Articles | Volume 11, issue 11
Geosci. Model Dev., 11, 4359–4382, 2018

Special issue: The Firedrake automatic code generation system

Geosci. Model Dev., 11, 4359–4382, 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 et al.

Related authors

Nemo-Nordic 2.0: Operational marine forecast model for the Baltic Sea
Tuomas Kärnä, Patrik Ljungemyr, Saeed Falahat, Ida Ringgaard, Lars Axell, Vasily Korabel, Jens Murawski, Ilja Maljutenko, Anja Lindenthal, Simon Jandt-Scheelke, Svetlana Verjovkina, Ina Lorkowski, Priidik Lagemaa, Jun She, Laura Tuomi, Adam Nord, and Vibeke Huess
Geosci. Model Dev. Discuss.,,, 2021
Preprint under review for GMD
Short summary
Plume spreading test case for coastal ocean models
Vera Fofonova, Tuomas Kärnä, Knut Klingbeil, Alexey Androsov, Ivan Kuznetsov, Dmitry Sidorenko, Sergey Danilov, Hans Burchard, and Karen Helen Wiltshire
Geosci. Model Dev. Discuss.,,, 2021
Preprint under review for GMD
Short summary

Related subject area

Evaluating the physical and biogeochemical state of the global ocean component of UKESM1 in CMIP6 historical simulations
Andrew Yool, Julien Palmiéri, Colin G. Jones, Lee de Mora, Till Kuhlbrodt, Ekatarina E. Popova, A. J. George Nurser, Joel Hirschi, Adam T. Blaker, Andrew C. Coward, Edward W. Blockley, and Alistair A. Sellar
Geosci. Model Dev., 14, 3437–3472,,, 2021
Short summary
Iron and sulfur cycling in the cGENIE.muffin Earth system model (v0.9.21)
Sebastiaan J. van de Velde, Dominik Hülse, Christopher T. Reinhard, and Andy Ridgwell
Geosci. Model Dev., 14, 2713–2745,,, 2021
Short summary
BFM17 v1.0: a reduced biogeochemical flux model for upper-ocean biophysical simulations
Katherine M. Smith, Skyler Kern, Peter E. Hamlington, Marco Zavatarelli, Nadia Pinardi, Emily F. Klee, and Kyle E. Niemeyer
Geosci. Model Dev., 14, 2419–2442,,, 2021
Short summary
A mechanistic analysis of tropical Pacific dynamic sea level in GFDL-OM4 under OMIP-I and OMIP-II forcings
Chia-Wei Hsu, Jianjun Yin, Stephen M. Griffies, and Raphael Dussin
Geosci. Model Dev., 14, 2471–2502,,, 2021
Short summary
Comparison of ocean vertical mixing schemes in the Max Planck Institute Earth System Model (MPI-ESM1.2)
Oliver Gutjahr, Nils Brüggemann, Helmuth Haak, Johann H. Jungclaus, Dian A. Putrasahan, Katja Lohmann, and Jin-Song von Storch
Geosci. Model Dev., 14, 2317–2349,,, 2021
Short summary

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,, 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,, 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,<1736:NSOFAA>2.0.CO;2, 1993.
Benjamin, T. B.: Gravity currents and related phenomena, J. Fluid Mech., 31, 209–248,, 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,, 2016.
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.