Dr Andrew Buchan
BSc MSc PhD,

 

All Publications

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2024

  • A reduced order model discretisation of the space-angle phase-space dimensions of the Boltzmann transport equation with application to nuclear reactor problems
    Buchan AG, Navon IM and Yang L
    Journal of Computational Physics, Elsevier vol. 517, 113268-113268.  
    10-07-2024

2023

  • Computational Modelling in Nuclear Science and Engineering: The Role of Artificial Intelligence
    Pain C, Tehrani A, Heaney C, Chen B, Nwegbu K, Phillips T, Jones A, Dargaville S, Buchan A, Smith P, Bankhead M and Cacuci D
    Nuclear Future vol. 19 (5), 42-50.  
    01-09-2023
  • Solving the Discretised Neutron Diffusion Equations using Neural Networks
    toby P, heaney C, Chen B, Buchan A and Pain C
    International Journal For Numerical Methods in Engineering, Wiley 
    12-07-2023

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.
    Little A, Piggott MD and Buchan AG
    Marine Pollution Bulletin, Elsevier vol. 184 
    10-10-2022
  • 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
    Hughes AC and Buchan AG
    International Journal For Numerical Methods in Engineering vol. 123 (16), 3781-3799.  
    30-08-2022
  • Optimised Adjoint Sensitivity Analysis Using Adjoint Guided Mesh Adaptivity Applied to Neutron Detector Response Calculations
    Buchan AG, Cacuci DG, Dargaville S and Pain CC
    Energies, Mdpi vol. 15 (14), 5102-5102.  
    13-07-2022
  • Development of a gamma ray dose rate calculation and mapping tool for Lagrangian marine nuclear emergency response models
    Little A, Piggott MD and Buchan AG
    Marine Pollution Bulletin, Elsevier vol. 181 
    08-07-2022
  • Inactivation Rates for Airborne Human Coronavirus by Low Doses of 222 nm Far-UVC Radiation
    Welch D, Buonanno M, Buchan AG, Yang L, Atkinson KD, Shuryak I and Brenner DJ
    Viruses, Mdpi vol. 14 (4) 
    25-03-2022

2021

  • Improved estimates of 222 nm far-UVC susceptibility for aerosolized human coronavirus via a validated high-fidelity coupled radiation-CFD code
    Buchan AG, Yang L, Welch D, Brenner DJ and Atkinson KD
    Scientific Reports, Springer Nature vol. 11 (1) 
    07-10-2021
  • Reduced-order modelling applied to the multigroup neutron diffusion equation using a nonlinear interpolation method for control-rod movement
    Heaney CE, Buchan AG, Pain CC and Jewer S
    Energies vol. 14 (5) 
    01-03-2021
  • A comparison of element agglomeration algorithms for unstructured geometric multigrid
    Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN and Pain CC
    Journal of Computational and Applied Mathematics, Elsevier vol. 390 
    12-01-2021

2020

  • Predicting airborne coronavirus inactivation by far-UVC in populated rooms using a high-fidelity coupled radiation-CFD model
    Buchan AG, Yang L and Atkinson KD
    Scientific Reports, Springer Nature vol. 10 (1) 
    12-11-2020
  • A discontinuous and adaptive reduced order model for the angular discretization of the Boltzmann transport equation
    Hughes AC and Buchan AG
    International Journal For Numerical Methods in Engineering, Wiley vol. 121 (24), 5647-5666.  
    20-09-2020
  • A three-phase interpenetrating continua approach for wave and porous structure interaction
    Yang L, Buchan A, Pavlidis D, Jones A, Smith P, Sakai M and Pain C
    Engineering Computations, Emerald Publishing Limited. 
    14-05-2020

2019

  • Scalable angular adaptivity for Boltzmann transport
    Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN and Pain CC
    Journal of Computational Physics, Elsevier Bv, 109124-109124.  
    20-11-2019
  • Angular adaptivity with spherical harmonics for Boltzmann transport
    Dargaville S, Buchan AG, Smedley-Stevenson RP, Smith PN and Pain CC
    Journal of Computational Physics, Elsevier Bv vol. 397, 108846-108846.  
    31-07-2019
  • A combined immersed body and adaptive mesh method for simulating neutron transport within complex structures
    Buchan AG, Dargaville S and Pain CC
    Annals of Nuclear Energy, Elsevier Bv vol. 134, 88-100.  
    11-06-2019
  • An angular reduced order model for radiative transfer in non grey media
    BUCHAN AG
    Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier 
    09-03-2019
  • A Reduced Order Model for the Fast Predictions of Reactivity and Neutron Distributions within Reactor Cores
    Buchan A, Jewer S and Navon IM
    International Conference On Computational & Experimental Engineering and Sciences, Tech Science Press vol. 22 (4), 179-179.  
    01-01-2019
  • Adaptive Modelling for Multiphase Flow Through Debris Bed With Boiling
    Yang L, Buchan A, Jones A, Smith P, Sakai M and Pain C
    International Conference On Computational & Experimental Engineering and Sciences, Tech Science Press vol. 22 (1), 95-95.  
    01-01-2019

