2566630, 2014.
Beckmann, A. and Haidvogel, D. B.: Numerical Simulation of Flow around a Tall Isolated Seamount. Part I: Problem Formulation and Model Accuracy, J. Phys. Oceanogr., 23, 1736–1753, https://doi.org/10.1175/1520-0485(1993)023<1736:NSOFAA>2.0.CO;2, 1993.
Benjamin, T. B.: Gravity currents and related phenomena, J. Fluid Mech., 31, 209–248, https://doi.org/10.1017/S0022112068000133, 1968.
Bercea, G.-T., McRae, A. T. T., Ham, D. A., Mitchell, L., Rathgeber, F., Nardi, L., Luporini, F., and Kelly, P. H. J.: A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake, Geosci. Model Dev., 9, 3803–3815, https://doi.org/10.5194/gmd-9-3803-2016, 2016.
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Short summary
Unstructured meshes are attractive for coastal ocean modeling, as they allow more accurate representation of complex coastal topography. Unstructured mesh models are, however, often perceived as slow and inaccurate. We present a novel discontinuous Galerkin ocean model: Thetis. We demonstrate that the model is able to simulate baroclinic ocean flows with high accuracy on a triangular prismatic mesh. This work paves the way for highly accurate and efficient three-dimensional coastal ocean models.