Close

We use cookies to improve your experience of our website. Privacy Policy

Skip to main content

Materials Research Institute

Search
Menu

Dr Andrew Buchan

Andrew  Buchan

Senior Lecturer in Engineering Science

School of Engineering and Materials Science
317, Engineering, Mile End
+44 (0)20 7882 6087

www.sems.qmul.ac.uk/staff/a.buchan

Research

simulation and prediction of the coupled physics of neutron transport, multi-phase fluid flows within nuclear systems, adaptive finite elements, sub-grid scale methods, linear and non-linear stabilization schemes

Research Interests

My research interests are in the simulation and prediction of the coupled physics of neutron transport and multi-phase fluid flows within nuclear systems. I am involved in developing the latest and novel numerical model FETCH, in collaboration with Imperial College. My areas of research now cover the fields of adaptive finite elements, sub-grid scale methods, linear and non-linear stabilization schemes, Krylov solvers, multigrid preconditioners, reduced order models, immersed body methods, multi-scale techniques, spherical wavelets, uncertainty quantification, error metrics and adaptivity schemes.

My research includes the study and reconstruction of historical criticality accidents, liquid fuel experiments, and the analysis and prediction of both liquid and solid fuel reactors. I am currently the holder of an EPSRC fellowship award developing the methods within FETCH. 

Publications of specific relevance to Materials Research

Publications

2021

  • Heaney CE, Buchan AG, Pain CC and Jewer S (2021). Reduced-order modelling applied to the multigroup neutron diffusion equation using a nonlinear interpolation method for control-rod movement. Energies  vol. 14, (5) 10.3390/en14051350
  • Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN and Pain CC (2021). A comparison of element agglomeration algorithms for unstructured geometric multigrid. Elsevier  Journal of Computational and Applied Mathematics  vol. 390, 10.1016/j.cam.2020.113379

2020

  • Hughes AC and Buchan AG (2020). A discontinuous and adaptive reduced order model for the angular discretization of the Boltzmann transport equation. International Journal For Numerical Methods in Engineering  vol. 121, (24) 5647-5666. 10.1002/nme.6516
  • Buchan AG, Yang L and Atkinson KD (2020). Predicting airborne coronavirus inactivation by far-UVC in populated rooms using a high-fidelity coupled radiation-CFD model. Scientific Reports  vol. 10, (1) 10.1038/s41598-020-76597-y
  • Yang L, Buchan A, Pavlidis D, Jones A, Smith P, Sakai M and Pain C (2020). A three-phase interpenetrating continua approach for wave and porous structure interaction. Emerald Publishing Limited.  Engineering Computations  10.1108/EC-08-2019-0386

2019

  • Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN and Pain CC (2019). Scalable angular adaptivity for Boltzmann transport. Elsevier Bv  Journal of Computational Physics  109124-109124. 10.1016/j.jcp.2019.109124
  • Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN and Pain CC (2019). Angular adaptivity with spherical harmonics for Boltzmann transport. Elsevier Bv  Journal of Computational Physics  vol. 397, 108846-108846. 10.1016/j.jcp.2019.07.044
  • Buchan AG, Dargaville S and Pain CC (2019). A combined immersed body and adaptive mesh method for simulating neutron transport within complex structures. Elsevier Bv  Annals of Nuclear Energy  vol. 134, 88-100. 10.1016/j.anucene.2019.05.044
  • BUCHAN AG (2019). An angular reduced order model for radiative transfer in non grey media. Elsevier  Journal of Quantitative Spectroscopy and Radiative Transfer  10.1016/j.jqsrt.2019.03.005
  • Buchan A, Jewer S and Navon IM (2019). A Reduced Order Model for the Fast Predictions of Reactivity and Neutron Distributions within Reactor Cores. International Conference On Computational & Experimental Engineering and Sciences  vol. 22, (4) 179-179. 10.32604/icces.2019.05396

2018

  • Adigun BJ, BUCHAN AG, Adam A, Dargaville S, Goffin MA and Pain CC (2018). A Haar Wavelet Method for Angularly Discretising the Boltzmann Transport Equation. Elsevier  Progress in Nuclear Energy  10.1016/j.pnucene.2018.05.023
  • Heaney CE, Pain CC, Buchan AG and Jewer S (2018). Reactor simulators and reduced order modeling. Nuclear Future  vol. 14, (3) 49-54.

