Prof. Matthew Piggott


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Contact Details

Postal Address:
Department of Earth Science and Engineering
South Kensington Campus
Imperial College London
London, SW7 2AZ

Street Address:
Department of Earth Science and Engineering
Room 4.82, Royal School of Mines Building
Prince Consort Road
Imperial College London
London, SW7 2BP

phone: (+44) (0)207-594-6396
email: m.d.piggott@imperial.ac.uk

Brief Bio

  • Professor of Computational Geoscience and Engineering, 2016-date.
  • Grantham Reader in Ocean Modelling, 2008-2016.
  • Imperial College Research Fellow, 2005-2008.
  • NERC Research Fellow, 2005-2008.
  • Research Associate/Fellow, Department of Earth Science and Engineering, Imperial College London, 2001-2005.
  • PhD Mathematics [Numerical Analysis], University of Bath, 1998-2001.
  • MMath Mathematics, University of Bath, 1994-1998.

  • Research Interests

    See College personal web page

    Funding

  • EPSRC: http://gow.epsrc.ac.uk/NGBOViewPerson.aspx?PersonId=-2641
  • NERC: http://gotw.nerc.ac.uk/list_med_pi.asp?pi=-2641
  • as well as Leverhulme, EU and industry projects.

    Software Projects

  • Fluidity - CFD and marine modelling with finite elements and adaptive unstrucutred meshes: http://fluidity-project.org
  • Thetis - coastal ocean model built using Firedrake: http://thetisproject.org/
  • OpenTidalFarm - simulation and optimisation of tidal turbine arrays: http://opentidalfarm.org
  • PRAgMaTIc (Parallel anisotRopic Adaptive Mesh ToolkIt): http://github.com/meshadaptation
  • PyRDM - library for Research Data Management: https://github.com/pyrdm

  • Publications

    Google scholar page

    1. Neill SP, et al., Tidal range energy resource and optimization - past perspectives and future challenges, Renewable and Sustainable Energy Reviews submitted, 2017.
    2. Deskos G, Abolghasemi MA, Piggott MD, Wake predictions from two turbine parameterisation models using mesh-optimisation techniques, under review, 2017.
    3. Angeloudis A, et al., Comparison of 0-D, 1-D and 2-D model capabilities for tidal range energy resource assessments, 2017.
    4. Coles D, et al., Optimisation of tidal stream turbine arrays within Alderney Race, submitted, 2017.
    5. Abolghasemi MA, Piggott MD, Kramer SC, An investigation into the accuracy of the depth-averaging used in tidal turbine array optimisation, submitted, 2017.
    6. Bentley OL, Green JAM, Piggott MD, Tidal dynamics between two closely spaced sills in a narrow fjord: the development of a standing internal wave, submitted, 2017.
    7. van Sebille E, et al., Lagrangian ocean analysis: Fundamentals and practices, Ocean Modelling, under revision, 2017.
    8. Mouradian SL, et al., Investigating the hazard posed by landslide generated tsunami to the UK.
    9. Williams DA, et al., Efficient use of heterogeneous slip models to accurately estimate peak near-shore tsunami amplitude.
    10. Bentley OL, Piggott MD, Avdis A, Allison PA, Simulating mixing due to internal wave generation, propagation and breaking with adaptive mesh methods, Ocean Modelling, submitted.
    11. du Feu RJ, Funke SW, Kramer SC, Culley DM, Hill J, Halpern BS, Piggott MD, The trade off between tidal-turbine array yield and environmental impact: a multi-objective optimisation problem, Renewable Energy, under revision, 2017.
    12. Jacobs CT, Collins GS, Piggott MD, Kramer SC, Wilson CRG, Compressible multiphase flow modelling of explosive volcanic eruption events: Model inter-comparison and evaluation of adaptive unstructured meshes, Journal of Volcanology and Geothermal Research, submitted.
    13. Culley DM, Funke SW, Kramer SC, Piggott MD, A surrogate-assisted approach for optimising the size of tidal turbine arrays, International Journal of Marine Energy, under revision, 2017.
    14. 2017

    15. Collins D, et al., Tidal dynamics and mangrove carbon sequestration during the Oligo–Miocene in the South China Sea, Nature Communications, in press, 2017.
    16. Funke SW, Farrell PE, Piggott MD, Reconstructing wave profiles from inundation data, Computer Methods in Applied Mechanics and Engineering, in press, 2017. http://doi.org/10.1016/j.cma.2017.04.019. https://arxiv.org/pdf/1612.09597.pdf
    17. Schwedes T, Ham DA, Funke SW, Piggott MD, Mesh dependence in PDE-constrained optimisation: An application in tidal turbine array layouts, SpringerBriefs, 2017. http://www.springer.com/us/book/9783319594828
    18. Parkinson SD, Funke SW, Hill J, Piggott MD, Allison PA, Application of the adjoint approach to optimise the initial conditions of a turbidity current with the AdjointTurbidity 1.0 model, Geoscientific Model Development 10, 1051-1068, 2017. http://dx.doi.org/10.5194/gmd-10-1051-2017
    19. 2016

