Thetis publications

Citing Thetis

If you publish results obtained with Thetis, please cite the 2018 GMD paper. Also see instructions for citing Firedrake.


Mawson, E.E., Lee, K.C., Hill, J.: Sea level rise and the Great Barrier Reef: the future implications on reef tidal dynamics. Journal of Geophysical Research: Oceans, 127:e2021JC017823, doi:10.1029/2021JC017823, 2022.

Wallwork, J. G., Barral, N., Ham, D. A., Piggott, M. D.: Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling. Computer-Aided Design, 145:103187, doi:10.1016/j.cad.2021.103187, 2022.

Clare, M. C. A., Wallwork, J. G., Kramer, S. C., Weller, H., Cotter, C. J., Piggott, M. D.: Multi-scale hydro-morphodynamic modelling using mesh movement methods. GEM - International Journal on Geomathematics, 13:1, doi:10.1007/s13137-021-00191-1, 2022.


Fofonova, V., Kärnä, T., Klingbeil, K., Androsov, A., Kuznetsov, I., Sidorenko, D., Danilov, S., Burchard, H., Wiltshire, K. H.: Plume spreading test case for coastal ocean models. Geosci. Model Dev., 14:6945–6975, doi:10.5194/gmd-14-6945-2021, 2021.

Bateman, M. D., Kinnaird, T. C., Hill, J., Ashurst, R. A., Mohan, J., Bateman, R. B. I., Robinson, R.: Detailing the impact of the Storegga Tsunami at Montrose, Scotland. Boreas, bor.12532, doi:10.1111/bor.12532, 2021.

Pan, W., Kramer, S. C., and Piggott, M. D.: A sigma-coordinate non-hydrostatic discontinuous finite element coastal ocean model. Ocean Modelling, 157:101732, doi:10.1016/j.ocemod.2020.101732, 2021.

Rasheed, S., Warder, S. C., Plancherel, Y., and Piggott, M. D.: Response of tidal flow regime and sediment transport in North Malé Atoll, Maldives, to coastal modification and sea level rise. Ocean Science, 17:319–334, doi:10.5194/os-17-319-2021, 2021.

Mackie, L., Evans, P. S., Harrold, M. J., O`Doherty, T., Piggott, M. D. and Angeloudis, A.: Modelling an energetic tidal strait: investigating implications of common numerical configuration choices. Applied Ocean Research, 108:102494, doi:10.1016/j.apor.2020.102494, 2021.

Clare, M. C. A., Percival, J. R., Angeloudis, A., Cotter, C. J. and Piggott, M. D.: Hydro-morphodynamics 2D modelling using a discontinuous Galerkin discretisation. Computers & Geosciences, 146:104658, doi:10.1016/j.cageo.2020.104658, 2021.

Warder, S. C., Horsburgh, K. J. and Piggott, M. D.: Adjoint-based sensitivity analysis for a numerical storm surge model. Ocean Modelling, 160:101766, doi:10.1016/j.ocemod.2021.101766, 2021.


Mackie, L., Coles, D., Piggott, M., Angeloudis, A.: The Potential for Tidal Range Energy Systems to Provide Continuous Power: A UK Case Study. J. Mar. Sci. Eng, 8:80, doi:10.3390/jmse8100780, 2020.

Angeloudis, A., Kramer, S. C., Hawkins, N., and Piggott, M. D.: On the potential of linked-basin tidal power plants: An operational and coastal modelling assessment. Renewable Energy, 155:876–888, doi:10.1016/j.renene.2020.03.167, 2020.

Baker, A. L., Craighead, R. M., Jarvis, E. J., Stenton, H. C., Angeloudis, A., Mackie, L., Avdis, A., Piggott, M. D., and Hill, J.: Modelling the impact of tidal range energy on species communities, Ocean & Coastal Management, 193:105221, doi:10.1016/j.ocecoaman.2020.105221, 2020.

Goss, Z. L., Coles, D. S., and Piggott, M. D.: Identifying economically viable tidal sites within the Alderney Race through optimization of levelized cost of energy. Phil. Trans. R. Soc. A, 2178:20190500, doi:10.1098/rsta.2019.0500, 2020.

Pan, W., Kramer, S. C., Kärnä, T., and Piggott, M. D.: Comparing non-hydrostatic extensions to a discontinuous finite element coastal ocean model. Ocean Modelling, 151:101634, doi:10.1016/j.ocemod.2020.101634, 2020.

Kärnä, T.: Discontinuous Galerkin discretization for two-equation turbulence closure model, Ocean Modelling, 150:101619, doi:10.1016/j.ocemod.2020.101619, 2020.

Wallwork, J. G., Barral, N., Kramer, S. C., Ham, D. A., and Piggott, M. D.: Goal-oriented Error Estimation and Mesh Adaptation for Shallow Water Modelling, SN Applied Sciences, 2:1053–1063, doi:10.1007/s42452-020-2745-9, 2020.


Vouriot, C. V. M., Angeloudis, A., Kramer, S.C., and Piggott, M. D.: Fate of large-scale vortices in idealized tidal lagoons, Environ Fluid Mech, 19:329–348, doi:10.1007/s10652-018-9626-4, 2019.

Harcourt, F., Angeloudis A., and Piggott M. D.: Utilising the flexible generation potential of tidal range power plants to optimise economic value, Applied Energy, 237:873–884, doi:10.1016/j.apenergy.2018.12.091, 2019.

Pan, W., Kramer, S. C., and Piggott, M. D.: Multi-layer non-hydrostatic free surface modelling using the discontinuous Galerkin method, Ocean Modelling, 134:68–83, doi:10.1016/j.ocemod.2019.01.003, 2019.


Kärnä, T., Kramer, S. C., Mitchell, L., Ham, D. A., Piggott, M. D., and Baptista, A. M.: Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations, Geosci. Model Dev., 11:4359–4382, doi:10.5194/gmd-11-4359-2018, 2018.

Angeloudis, A., Kramer, S. C., Avdis, A., and Piggott, M. D.: Optimising tidal range power plant operation, Applied Energy, 212:680–690, doi:10.1016/j.apenergy.2017.12.052, 2018.