2017

  • Dargaville S, Buchan A, Smedley-Stevenson R, Smith P and Pain C (2017). Adaptive angle and parallel multigrid for deterministic shielding problems. Epj Web of Conferences  vol. 153, 10.1051/epjconf/201715306026
  • Soucasse L, Dargaville S, Buchan AG and Pain CC (2017). A goal-based angular adaptivity method for thermal radiation modelling in non grey media. Journal of Quantitative Spectroscopy and Radiative Transfer  vol. 200, 215-224. 10.1016/j.jqsrt.2017.06.015

2016

  • Buchan AG and Pain CC (2016). An efficient space-angle subgrid scale discretisation of the neutron transport equation. Annals of Nuclear Energy  vol. 94, 440-450. 10.1016/j.anucene.2016.03.012

2015

  • Dargaville S, Goffin MA, Buchan AG, Pain CC, Smedley-Stevenson RP, Smith PN and Gorman G (2015). Solving the Boltzmann transport equation with multigrid and adaptive space/angle discretisations. Annals of Nuclear Energy  vol. 86, 99-107. 10.1016/j.anucene.2015.02.014
  • Adam A, Buchan AG, Piggott MD, Pain CC, Hill J and Goffin MA (2015). Adaptive Haar wavelets for the angular discretisation of spectral wave models. Journal of Computational Physics  vol. 305, 521-538. 10.1016/j.jcp.2015.10.046
  • Xiao D, Fang F, Buchan AG, Pain CC, Navon IM and Muggeridge A (2015). Non-intrusive reduced order modelling of the Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering  vol. 293, 522-541. 10.1016/j.cma.2015.05.015
  • Buchan AG, Calloo AA, Goffin MG, Dargaville S, Fang F, Pain CC and Navon IM (2015). A POD reduced order model for resolving angular direction in neutron/photon transport problems. Journal of Computational Physics  vol. 296, 138-157. 10.1016/j.jcp.2015.04.043

2014

  • Goffin MA, Buchan AG, Dargaville S, Pain CC, Smith PN and Smedley-Stevenson RP (2014). Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation. Journal of Computational Physics  vol. 281, 1032-1062. 10.1016/j.jcp.2014.10.063
  • Fang F, Zhang T, Pavlidis D, Pain CC, Buchan AG and Navon IM (2014). Reduced order modelling of an unstructured mesh air pollution model and application in 2D/3D urban street canyons. Atmospheric Environment  vol. 96, 96-106. 10.1016/j.atmosenv.2014.07.021
  • Merton SR, Smedley-Stevenson RP, Pain CC and Buchan AG (2014). Adjoint eigenvalue correction for elliptic and hyperbolic neutron transport problems. Progress in Nuclear Energy  vol. 76, 1-16. 10.1016/j.pnucene.2014.04.014
  • Goffin MA, Buchan AG, Belme AC, Pain CC, Eaton MD, Smith PN and Smedley-Stevenson RP (2014). Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation. Annals of Nuclear Energy  vol. 71, 60-80. 10.1016/j.anucene.2014.03.030
  • Jewer S, Buchan AG, Pain CC and Cacuci DG (2014). An immersed body method for coupled neutron transport and thermal hydraulic simulations of PWR assemblies. Annals of Nuclear Energy  vol. 68, 124-135. 10.1016/j.anucene.2013.12.018
  • Xiao D, Fang F, Buchan AG, Pain CC, Navon IM, Du J and Hu G (2014). Non-linear model reduction for the Navier–Stokes equations using residual DEIM method. Journal of Computational Physics  vol. 263, 1-18. 10.1016/j.jcp.2014.01.011
  • Ardjmandpour N, Pain CC, Fang F, Buchan AG, Singer J, Player MA, Xu X, Navon IM and Carter J (2014). Reduced order borehole induction modelling. International Journal of Computational Fluid Dynamics  vol. 28, (3-4) 140-157. 10.1080/10618562.2014.923846
  • Buchan AG, Farrell PE, Gorman GJ, Goddard AJH, Eaton MD, Nygaard ET, Angelo PL, Smedley-Stevenson RP, Merton SR and Smith PN (2014). The immersed body supermeshing method for modelling reactor physics problems with complex internal structures. Annals of Nuclear Energy  vol. 63, 399-408. 10.1016/j.anucene.2013.07.044