    20. Barral N, Knepley MG, Lange M, Piggott MD, Gorman GJ, Anisotropic mesh adaptation in Firedrake with PETSc DMPlex, International Meshing Roundtable, 2016. http://imr.sandia.gov/papers/imr25/2026_imr25RN_Barral.pdf
    21. Abolghasemi A, Piggott MD, Spinneken J, Vire A, Cotter CJ, Crammond S, Simulating tidal turbines with multi-scale mesh optimisation techniques, Journal of Fluids and Structures 66, 69–90, 2016. http://dx.doi.org/10.1016/j.jfluidstructs.2016.07.007
    22. Funke SW, Kramer SC, Piggott MD, Design optimisation and resource assessment for tidal-stream renewable energy farms using a new continuous turbine approach, Renewable Energy 99, 1046-1061, 2016. http://dx.doi.org/10.1016/j.renene.2016.07.039
    23. Jacobs CT, Piggott MD, Kramer SC, Funke SW, On the validity of tidal turbine array configurations obtained from steady-state adjoint optimisation, ECCOMAS Congress 2016. http://arxiv.org/abs/1601.08091
    24. Nunez Rattia JM, Percival JR, Yeager B, Neethling S, Piggott MD, Numerical Simulation of Scour below Pipelines using Flexible Mesh Methods, 8th International Conference on Scour and Erosion, 2016. http://www.icse2016.com/uploads/papers/3_22/icse16.pdf
    25. Avdis A, Jacobs CT, Mouradian SL, Hill J, Piggott MD, Meshing ocean domains for coastal engineering applications , VII European Congress on Computational Methods in Applied Sciences and Engineering, 13 pages, 2016. https://www.eccomas2016.org/proceedings/pdf/7712.pdf
    26. Mouradian SL, Avdis A, Piggott MD, Jacobs CT, Villaret C, de Mijolla DR, Lietava J, TELEMAC model archive: Integrating open–source tools for the management and visualisation of model data, in 23rd TELEMAC-MASCARET User Club (TUC-2016), Paris, FR, 11-13 Oct 2016. http://eprints.soton.ac.uk/405307/
    27. Quattrocchi G, Gorman GJ, Piggott MD, Cucco A, M2, overtides and compound tides generation in the Strait of Messina: the response of a non-hydrostatic, finite-element ocean model, Journal of Coastal Research 75, 657-661, 2016. http://dx.doi.org/10.2112/SI75-146.1
    28. Smith RC, Hill J, Collins GJ, Piggott MD, Kramer SC, Parkinson SD, Wilson CR, Comparing approaches for numerical modelling of tsunami generation by deformable submarine slides, Ocean Modelling 100, 125-140, 2016. http://dx.doi.org/10.1016/j.ocemod.2016.02.007
    29. Kramer SC, Piggott MD, A correction to the enhanced bottom drag parameterisation of tidal turbines, Renewable Energy 92, 385-396, 2016. http://dx.doi.org/10.1016/j.renene.2016.02.022
    30. Jacobs CT, Piggott MD, Ham DA, Delivering a step-change in performance and functionality to the Fluidity shallow water solver through code generation, http://www.archer.ac.uk/community/eCSE/eCSE03-07/eCSE03-07-TechnicalReport.pdf
    31. Adam A, Buchan AG, Piggott MD, Pain CC, Hill J, Goffin MA, Adaptive Haar wavelets for the angular discretisation of spectral wave models, Journal of Computational Physics, 305, 521-538, 2016. doi:10.1016/j.jcp.2015.10.046
    32. Vire A, Spinneken J, Piggott MD, Pain CC, Kramer SC, Application of the immersed-body method to simulate wave-structure interactions, European Journal of Mechanics - B/Fluids, 55, 330–339, 2016. doi:10.1016/j.euromechflu.2015.10.001
    33. Jacobs CT, Ham DA, Piggott MD, Delivering a step-change in performance and functionality to the Fluidity shallow water solver through code generation, ARCHER eCSE technical report, eCSE03-07, 2016. http://www.archer.ac.uk/community/eCSE/eCSE03-07/eCSE03-07-TechnicalReport.pdf
    34. Deskos G, Spinneken J, Piggott MD, Impact of the free surface proximity on the performance of a single Tidal Stream Turbine: A Vortex Filament Approach, 5th Oxford Tidal Energy Workshop, 2016. https://www.researchgate.net/profile/Georgios_Deskos/publication/299663230_Impact_of_the_free_surface_proximity_on_the_performance_of_a_single_Tidal_Stream_Turbine_A_Vortex_Filament_Approach/links/5703ff1008ae44d70ee05c8c.pdf
    35. Robinson D, Wood MJ, Piggott MD, Gorman GJ, CFD modelling of marine discharge mixing and dispersion, Journal of Applied Water Engineering and Research 4, 152-162, 2016. doi:10.1080/23249676.2015.1105157
    36. Culley DM, Funke SF, Kramer SC, Piggott MD, Integration of cost modelling within the micro-siting design optimisation of tidal turbine arrays, Renewable Energy 85, 215-227, 2016. doi:10.1016/j.renene.2015.06.013
    37. 2015

