Thetis publications

Citing Thetis

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

2026

Hill, J., Vila-Concejo, A. and Lee, K.C.: Toward a digital twin of the Great Barrier Reef: Impact of extreme model resolution on tidal simulations, Ocean Modelling, 202, p. 102723, doi: 10.1016/j.ocemod.2026.102723, 2026.

Patel, M.D., Smyth, A.S.M., Angeloudis, A. and Adcock T.A.A.: The interplay and incremental development of tidal stream arrays in the Pentland Firth. J. Ocean Eng. Mar. Energy, 9, doi: 10.1007/s40722-026-00490-5, 2026.

Guichard J., Rawlinson-Smith R., Coles D. and Greaves D.: Energy storage from a wind, tidal, and wave farm via hydrogen. Front. Energy Res. 14, p. 1732813, doi: 10.3389/fenrg.2026.1732813, 2026.

Bolhuis, S., Alday, M. and Lavidas, G.: Tidal stream energy in the Netherlands—Resource assessment and future effects due to mean sea level rise, Renewable Energy, 256, Part F, p. 124214, doi: 10.1016/j.renene.2025.124214, 2026.

2025

Chien, N.Q., Jordan, C., Brazovskis, E., Sellar, B., Ribeiro, J., Silva, A., Angeloudis, A.: Operational coastal ocean modelling for tidal stream turbine arrays, Appl. Ocean Res. 165, 104847., doi: 10.1016/j.apor.2025.104847, 2025.

Jordan, C., Angeloudis, A.: Effects of bathymetric constraints in tidal stream array layout design. J. Hydraul. Res. 63, 622–639, doi: 10.1080/00221686.2025.2554989, 2025.

Noble, D.R., Pennock, S., Coles, D., Delahaye, T. and Jeffrey, H.: Quantifying the System Benefits of Ocean Energy in the Context of Variability: A UK Example, Energies, 18:3717, doi: 10.3390/en18143717, 2025.

Zhang, C., Zhang, Y., Zhang, J., Cheng, X., Lin, X., Wu, C. and Ding, Z.: Two-Objective Optimization of Tidal Array Micro-Sitting Accounting for Yaw Angle Effects, J. Mar. Sci. Eng, 13:1210, doi: 10.3390/jmse13071210, 2025.

Jordan, C., Coles, D., Johnson, F. and Angeloudis, A.: On tidal array layout sensitivity to regional hydrodynamics representation, International Marine Energy Journal, 8(2):227–236, doi: 10.36688/imej.8.227-236, 2025.

Pappas, K., Nguyen, C. Q., Zilakos, I., Beevers L. and Angeloudis A.: On the economic feasibility of tidal range power plants, Proc. R. Soc. A., 481:20230867, doi: 10.1098/rspa.2023.0867, 2025.

2024

Wallwork, J.G., Angeloudis, A., Barral, N., Mackie, L., Kramer S. C. and Piggott, M. D.: Tidal turbine array modelling using goal-oriented mesh adaptation, J. Ocean Eng. Mar. Energy, 10:193–216, doi: 10.1007/s40722-023-00307-9, 2024

Old, C., Sellar, B. and Angeloudis, A.: Iterative dynamics-based mesh discretisation for multi-scale coastal ocean modelling, J. Ocean Eng. Mar. Energy, 10:313–334, doi: 10.1007/s40722-024-00314-4, 2024

Alday, M. and Lavidas, G.: Assessing the Tidal Stream Resource for energy extraction in The Netherlands, Renewable Energy, 220:119683, doi: 10.1016/j.renene.2023.119683, 2024.

Fragkou, A. K., Old, C., Venugopal, V. and Angeloudis, A.: Thetis-SWAN: A Python-interfaced wave–current interactions coupled system, Environmental Modelling & Software, 177:106034, doi: 10.1016/j.envsoft.2024.106034, 2024.

Smith, H. A.: Modelling the impacts of tropical cyclones on coral cover across the Great Barrier Reef, MSc by Research thesis: University of York. eprint ID: etheses.whiterose.ac.uk:36909, 2024.

Zhang, C. Cheng, X., Angeloudis, A., Kramer, S. C., Wu, C., Chen, Y. and Piggott, M. D.: Economics-constrained tidal turbine array layout optimisation at the Putuoshan–Hulu island waterway, Ocean Engineering, 314(1):119618, doi: 10.1016/j.oceaneng.2024.119618, 2024.

Patel, M. D., Smyth, A. S. M., Angeloudis, A. and Adcock T. A. A.: Implementation of homogeneous and heterogeneous tidal arrays in the Inner Sound of the Pentland Firth, J. Ocean Eng. Mar. Energy, 10:731–747, doi: 10.1007/s40722-024-00342-0, 2024.

Jordan, C., Agirre, J. and Angeloudis, A.: Objective representative flow field selection for tidal array layout design, Renewable Energy, 236:121381, doi: 10.1016/j.renene.2024.121381, 2024.

2023

Wallwork, J. G., Angeloudis, A., Barral, N., Mackie, L., Kramer, S. C. and 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. and 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. and 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. and 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.

Zhang, C., Zhang, J., Angeloudis, A., Zhou, Y., Kramer, S.C. and Piggott, M.D.: Physical Modelling of Tidal Stream Turbine Wake Structures under Yaw Conditions, Energies, 16:1742, doi: 10.3390/en16041742, 2023.

Fragkou, A. K., Old, C., Venugopal, V. and Angeloudis, A.: Benchmarking a two-way coupled coastal wave–current hydrodynamics model, Ocean Modelling, 183:102193, doi: 10.1016/j.ocemod.2023.102193, 2023.

Fanous, M., Daneshkhah, A., Eden, J.M., Remesan, R. and Palade, V.: Hydro-morphodynamic modelling of mangroves imposed by tidal waves using finite element discontinuous Galerkin method, Coastal Engineering, 182:104303, doi: 10.1016/j.coastaleng.2023.104303, 2023.

2022

Lee, K.C., Webster, J.M., Salles, T., Mawson, E.E. and 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. and 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. and 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. and 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. and 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. and 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. and 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. and 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

Jordan, C., Dundovic, D., Fragkou, A.K., Deskos, G., Coles, D.S., Piggott, M.D. and Angeloudis, A.: Combining shallow-water and analytical wake models for tidal array micro-siting, J. Ocean Eng. Mar. Energy 8:193–215, doi: 10.1007/s40722-022-00225-2, 2022.

2021

Fofonova, V., Kärnä, T., Klingbeil, K., Androsov, A., Kuznetsov, I., Sidorenko, D., Danilov, S., Burchard, H. and 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. and 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. and Angeloudis, A.: Assessing impacts of tidal power lagoons of a consistent design, Ocean Engineering 240, p. 109879. doi: 10.1016/j.oceaneng.2021.109879 <https://doi.org/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. and 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.

2020

Mackie, L., Coles, D., Piggott, M. and 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.

2019

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.

2018

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.