2013

  • Buchan AG, Pain CC, Fang F and Navon IM (2013). A POD reduced‐order model for eigenvalue problems with application to reactor physics. International Journal For Numerical Methods in Engineering  vol. 95, (12) 1011-1032. 10.1002/nme.4533
  • Goffin MA, Baker CMJ, Buchan AG, Pain CC, Eaton MD and Smith PN (2013). Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes. Journal of Computational Physics  vol. 242, 726-752. 10.1016/j.jcp.2012.12.035
  • Baker CMJ, Buchan AG, Pain CC, Tollit BS, Goffin MA, Merton SR and Warner P (2013). Goal based mesh adaptivity for fixed source radiation transport calculations. Annals of Nuclear Energy  vol. 55, 169-183. 10.1016/j.anucene.2012.11.029
  • Merton SR, Buchan AG, Pain CC and Smedley-Stevenson RP (2013). An adjoint-based method for improving computational estimates of a functional obtained from the solution of the Boltzmann Transport Equation. Annals of Nuclear Energy  vol. 54, 1-10. 10.1016/j.anucene.2012.10.031
  • Baker CMJ, Buchan AG, Pain CC, Farrell PE, Eaton MD and Warner P (2013). Multimesh anisotropic adaptivity for the Boltzmann transport equation. Annals of Nuclear Energy  vol. 53, 411-426. 10.1016/j.anucene.2012.07.023
  • Buchan AG, Pain CC, Tollit BS, Gomes JLMA, Eaton MD, Gorman GJ, Cooling CM, Goddard AJH, Nygaard ET, Angelo PL and Smith PN (2013). Simulated spatially dependent transient kinetics analysis of the Oak Ridge Y12 plant criticality excursion. Progress in Nuclear Energy  vol. 63, 12-21. 10.1016/j.pnucene.2012.09.006
  • Xiao D, Fang F, Du J, Pain CC, Navon IM, Buchan AG, ElSheikh AH and Hu G (2013). Non-linear Petrov–Galerkin methods for reduced order modelling of the Navier–Stokes equations using a mixed finite element pair. Computer Methods in Applied Mechanics and Engineering  vol. 255, 147-157. 10.1016/j.cma.2012.11.002

2012

  • Buchan AG, Pain CC, Goddard AJH, Eaton MD, Gomes JLMA, Gorman GJ, Cooling CM, Tollit BS, Nygaard ET, Glenn DE and Angelo PL (2012). Simulated transient dynamics and heat transfer characteristics of the water boiler nuclear reactor – SUPO – with cooling coil heat extraction. Annals of Nuclear Energy  vol. 48, 68-83. 10.1016/j.anucene.2012.03.027
  • Baker CMJ, Buchan AG, Pain CC, Tollit B, Eaton MD and Warner P (2012). Quadratic inner element subgrid scale discretisation of the Boltzmann transport equation. Annals of Nuclear Energy  vol. 45, 124-137. 10.1016/j.anucene.2012.02.020
  • Buchan AG, Pain CC, Umpleby AP and Smedley¿Stevenson RP (2012). A sub‐grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation. International Journal For Numerical Methods in Engineering  vol. 92, (3) 318-342. 10.1002/nme.4350

2011

  • Buchan AG, Merton SR, Pain CC and Smedley-Stevenson RP (2011). Riemann boundary conditions for the Boltzmann transport equation using arbitrary angular approximations. Annals of Nuclear Energy  vol. 38, (5) 1186-1195. 10.1016/j.anucene.2010.11.019