    38. Jacobs CT, Avdis A, Mouradian SL, Piggott MD, Integrating Research Data Management into Geographical Information Systems, Proceedings of the 5th International Workshop on Semantic Digital Archives (SDA 2015), 7-17, 2015, http://ceur-ws.org/Vol-1529/. http://arxiv.org/abs/1509.04729
    39. Abolghasemi A, Piggott MD, Spinneken J, Vire A, Cotter CJ, Crammond S, Simulating tidal turbines with mesh optimisation and RANS turbulence models, Proceedings of the European Wave and Tidal Energy Conference (EWTEC) 2015. pdf
    40. Kramer SC, Funke SW, Piggott MD, A continuous approach for the optimisation of tidal turbine farms, Proceedings of the European Wave and Tidal Energy Conference (EWTEC) 2015. pdf
    41. Culley DM, Funke SW, Kramer SC, Piggott MD, Tidal stream resource assessment through optimisation of array design with quantification of uncertainty, Proceedings of the European Wave and Tidal Energy Conference (EWTEC) 2015. pdf
    42. Avdis A, Jacobs CT, Hill J, Piggott MD, Gorman GJ, Shoreline and bathymetry approximation in mesh generation for tidal renewable simulations, Proceedings of the European Wave and Tidal Energy Conference (EWTEC) 2015. http://arxiv.org/abs/1510.01560
    43. Jacobs CT, Piggott MD, Firedrake-Fluids v0.1: numerical modelling of shallow water flows using an automated solution framework, Geoscientific Model Development 8, 533-547, 2015. doi:10.5194/gmd-8-533-2015
    44. Jordan JR, Kimura S, Holland PR, Piggott MD, Jenkins A, On the conditional frazil ice instability in seawater, Journal of Physical Oceanography 45, 1121-1138, 2015. doi:10.1175/JPO-D-14-0159.1
    45. Martin-Short R, Hill J, Kramer SC, Avdis A, Allison PA, Piggott MD, Tidal resource extraction in the Pentland Firth, UK: potential impacts on flow regime and sediment transport in the Inner Sound of Stroma, Renewable Energy 76, 596–607, 2015. doi:10.1016/j.renene.2014.11.079
    46. Jacobs CT, Goldin TJ, Collins GS, Piggott MD, Kramer SC, Melosh HJ, Wilson CRG, Allison PA, An improved quantitative measure of the tendency for particle plumes to form in water, Journal of Volcanology and Geothermal Research 290, 114-124, 2015. doi:10.1016/j.jvolgeores.2014.10.015
    47. Barnett GL, Funke SW, Piggott MD, Hybrid global-local optimisation algorithms for the layout design of tidal turbine arrays, 2015. http://arxiv.org/abs/1410.2476
    48. 2014

    49. Jacobs CT, Collins GS, Piggott MD, Kramer SC, Multiphase flow modelling of explosive volcanic eruptions using an adaptive unstructured mesh-based approach, In Proceedings of the jointly organized 11th World Congress on Computational Mechanics (WCCM XI), 5th European Congress on Computational Mechanics (ECCM V), and 6th European Congress on Computational Fluid Dynamics (ECFD VI), Barcelona, 20-25 July 2014. Pages 7406-7417. http://hdl.handle.net/10044/1/21241
    50. Culley DM, Funke SF, Kramer SC, Piggott MD, A hierarchy of approaches for the optimal design of tidal turbine arrays, ICOE 2014 (5th International Conference on Ocean Energy), 9 pages, 2014. http://www.icoe2014canada.org/wp-content/uploads/2014/11/CulleyDavid_5-4.pdf; pdf
    51. Jacobs CT, Avdis A, Gorman GJ, Piggott MD, PyRDM: A Python-based library for automating the management and online publication of scientific software and data, Journal of Open Research Software, Journal of Open Research Software 2(1):e28, 2014. doi:10.5334/jors.bj; Software: http://github.com/pyrdm
    52. Hill J, Collins GS, Avdis A, Kramer SC, Piggott MD, How does multiscale modelling and inclusion of realistic palaeobathymetry affect numerical simulation of the Storegga slide tsunami? Ocean Modelling 83, 11-25, 2014. doi:10.1016/j.ocemod.2014.08.007
    53. Kimura S, Holland P, Jenkins A, Piggott M, The effect of meltwater plumes on the melting of a vertical glacier face, Journal of Physical Oceanography 44, 3099–3117, 2014. doi:10.1175/JPO-D-13-0219.1
    54. Parkinson SD, Hill J, Piggott MD, Allison PA, Direct numerical simulations of particle-laden density currents with adaptive, discontinuous finite elements, Geosci. Model Dev., 7, 1945-1960, 2014. doi:10.5194/gmd-7-1945-2014
    55. Vire A, Spinneken J, Piggott MD, Pain CC, Kramer SC, Modelling of waves and wave-structure interactions using non-Linear numerical models, Proceedings-WCCM XI: 11th World Congress on Computational Mechanics; ECCM V: 5th European Conference on Computational Mechanics; ECFD VI: 6th European Conference on Computational Fluid Dynamics, Barcelona, Spain, 20-25 July 2014, 11 pages. http://wccm-eccm-ecfd2014.org/admin/files/filePaper/p4091.pdf
    56. Kramer SC, Piggott MD, Hill J, Kregting L, Pritchard D, Elsaesser B, The modelling of tidal turbine farms using multi-scale, unstructured mesh models, Proceedings of the 2nd International Conference on Environmental Interactions of Marine Renewable Energy Technologies, (EIMR2014), Stornoway, Scotland, www.eimr.org, EIMR2014-7118, 2014. http://tethys.pnnl.gov/sites/default/files/attachments/EIMR2014_7118_Kramer.pdf
    57. Robinson D, Wood MJ, Piggott MD, Gorman GJ, CFD techniques for mixing and dispersion of desalination and other marine discharges, International Conference on Desalination, Environment and Marine Outfall Systems, 11 pages, 2014.
    58. Jordan J, Holland P, Jenkins A, Piggott M, Kimura S, Modelling ice-ocean interaction in ice shelf crevasses, Journal of Geophysical Research: Oceans, 119, 995–1008, 2014. doi:10.1002/2013JC009208
    59. Hill J, Popova EE, Ham DA, Piggott MD, Srokosz MA, Adapting to life: ocean biogeochemical modelling and adaptive remeshing, Ocean Science 10, 323-343, 2014. doi:10.5194/os-10-323-2014
    60. Funke SW, Farrell PE, Piggott MD, Tidal turbine array optimisation using the adjoint approach, Renewable Energy 63, 658-673, 2014. doi:10.1016/j.renene.2013.09.031
    61. Hiester HR, Piggott MD, Farrell PE, Allison PA, Assessment of spurious mixing in adaptive mesh simulations of the two-dimensional lock-exchange, Ocean Modelling 73, 30-44, 2014. doi:10.1016/j.ocemod.2013.10.003
    62. Vire A, Xiang J, Piggott MD, Cotter CJ, Latham J-P, Pain CC, Towards the numerical modelling of floating offshore renewables, in Fluid-Structure-Sound Interactions and Control, (eds.) Y Zhou, Y Liu, L Huang, DH Hodges, Lecture Notes in Mechanical Engineering, Springer Berlin Heidelberg, 413-417, 2014. doi:10.1007/978-3-642-40371-2_59
    63. Candy AS, Avdis A, Hill J, Gorman GJ, Piggott MD, Integration of Geographic Information System frameworks into domain discretisation and meshing processes for geophysical models, Geosci. Model Dev. Discuss., submitted, 2014. http://www.geosci-model-dev-discuss.net/7/5993/2014/
    64. 2013

