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  1. Queen Mary University of London
  2. Research
  3. Publications

Publications: Dr Andrew Buchan

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Buchan AG, Navon IM, Yang L ( 2024 ) . A reduced order model discretisation of the space-angle phase-space dimensions of the Boltzmann transport equation with application to nuclear reactor problems . Journal of Computational Physics vol. 517 , 113268 - 113268 .
Pain C, Tehrani A, Heaney C, Chen B, Nwegbu K, Phillips T, Jones A, Dargaville S et al. ( 2023 ) . Computational Modelling in Nuclear Science and Engineering: The Role of Artificial Intelligence . Nuclear Future vol. 19 , ( 5 ) 42 - 50 .
toby P, heaney C, Chen B, Buchan A, Pain C ( 2023 ) . Solving the Discretised Neutron Diffusion Equations using Neural Networks . International Journal for Numerical Methods in Engineering
Little A, Piggott MD, Buchan AG ( 2022 ) . Authors reply to comment by Michio Aoyama on “Development of a gamma ray dose rate calculation and mapping tool for Lagrangian marine nuclear emergency response models” by Little et al . Marine Pollution Bulletin vol. 184 ,
Hughes AC, Buchan AG ( 2022 ) . An adaptive reduced order model for the angular discretization of the Boltzmann transport equation using independent basis sets over a partitioning of the space-angle domain . International Journal for Numerical Methods in Engineering vol. 123 , ( 16 ) 3781 - 3799 .
Buchan AG, Cacuci DG, Dargaville S, Pain CC ( 2022 ) . Optimised Adjoint Sensitivity Analysis Using Adjoint Guided Mesh Adaptivity Applied to Neutron Detector Response Calculations . Energies vol. 15 , ( 14 ) 5102 - 5102 .
Little A, Piggott MD, Buchan AG ( 2022 ) . Development of a gamma ray dose rate calculation and mapping tool for Lagrangian marine nuclear emergency response models . Marine Pollution Bulletin vol. 181 ,
Welch D, Buonanno M, Buchan AG, Yang L, Atkinson KD, Shuryak I, Brenner DJ ( 2022 ) . Inactivation Rates for Airborne Human Coronavirus by Low Doses of 222 nm Far-UVC Radiation . Viruses vol. 14 , ( 4 )
Buchan AG, Yang L, Welch D, Brenner DJ, Atkinson KD ( 2021 ) . Improved estimates of 222 nm far-UVC susceptibility for aerosolized human coronavirus via a validated high-fidelity coupled radiation-CFD code . Scientific Reports vol. 11 , ( 1 )
Heaney CE, Buchan AG, Pain CC, 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 )
Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN, Pain CC ( 2021 ) . A comparison of element agglomeration algorithms for unstructured geometric multigrid . Journal of Computational and Applied Mathematics vol. 390 ,
Buchan AG, Yang L, 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 )
Hughes AC, 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 .
Yang L, Buchan A, Pavlidis D, Jones A, Smith P, Sakai M, Pain C ( 2020 ) . A three-phase interpenetrating continua approach for wave and porous structure interaction . Engineering Computations
Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN, Pain CC ( 2019 ) . Scalable angular adaptivity for Boltzmann transport . Journal of Computational Physics Article 109124 , 109124 - 109124 .
Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN, Pain CC ( 2019 ) . Angular adaptivity with spherical harmonics for Boltzmann transport . Journal of Computational Physics vol. 397 , Article 108846 , 108846 - 108846 .
Buchan AG, Dargaville S, Pain CC ( 2019 ) . A combined immersed body and adaptive mesh method for simulating neutron transport within complex structures . Annals of Nuclear Energy vol. 134 , 88 - 100 .
BUCHAN AG ( 2019 ) . An angular reduced order model for radiative transfer in non grey media . Journal of Quantitative Spectroscopy and Radiative Transfer
Buchan A, Jewer S, 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 .
Yang L, Buchan A, Jones A, Smith P, Sakai M, Pain C ( 2019 ) . Adaptive Modelling for Multiphase Flow Through Debris Bed With Boiling . International Conference on Computational & Experimental Engineering and Sciences vol. 22 , ( 1 ) 95 - 95 .
Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN, Pain CC ( 2019 ) . Angular adaptivity with filtered P<inf>n</inf> methods . Transactions of the American Nuclear Society . vol. 120 , 479 - 482 .
Dargaville S, Buchan AGB, Smedley-Stevenson RP, Smith PN, Pain CC ( 2019 ) . Scalable angular adaptivity and robust error metrics . International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 . 52 - 60 .
Adigun BJ, BUCHAN AG, Adam A, Dargaville S, Goffin MA, Pain CC ( 2018 ) . A Haar Wavelet Method for Angularly Discretising the Boltzmann Transport Equation . Progress in Nuclear Energy
Heaney CE, Pain CC, Buchan AG, Jewer S ( 2018 ) . Reactor simulators and reduced order modeling . Nuclear Future vol. 14 , ( 3 ) 49 - 54 .
Dargaville S, Buchan A, Smedley-Stevenson R, Smith P, Pain C ( 2017 ) . Adaptive angle and parallel multigrid for deterministic shielding problems . EPJ Web of Conferences vol. 153 ,
Soucasse L, Dargaville S, Buchan AG, 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 .
Buchan AG, Pain CC, Eaton MD, Goddard AJH, Smedley-Stevenson RP ( 2017 ) . 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 .
Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP, Goddard AJH ( 2017 ) . Self-Adaptive Spherical Wavelets for Angular Discretizations of the Boltzmann Transport Equation . Nuclear Science and Engineering vol. 158 , ( 3 ) 244 - 263 .
Buchan AG, Candy AS, Merton SR, Pain CC, Hadi JI, Eaton MD, Goddard AJH, Smedley-Stevenson RP et al. ( 2017 ) . The Inner-Element Subgrid Scale Finite Element Method for the Boltzmann Transport Equation . Nuclear Science and Engineering vol. 164 , ( 2 ) 105 - 121 .
Buchan AG, Pain CC ( 2016 ) . An efficient space-angle subgrid scale discretisation of the neutron transport equation . Annals of Nuclear Energy vol. 94 , 440 - 450 .
Dargaville S, Goffin MA, Buchan AG, Pain CC, Smedley-Stevenson RP, Smith PN, Gorman G ( 2015 ) . Solving the Boltzmann transport equation with multigrid and adaptive space/angle discretisations . Annals of Nuclear Energy vol. 86 , 99 - 107 .
Adam A, Buchan AG, Piggott MD, Pain CC, Hill J, Goffin MA ( 2015 ) . Adaptive Haar wavelets for the angular discretisation of spectral wave models . Journal of Computational Physics vol. 305 , Article C , 521 - 538 .
Xiao D, Fang F, Buchan AG, Pain CC, Navon IM, Muggeridge A ( 2015 ) . Non-intrusive reduced order modelling of the Navier–Stokes equations . Computer Methods in Applied Mechanics and Engineering vol. 293 , Article C , 522 - 541 .
Buchan AG, Calloo AA, Goffin MG, Dargaville S, Fang F, Pain CC, Navon IM ( 2015 ) . A POD reduced order model for resolving angular direction in neutron/photon transport problems . Journal of Computational Physics vol. 296 , Article C , 138 - 157 .
Goffin MA, Buchan AG, Dargaville S, Pain CC, Smith PN, 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 , Article C , 1032 - 1062 .
Fang F, Zhang T, Pavlidis D, Pain CC, Buchan AG, 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 .
Merton SR, Smedley-Stevenson RP, Pain CC, Buchan AG ( 2014 ) . Adjoint eigenvalue correction for elliptic and hyperbolic neutron transport problems . Progress in Nuclear Energy vol. 76 , 1 - 16 .
Goffin MA, Buchan AG, Belme AC, Pain CC, Eaton MD, Smith PN, 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 .
Ardjmandpour N, Pain CC, Fang F, Buchan AG, Singer J, Player MA, Xu X, Navon IM et al. ( 2014 ) . Reduced order borehole induction modelling . International Journal of Computational Fluid Dynamics vol. 28 , ( 3-4 ) 140 - 157 .
Jewer S, Buchan AG, Pain CC, 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 .
Xiao D, Fang F, Buchan AG, Pain CC, Navon IM, Du J, Hu G ( 2014 ) . Non-linear model reduction for the Navier–Stokes equations using residual DEIM method . Journal of Computational Physics vol. 263 , 1 - 18 .
Buchan AG, Farrell PE, Gorman GJ, Goddard AJH, Eaton MD, Nygaard ET, Angelo PL, Smedley-Stevenson RP et al. ( 2014 ) . The immersed body supermeshing method for modelling reactor physics problems with complex internal structures . Annals of Nuclear Energy vol. 63 , 399 - 408 .
Buchan AG, Pain CC, Fang F, 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 .
Goffin MA, Baker CMJ, Buchan AG, Pain CC, Eaton MD, 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 .
Baker CMJ, Buchan AG, Pain CC, Tollit BS, Goffin MA, Merton SR, Warner P ( 2013 ) . Goal based mesh adaptivity for fixed source radiation transport calculations . Annals of Nuclear Energy vol. 55 , 169 - 183 .
Merton SR, Buchan AG, Pain CC, 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 .
Baker CMJ, Buchan AG, Pain CC, Farrell PE, Eaton MD, Warner P ( 2013 ) . Multimesh anisotropic adaptivity for the Boltzmann transport equation . Annals of Nuclear Energy vol. 53 , 411 - 426 .
Xiao D, Fang F, Du J, Pain CC, Navon IM, Buchan AG, ElSheikh AH, 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 .
Buchan AG, Pain CC, Tollit BS, Gomes JLMA, Eaton MD, Gorman GJ, Cooling CM, Goddard AJH et al. ( 2013 ) . Simulated spatially dependent transient kinetics analysis of the Oak Ridge Y12 plant criticality excursion . Progress in Nuclear Energy vol. 63 , 12 - 21 .
Buchan AG, Pain CC, Goddard AJH, Eaton MD, Gomes JLMA, Gorman GJ, Cooling CM, Tollit BS et al. ( 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 .
Baker CMJ, Buchan AG, Pain CC, Tollit B, Eaton MD, Warner P ( 2012 ) . Quadratic inner element subgrid scale discretisation of the Boltzmann transport equation . Annals of Nuclear Energy vol. 45 , 124 - 137 .
Buchan AG, Pain CC, Umpleby AP, 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 .
Buchan AG, Merton SR, Pain CC, 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 .
Merton SR, Pain CC, Smedley-Stevenson RP, Buchan AG, 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 .
Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP, 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 .
Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP, 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 .
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