2010

  • Buchan AG, Candy AS, Merton SR, Pain CC, Hadi JI, Eaton MD, Goddard AJH, Smedley-Stevenson RP and Pearce GJ (2010). The Inner-Element Subgrid Scale Finite Element Method for the Boltzmann Transport Equation. Nuclear Science and Engineering  vol. 164, (2) 105-121. 10.13182/nse08-82

2008

  • Merton SR, Pain CC, Smedley-Stevenson RP, Buchan AG and Eaton MD (2008). Optimal discontinuous finite element methods for the Boltzmann transport equation with arbitrary discretisation in angle. Annals of Nuclear Energy  vol. 35, (9) 1741-1759. 10.1016/j.anucene.2008.01.023
  • Buchan AG, Pain CC, Eaton MD, Goddard AJH and Smedley-Stevenson RP (2008). Linear and Quadratic Hexahedral Wavelets on the Sphere for Angular Discretizations of the Boltzmann Transport Equation. Nuclear Science and Engineering  vol. 159, (2) 127-152. 10.13182/nse159-127
  • Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP and Goddard AJH (2008). Chebyshev spectral hexahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equation. Annals of Nuclear Energy  vol. 35, (6) 1098-1108. 10.1016/j.anucene.2007.08.021
  • Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP and Goddard AJH (2008). Self-Adaptive Spherical Wavelets for Angular Discretizations of the Boltzmann Transport Equation. Nuclear Science and Engineering  vol. 158, (3) 244-263. 10.13182/nse08-a2751

2005

  • Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP and Goddard AJH (2005). Linear and quadratic octahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equation. Annals of Nuclear Energy  vol. 32, (11) 1224-1273. 10.1016/j.anucene.2005.01.005

Grants of specific relevance to Materials Research

Grants

  • Predictive Modelling for Nuclear Engineering
    Buchan AG
    £464,161 Engineering and Physical Sciences Research Council (18-06-2017 - 18-12-2021)
    Abstract
  • Managing Air for Green Inner Cities
    Linden PF, Birch DM, Buchan AG, Jones R, Carpentieri M, Boies A, Aristodemou E, Guo Y-K, Guthrie P, Short A, Fang F, Robins A, Choudhary R, Navon IM, Polak JW, Pain CC, Apsimon H, Gorman G, De Nazelle A, Moatamedi M, Yeatman EM, Steemers K, Hunt G, Herzog M, Leslie I, Cacuci DG, Jin Y, Brown DC and Hayden P
    £4,173,133 Engineering and Physical Sciences Research Council (15-12-2015 - 14-12-2021)
    Abstract
  • JUNO: A Network for Japan - UK Nuclear Opportunities
    Hyatt N, Corkhill CL, Hanson BC, Lee WEB, Jones CR, Pain CC, Buchan AG, Hriljac J, Joyce MJ, Nuttall WJ and Renshaw JC
    £488,145 Engineering and Physical Sciences Research Council (30-11-2016 - 29-11-2021)
    Abstract


  • Investigation of the safe removal of fuel debris: multi-physics simulation
    Pain CC and Buchan AG
    £504,023 Engineering and Physical Sciences Research Council (01-11-2016 - 29-09-2019)
    Abstract
  • Predictive Modelling for Nuclear Engineering
    Buchan AG
    £662,150 Engineering and Physical Sciences Research Council (01-01-2016 - 17-06-2017)
    Abstract
  • Reactor core-structure re-location modelling for severe nuclear accidents
    Pain CC, Xiang J, Matar OK, Cacuci DG, Jones AV, Smith P, Buchan AG and Moatamedi M
    £244,071 Engineering and Physical Sciences Research Council (30-11-2014 - 28-04-2017)
    Abstract
  • Realising the Commercial Potential of the Multi-Physics and Multi-Scale FETCH Technology for Nuclear Safety Applications
    Pain CC, Piggott MD, Latham J-P, Eaton MD, Gorman G, Buchan AG and Gomes JLM
    £105,921 Engineering and Physical Sciences Research Council (31-08-2010 - 30-08-2011)
    Abstract