    65. Oishi Y, Piggott MD, Maeda T, Kramer SC, Collins GS, Tsushima H, Furumura T, Three-dimensional tsunami propagation simulations using an unstructured mesh finite element model, Journal of Geophysical Research: Solid Earth 118, 2998-3018, 2013. doi:10.1002/jgrb.50225
    66. Vire A, Xiang J, Piggott M, Spinneken J, Pain C, Numerical Modelling of Fluid-structure Interactions for Floating Wind Turbine Foundations, Proc. of the 23rd International Offshore and Polar Engineering Conference, 377-382, 2013. http://www.isope.org/publications/proceedings/ISOPE/ISOPE%202013/papers/vol1/13TPC-684Vire.pdf
    67. Kimura S, Candy A, Holland P, Piggott M, Jenkins A, Adaptation of an unstructured-mesh, finite-element ocean model to the simulation of ocean circulation beneath ice shelves, Ocean Modelling 67, 39–51, 2013. doi:10.1016/j.ocemod.2013.03.004
    68. Jacobs CT, Collins GS, Piggott MD, Kramer SC, Wilson CRG, Multiphase flow modelling of volcanic ash particle settling in water using adaptive unstructured meshes, Geophysical Journal International 192(2), 647-665, 2013. doi:10.1093/gji/ggs059
    69. Vire A, Xiang J, Piggott M, Cotter C, Pain C, Towards the fully-coupled numerical modelling of floating wind turbines, Energy Procedia 35, 43-51, 2013. ISSN 1876-6102, doi:10.1016/j.egypro.2013.07.157
    70. Milthaler FM, Xiang J, Pavlidis D, Latham J-P, Pain CC, Vire A, Piggott MD, Farrell PE, The immersed body method combined with mesh adaptivity for solid-fluid coupling, Coastal Strucutres 2011, pp. 277-283, 2013, doi:10.1142/9789814412216_0024
    71. 2012

