Dr Matthew Piggott

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Matthew Piggott

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Biography

  • Grantham Reader in Ocean Modelling, 2008-date.
  • Imperial College Research Fellow, 2005-2008.
  • NERC Research Fellow, 2005-2008.
  • Postdoctoral Researcher, Department of Earth Science and Engineering, Imperial College London, 2001-2005.
  • PhD Mathematics, University of Bath, 1998-2001.
  • MMath Mathematics, University of Bath, 1994-1998.

Research Interests

See College personal web page

Publications

  • 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, in press, 2013. doi:10.1016/j.ocemod.2013.03.004
  • 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
  • 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
  • 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.), 2012.
  • 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
  • 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, submitted, 2012.
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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.
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Candy AS, Pain CC, Mitchell AJ, Piggott MD, Gorman GJ, Kramer SC, Ham DA, Allison PA, A subgrid scale model for stabilisation of free-surface flow simulations, Ocean Modelling. Submitted.
  • 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 and Hasumi Eds., 383–408, 2008. http://www.agu.org/cgi-bin/agubooks?book=OSGM1774429
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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/
  • Farrell PE, Gorman GJ, Piggott MD, Pain CC, Elemental quadratic fitting for Hessian recovery and anisotropic mesh, Internal Report, 19pp, 2007.
  • Pain CC, Liu H, Piggott MD, Gorman GJ , Wells MR, Mitchell AJ, Candy AS, Ham D, Allison PA, Killworth PD, Goddard AJH, Marshall DP, Implicit free surface methods for global ocean modelling using an arbitrary coordinate system and an unstructured mesh, Ocean Modelling, in review, 2007.
  • 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, CD, 12pp, 2007.
  • 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
  • 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
  • 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
  • Candy AS, Piggott MD, Pain CC, Smedley-Stevenson RP, High-order Petrov-Galerkin methods applied to the Boltzmann transport equation, Nuclear Science and Engineering, submitted.
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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, Paris, 12-15 September 2005, American Nuclear Society.
  • 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
  • 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, 6pp, NUCEF Feb 2005, Toki-Mura, Japan.
  • 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
  • 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
  • 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
  • Piggott MD, Pain CC, Gorman GJ, et al, 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
  • Wells MR, Allison PA, Hampson GJ, et al, 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
  • 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
  • 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
  • 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
  • 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
  • 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
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