Thetis publications

Citing Thetis

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


Wallwork, J. G., Angeloudis, A., Barral, N., Mackie, L., Kramer, S. C., Piggott, M. D.: Tidal turbine array modelling using goal-oriented mesh adaptation. Journal of Ocean Engineering and Marine Energy, doi: 10.1007/s40722-023-00307-9, 2023.

Kärnä, T., Wallwork, J. G., Kramer, S. C.: Adjoint-based optimization of a regional water elevation model. Journal of Advances in Modeling Earth Systems, doi: 10.1029/2022MS003169, 2023.

Woodroffe, S., Hill, J., Bustamante-Fernandez, E., Lloyd, JM., Luff, J., Richards, S., Shennan, I: On the varied impact of the Storegga tsunami in northwest Scotland. Journal of Quaternary Science, doi: 10.1002/jqs.3539, 2023.

Hill, J., Rush, G., Peakall, J., Johnson, M., Hodson, L., Barlow, N.L.M., Bowman, E.T., Gehrels, W.R., Hodgson, D.M., Kesserwani, G: Resolving tsunami wave dynamics: integrating sedimentology and numerical modelling. The Depositional Record doi: 10.1002/dep2.247, 2023.


Lee, K.C., Webster, J.M., Salles, T., Mawson, E.E., Hill, J.: Tidal dynamics drive ooid formation in the Capricorn Channel since the Last Glacial Maximum. Marine Geology, 454:106944, doi:10.1016/j.margeo.2022.106944, 2022.

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.

Clare, M. C. A., Kramer, S. C., Cotter, C. J., Piggott, M. D.: Calibration, inversion and sensitivity analysis for hydro-morphodynamic models through the application of adjoint methods. Computers & Geosciences 163, p. 105104, doi: 10.1016/j.cageo.2022.105104, 2022.

Pan, W., Kramer, S. C., Piggott, M. D., Xiping, Y.: Modeling landslide generated waves using the discontinuous finite element method. International Journal for Numerical Methods in Fluids, 94 (8), pp. 1298-1330, doi: 10.1002/fld.5090, 2022.

Zhang, C., Kramer, S. C., Angeloudis, A., Zhang, J., Lin, X., Piggott, M. D.: Improving tidal turbine array performance through the optimisation of layout and yaw angles. International Marine Energy Journal 5.3, pp. 273–280, doi: 10.36688/imej.5.273-280, 2022

Zhang, J., Zhang, C., Angeloudis, A., Kramer, S. C., He, R., Piggott, M. D.: Interactions between tidal stream turbine arrays and their hydrodynamic impact around Zhoushan Island, China Ocean Engineering 246, p. 110431, doi: 10.1016/j.oceaneng.2021.110431, 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.

Mackie, L., Kramer, S. C., Piggott, M. D., Angeloudis, A.: Assessing impacts of tidal power lagoons of a consistent design. Ocean Engineering 240, p. 109879. doi: 10.1016/j.oceaneng.2021.109879 <>

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.

Goss, Z. L., Coles, D. S., Kramer, S. C., Piggott, M. D.: Efficient economic optimisation of large-scale tidal stream arrays. Applied Energy 295, p. 116975. doi: 10.1016/j.apenergy.2021.116975, 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.