    72. Vire A, Xiang J, Milthaler F, Farrell PE, Piggott MD, Latham J-P, Pavlidis D, Pain CC, Modelling of fluid-solid interactions using an adaptive-mesh fluid model coupled with a combined finite-discrete element model, Ocean Dynamics 62, 1487-1501, 2012. doi:10.1007/s10236-012-0575-z
    73. Milthaler FM, Gorman GJ, Piggott MD, Reducing spurious drag forces when using mesh adaptivity in CFD, in Applied Sciences and Engineering (ECCOMAS 2012), J. Eberhardsteiner et al. (eds.), 5621-5640, 2012. Link
    74. Hill J, Piggott MD, Ham DA, Popova EE, Srokosz MA, On the performance of a generic length scale turbulence model within an adaptive finite element ocean model, Ocean Modelling 56, 1-15, 2012. doi:10.1016/j.ocemod.2012.07.003
    75. Spinneken J, Heller V, Kramer S, Piggott M, Vire A, Assessment of an advanced finite element tool for the simulation of fully-nonlinear gravity water waves, The 22nd International Ocean and Polar Engineering Conference, 2012, 1043-1051. http://www.isope.org/publications/proceedings/ISOPE/ISOPE%202012/data/papers/vol3/2012-TPC-188Spinn.pdf / https://www.researchgate.net/profile/Valentin_Heller/publication/267978637_Assessment_of_an_advanced_finite_element_tool_for_the_simulation_of_fully-nonlinear_gravity_water_waves/links/54b2c1a70cf220c63cd273d6.pdf
    76. Gorman GJ, Southern J, Farrell PE, Piggott MD, Rokos G, Kelly PHJ, Hybrid OpenMP/MPI anisotropic mesh smoothing, Procedia Computer Science 9:1513–1522, 2012. doi:10.1016/j.procs.2012.04.166
    77. Southern J, Gorman GJ, Piggott MD, Farrell PE, Parallel anisotropic mesh adaptivity with dynamic load balancing for cardiac electrophysiology, Journal of Computational Science 3, 8-16, 2012. doi:10.1016/j.jocs.2011.11.002
    78. Bull JR, Piggott, MD, Pain CC, A finite element LES methodology for anisotropic inhomogeneous meshes, Turbulence, Heat and Mass Transfer 7, ICHMT DIGITAL LIBRARY ONLINE, Begel House Inc., 2012, 12 pages. Link
    79. 2011

    80. Funke SW, Pain CC, Kramer SC, Piggott MD, A wetting and drying algorithm with a combined pressure/free-surface formulation for non-hydrostatic models, Advances in Water Resources 34, 1483-1495, 2011. doi:10.1016/j.advwatres.2011.08.007
    81. Maddison JR, Marshall DP, Pain CC, Piggott MD, Accurate representation of geostrophic and hydrostatic balance in unstructured mesh finite element ocean modelling, Ocean Modelling 39, 248-261, 2011. doi:10.1016/j.ocemod.2011.04.009
    82. Hiester HR, Piggott MD, Allison PA, The impact of mesh adaptivity on the gravity current front speed in a two-dimensional lock-exchange, Ocean Modelling 38, 1-21, 2011. doi: 10.1016/j.ocemod.2011.01.003
    83. Nelson R, Piggott M, Wilson C, Kramer S, Compressible flows on adaptive and unstructured meshes with Fluidity, Recent Progresses in Fluid Dynamics Research - Proc. Sixth Int. Conf. Fluid Mech., eds. Li J, Fu S, Book Series: AIP Conference Proceedings, Vol. 1376, 2011, 585-587. doi:10.1063/1.3651984
    84. Garcia X, Pavlidis D, Gorman GJ, Gomes JLMA, Piggott MD, Mindel JE, Aristodemou E, Latham JP, Pain CC, ApSimon H, A two-phase adaptive finite element method for solid-fluid coupling in complex geometries, International Journal for Numerical Methods in Fluids 66, 82–96, 2011. doi:10.1002/fld.2249
    85. Farrell PE, Piggott MD, Gorman GJ, Ham DA, Wilson CR, Bond TM, Automated continuous verification and validation for numerical simulation, Geoscientific Model Development 4, 435-449, 2011. doi:10.5194/gmd-4-435-2011
    86. Mitchell AJ, Allison PA, Gorman GJ, Piggott MD, Pain CC, Tidal circulation in an ancient epicontinental sea: The Early Jurassic Laurasian Seaway, Geology 39, 207-210, 2011. doi: 10.1130/G31496.1
    87. Fang F, Pain CC, Navon IM, Gorman GJ, Piggott MD, Allison PA, The independent set perturbation adjoint method: A new method of differentiating mesh-based fluids models, International Journal for Numerical Methods in Fluids 66, 976–999, 2011. doi:10.1002/fld.2297
    88. Guo C, Ashworth M, Gorman G, Kramer S, Piggott M, Fluidity-ICOM: High Performance Computing Driven Software Development for Next-Generation Modelling of the Worlds Oceans, HECToR dCSE report. http://www.hector.ac.uk/cse/distributedcse/reports/fluidity-icom01/
    89. Gomes JLMA, Pain CC, Eaton MD, Tollit B, Goddard AJH, Piggott MD, Kemal Ziver, Yamane Y, Coupled neutronics-fluids modelling of criticality within a MOX powder system, Progress in Nuclear Energy 53, 523-552, 2011. doi:10.1016/j.pnucene.2011.01.011
    90. 2010

    91. Mitchell AJ, Allison PA, Piggott MD, Gorman GJ, Pain CC, Hampson GJ, Numerical modelling of tsunami propagation with implications for sedimentation in ancient epicontinental seas: the Lower Jurassic Laurasian Seaway, Sedimentary Geology 228, 81-97, 2010. doi:10.1016/j.sedgeo.2010.03.008
    92. Munday DR, Marshall DP, Piggott MD, Idealised flow past an island in a dynamically adaptive finite element model, Ocean Dynamics 60, 835-850, 2010. doi:10.1007/s10236-010-0291-5
    93. Southern J, Gorman GJ, Piggott MD, Farrell PE, Bernabeu MO, Pitt-Francis J, Simulating cardiac electrophysiology using anisotropic mesh adaptivity, Journal of Computational Science 1, 82-88, 2010. doi:10.1016/j.jocs.2010.03.010
    94. Weller H, Ringler T, Piggott M, Wood N, Challenges Facing Adaptive Mesh Modeling of the Atmosphere and Ocean, Bulletin of the American Meteorological Society 91, 105-108, 2010. doi:10.1175/2009BAMS2907.1
    95. Wells MR, Allison PA, Piggott MD, Hampson GJ, Pain CC, Gorman GJ, Tidal modelling of an ancient tide-dominated seaway, part 1: model validation and application to global mid Cretaceous (Aptian) tides, Journal of Sedimentary Research 80, 393-410, 2010. doi:10.2110/jsr.2010.044
    96. Wells MR, Allison PA, Piggott MD, Hampson GJ, Pain CC, Gorman GJ, Tidal modeling of an ancient tide-dominated seaway, part 2: the Aptian Lower Greensand Seaway of northwest Europe, Journal of Sedimentary Research 80, 411-439, 2010. doi:10.2110/jsr.2010.045
    97. Southern J, Gorman GJ, Piggott MD, Farrell PE, Bernabeu MO, Pitt-Francis J, Anisotropic mesh adaptivity for cardiac electrophysiology, Procedia Computer Science 1, 929-938, 2010. doi:10.1016/j.procs.2010.04.103
    98. Mitchell AJ, Ulicny D, Hampson GJ, Allison PA, Gorman GJ, Piggott MD, Wells MR, Pain CC, Modelling tidal current-induced bed shear stress and palaeocirculation in an epicontinental seaway: the Bohemian Cretaceous Basin, Central Europe, Sedimentology 57, 359-388, 2010. doi:10.1111/j.1365-3091.2009.01082.x
    99. 2009

    100. Fang F, Pain CC, Navon IM, Gorman GJ, Piggott MD, Allison PA, Goddard AJH, A POD goal-oriented error measure for mesh optimization, International Journal for Numerical Methods in Fluids 63, 185-206, 2009. doi:10.1002/fld.2182
    101. Gorman GJ, Pain CC, Piggott MD, Umpleby AP, Farrell PE, Maddison JR, 2009: Interleaved parallel tetrahedral mesh optimisation and dynamic load-balancing, Adaptive Modeling and Simulation 2009, 101-104, Bouillard Ph, Diez P (eds.), CIMNE.
    102. Piggott MD, Farrell PE, Wilson CR, Gorman GJ, Pain CC, Anisotropic mesh adaptivity for multi-scale ocean modelling, Phil. Trans. R. Soc. A 367, no. 1907, 4591-4611, 2009. doi:10.1098/rsta.2009.0155
    103. Farrell PE, Piggott MD, Pain CC, Gorman GJ, Wilson CR, Conservative interpolation between unstructured meshes via supermesh construction, Comp. Meth. Appl. Mech. Eng., 198, 2632-2642, 2009. doi:10.1016/j.cma.2009.03.004
    104. Ham DA, Farrell PE, Gorman GJ, Maddison JR, Wilson CR, Kramer SC, Shipton J, Collins GS, Cotter CJ, Piggott MD, Spud 1.0: generalising and automating the user interfaces of scientific computer models, Geosci. Model Dev., 2, 33-42, 2009. http://www.geosci-model-dev.net/2/33/2009/gmd-2-33-2009.html
    105. Slingo J, Bates K, Nikiforakis N, Piggott M, Roberts M, Shaffrey L, Stevens I, Vidale P, Weller H, Developing the next generation climate system models: challenges and achievements, Phil. Trans. R. Soc. A., 367, 815-831, 2009. doi:10.1098/rsta.2008.0207
    106. Fang F, Pain CC, Navon IM, Gorman GJ, Piggott MD, Allison PA, Farrell PE, Goddard AJH, POD reduced order unstructured mesh ocean modelling method for moderate Reynolds number flows, Ocean Modelling 28, 127-136, 2009. doi:10.1016/j.ocemod.2008.12.006
    107. Latham JP, Mindel J, Xiang J, Guises R, Garcia X, Pain C, Gorman G, Piggott M, Munjiza A, Coupled FEMDEM/Fluids for coastal engineers with special reference to armour stability and breakage, Geomechanics and Geoengineering, 4:1, 39-53, 2009. doi:10.1080/17486020902767362
    108. Fang F, Pain CC, Navon IM, Piggott MD, Gorman GJ, Allison PA, Goddard AJH, Reduced order modelling of an adaptive mesh ocean model, International Journal for Numerical Methods in Fluids 59, 827-851, 2009. doi:10.1002/fld.1841
    109. 2008

    110. Piggott MD, Pain CC, Gorman GJ, Marshall DP, Killworth PD, Unstructured adaptive meshes for ocean modeling, in Ocean Modeling in an Eddying Regime, Geophysical Monograph Series, American Geophysical Union, Hecht MW and Hasumi H Eds., 383-408, 2008. http://dx.doi.org/10.1029/177GM22
    111. Latham JP, Munjiza A, Mindel J, Xiang J, Guises R, Garcia X, Pain C, Gorman G, Piggott M, Modelling of massive particulates for breakwater engineering using coupled FEMDEM and CFD, Particuology 6, 572-583, 2008. doi:10.1016/j.partic.2008.07.010
    112. Gorman GJ, Piggott MD, Wells MR, Pain CC, Allison PA, A systematic approach to unstructured mesh generation for ocean modelling using GMT and Terreno, Computers and Geosciences 34, 1721-1731, 2008. doi:10.1016/j.cageo.2007.06.014
    113. Piggott MD, Gorman GJ, Pain CC, Allison PA, Candy AS, Martin BT, Wells MR, A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes, International Journal for Numerical Methods in Fluids 56, 1003-1015, 2008. doi:10.1002/fld.1663
    114. Shaw B, Ambraseys NN, England PC, Floyd MA, Gorman GJ, Higham TFG, Jackson JA, Nocquet J-M, Pain CC, Piggott MD, Eastern Mediterranean tectonics and tsunami hazard inferred from the AD 365 earthquake, Nature Geoscience 1, 268-276, 2008. doi:10.1038/ngeo151
    115. Gomes JLMA, Pain CC, Eaton MD, Goddard AJH, Piggott MD, Ziver AK, de Oliveira CRE, Yamane Y, Investigation of nuclear criticality within a powder using coupled neutronics and thermofluids, Annals of Nuclear Energy 35, 2073-2092, 2008. doi:10.1016/j.anucene.2008.05.012
    116. Fang F, Pain CC, Navon IM, Piggott MD, Gorman GJ, Allison PA, Goddard AJH, A POD reduced order 4D-Var adaptive mesh ocean modelling approach, International Journal for Numerical Methods in Fluids 60, 709-732, 2008. doi:10.1002/fld.1911
    117. 2007

    118. Piggott MD, Pain CC, Gorman GJ, et al, Multi-scale ocean modelling with adaptive unstructured grids, CLIVAR Exchanges - Ocean model development and assessment, No. 42 (Vol: 12(3)), Pages: 21-23, 2007. http://eprints.soton.ac.uk/47576/
    119. Farrell PE, Gorman GJ, Piggott MD, Pain CC, Quadratic fitting for Hessian recovery and anisotropic mesh optimisation, in ADMOS 2007 (International Conference on Adaptive Modeling and Simulation), Runesson K, Diez P, (eds.), 101-104, CIMNE, 2007.
    120. Mindel JE, Collins GS, Latham J-P, Pain CC, Piggott MD, Munjiza A, Towards a numerical wave simulator using the two-fluid interface tracking approach combined with a novel ALE scheme. Coastal Structures 2007, 1465-1476. http://www.worldscientific.com/doi/abs/10.1142/9789814282024_0129
    121. Xiang J, Mindel JE, Latham J-P, Pain CC, Piggott MD, Guises R, Garcia X, Munjiza A, A coupled fluids-particulates model for waves interacting with granular media using FEM and DEM. Coastal Structures 2007, 1441-1452. http://www.worldscientific.com/doi/abs/10.1142/9789814282024_0127
    122. Piggott MD, Gorman GJ, Pain CC, Allison PA, Candy AS, Martin BT, Wells MR, A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes, Institute for Computational Fluid Dynamics, proceedings, 12pp, 2007.
    123. Soufflet Y, Killworth PD, Pain CC, Piggott MD, Mindel J, Hanert E, Moving mesh methods for ocean modelling, Institute for Computational Fluid Dynamics, proceedings, 6pp, 2007.
    124. Wells MR, Allison PA, Piggott MD, Gorman GJ, et al, Numerical modelling of tides in the late Pennsylvanian midcontinent seaway of North America with implications for hydrography and sedimentation, Journal of Sedimentary Research 77, 843-865, 2007. doi:10.2110/jsr.2007.075
    125. Gorman GJ, Piggott MD, Pain CC, Shoreline approximation for unstructured mesh generation, Computers & Geosciences 33, 666-677, 2007. doi:10.1016/j.cageo.2006.09.007
    126. 2006

    127. Gorman GJ, Piggott MD, Pain CC, et al, Optimisation based bathymetry approximation through constrained unstructured mesh adaptivity, Ocean Modelling 12, 436-452, 2006. doi:10.1016/j.ocemod.2005.09.004
    128. Higgs R, Wells MR, Allison PA, Piggott MD, et al, Discussion on large sea, small tides: the Late Carboniferous seaway of NW Europe, Journal of the Geological Society 163, 893-895, 2006. doi:10.1144/0016-76492006-045
    129. Power PW, Piggott MD, Fang F, et al, Adjoint goal-based error norms for adaptive mesh ocean modelling, Ocean Modelling 15, 3-38, 2006. doi:10.1016/j.ocemod.2006.05.001
    130. Wells MR, Allison PA, Hampson GJ, Piggott MD, et al, Investigating tides in the Early Pennsylvanian Seaway of NW Eurasia using the Imperial College Ocean Model, Geological Association of Canada Special Paper 48, 363-387, 2008.
    131. Power PW, Pain CC, Piggott MD, et al, Adjoint a posteriori error measures for anisotropic mesh optimisation, Computer and Mathematics with Applications 52, 1213-1242, 2006. doi:10.1016/j.camwa.2006.11.003
    132. Fang F, Piggott MD, Pain CC, et al, An adaptive mesh adjoint data assimilation method, Ocean Modelling 15, 39-55, 2006. doi:10.1016/j.ocemod.2006.02.002
    133. Pain CC, Eaton MD, et al, Space-time streamline upwind Petrov-Galerkin methods for the steady-state Boltzmann transport equation, Computer Methods in Applied Mechanics and Engineering 195, 4334-4357, 2006. doi:10.1016/j.cma.2005.09.005
    134. Pain CC, Eaton MD, et al, Streamline upwind Petrov-Galerkin methods for the steady-state Boltzmann transport equation, Computer Methods in Applied Mechanics and Engineering 195, 4448-4472, 2006. doi:10.1016/j.cma.2005.09.004
    135. 2005

    136. Pain CC, Candy AS, Piggott MD, et al, A high-order Petrov-Galerkin method for the Boltzmann transport equation, 'Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications', Avignon (France), 12-15 Sep 2005; INIS-FR--09-1112, INIS Vol. 40, No. 36, 13 pages, 2005, American Nuclear Society, http://inis.iaea.org/search/search.aspx?orig_q=RN:40086418
    137. Pain CC, Eaton MD, Miles B, Ziver AK, Gomes JLMA, Umpleby AP, Piggott MD, Goddard AJH, de Oliveira CRE, Development of a Transient Criticality Evaluation Method, Japan Atomic Energy Research Inst., Kashiwa, Chiba (Japan); 378 p; Aug 2005; p. 85-90; International symposium NUCEF 2005; Tokai, Ibaraki (Japan); 9-10 Feb 2005; JAERI-CONF--2005-007. http://inis.iaea.org/search/search.aspx?orig_q=RN:37022085
    138. Fang F, Pain CC, Piggott MD, et al, An adaptive mesh adjoint data assimilation method applied to free surface flows, International Journal for Numerical Methods in Fluids 47, 995-1001, 2005, doi:10.1002/fld.865
    139. Wells MR, Allison PA, Piggott MD, et al, Large sea, small tides: the Late Carboniferous seaway of NW Europe, Journal of the Geological Society 162, 417-420, 2005. doi:10.1144/0016-764904-128
    140. Pain CC, Piggott MD, Goddard AJH, et al, Three-dimensional unstructured mesh ocean modelling, Ocean Modelling 10, 5-33, 2005. doi:10.1016/j.ocemod.2004.07.005
    141. Piggott MD, Pain CC, Gorman GJ, Power PW, Goddard AJH, h, r, and hr adaptivity with applications in numerical ocean modelling, Ocean Modelling 10, 95-113, 2005. doi:10.1016/j.ocemod.2004.07.007
    142. Wells MR, Allison PA, Hampson GJ, Piggott MD, Pain CC, Modelling ancient tides: the Upper Carboniferous epi-continental seaway of Northwest Europe, Sedimentology 52, 715-735, 2005. doi:10.1111/j.1365-3091.2005.00718.x
    143. 2004

    144. Fang F, Pain CC, Piggott MD, et al, Adjoint data assimilation into a 3D unstructured mesh coastal finite element model, In: Spaulding ML, editor, 8th international conference on estuarine and coastal modeling, Monterey, CA, 3-5 November 2003, New York, Amer Soc Civil Engineers, 2004, Pages: 308 - 324, ISBN: 0-7844-0734-7.
    145. Ford R, Pain CC, Piggott MD, et al, A nonhydrostatic finite-element model for three-dimensional stratified oceanic flows. Part I: model formulation, Monthly Weather Review 132, 2816-2831, 2004. doi:10.1175/MWR2824.1
    146. Ford R, Pain CC, Piggott MD, et al, A nonhydrostatic finite-element model for three-dimensional stratified oceanic flows. Part II: model validation, Monthly Weather Review 132, 2832-2844, 2004. doi:10.1175/MWR2825.1
    147. 2003

    148. Budd CJ, Piggott MD, Geometric integration and its applications, In: Ciarlet PG, Cucker F, editors, Handbook of Numerical Analysis, Vol. XI, London, Elsevier, 2003, Pages: 35-139, ISBN: 0-4445-1247-0. Abstract. doi:10.1016/S1570-8659(02)11002-7
    149. 2001

    150. Budd CJ, Leimkuhler B, Piggott MD, Scaling invariance and adaptivity, Applied Numerical Mathematics, 39, 261-288, 2001. doi:10.1016/S0168-9274(00)00036-2
    151. Budd CJ, Piggott MD, The geometric integration of scale-invariant ordinary and partial differential equations, Journal of Computational and Applied Mathematics, 128, 399-422, 2001. doi:10.1016/S0377-0427(00)00521-5
    152. Budd CJ, Piggott MD, Geometric integration and its applications, Proceedings of ‘European Centre for Medium Range Weather Forecasting’ workshop on ‘Developments in numerical methods for very high resolution global models’, 2001, Pages: 93-118.