2018

  • A Haar Wavelet Method for Angularly Discretising the Boltzmann Transport Equation
    Adigun BJ, BUCHAN AG, Adam A, Dargaville S, Goffin MA and Pain CC
    Progress in Nuclear Energy, Elsevier 
    13-06-2018
  • Reactor simulators and reduced order modeling
    Heaney CE, Pain CC, Buchan AG and Jewer S
    Nuclear Future vol. 14 (3), 49-54.  
    01-01-2018

2017

  • A goal-based angular adaptivity method for thermal radiation modelling in non grey media
    Soucasse L, Dargaville S, Buchan AG and Pain CC
    Journal of Quantitative Spectroscopy and Radiative Transfer vol. 200, 215-224.  
    19-06-2017
  • Adaptive angle and parallel multigrid for deterministic shielding problems
    Dargaville S, Buchan A, Smedley-Stevenson R, Smith P and Pain C
    Epj Web of Conferences, Edp Sciences vol. 153 
    01-01-2017

2016

2015

  • Solving the Boltzmann transport equation with multigrid and adaptive space/angle discretisations
    Dargaville S, Goffin MA, Buchan AG, Pain CC, Smedley-Stevenson RP, Smith PN and Gorman G
    Annals of Nuclear Energy, Elsevier vol. 86, 99-107.  
    01-12-2015
  • Adaptive Haar wavelets for the angular discretisation of spectral wave models
    Adam A, Buchan AG, Piggott MD, Pain CC, Hill J and Goffin MA
    Journal of Computational Physics vol. 305, 521-538.  
    02-11-2015
  • Non-intrusive reduced order modelling of the Navier–Stokes equations
    Xiao D, Fang F, Buchan AG, Pain CC, Navon IM and Muggeridge A
    Computer Methods in Applied Mechanics and Engineering vol. 293, 522-541.  
    28-05-2015
  • A POD reduced order model for resolving angular direction in neutron/photon transport problems
    Buchan AG, Calloo AA, Goffin MG, Dargaville S, Fang F, Pain CC and Navon IM
    Journal of Computational Physics vol. 296, 138-157.  
    04-05-2015

2014

  • Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation
    Goffin MA, Buchan AG, Dargaville S, Pain CC, Smith PN and Smedley-Stevenson RP
    Journal of Computational Physics vol. 281, 1032-1062.  
    06-11-2014
  • Reduced order modelling of an unstructured mesh air pollution model and application in 2D/3D urban street canyons
    Fang F, Zhang T, Pavlidis D, Pain CC, Buchan AG and Navon IM
    Atmospheric Environment, Elsevier vol. 96, 96-106.  
    01-10-2014
  • Adjoint eigenvalue correction for elliptic and hyperbolic neutron transport problems
    Merton SR, Smedley-Stevenson RP, Pain CC and Buchan AG
    Progress in Nuclear Energy, Elsevier vol. 76, 1-16.  
    01-09-2014
  • Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation
    Goffin MA, Buchan AG, Belme AC, Pain CC, Eaton MD, Smith PN and Smedley-Stevenson RP
    Annals of Nuclear Energy, Elsevier vol. 71, 60-80.  
    01-09-2014
  • An immersed body method for coupled neutron transport and thermal hydraulic simulations of PWR assemblies
    Jewer S, Buchan AG, Pain CC and Cacuci DG
    Annals of Nuclear Energy, Elsevier vol. 68, 124-135.  
    01-06-2014
  • Non-linear model reduction for the Navier–Stokes equations using residual DEIM method
    Xiao D, Fang F, Buchan AG, Pain CC, Navon IM, Du J and Hu G
    Journal of Computational Physics, Elsevier vol. 263, 1-18.  
    01-04-2014
  • Reduced order borehole induction modelling
    Ardjmandpour N, Pain CC, Fang F, Buchan AG, Singer J, Player MA, Xu X, Navon IM and Carter J
    International Journal of Computational Fluid Dynamics, Taylor & Francis vol. 28 (3-4), 140-157.  
    16-03-2014
  • The immersed body supermeshing method for modelling reactor physics problems with complex internal structures
    Buchan AG, Farrell PE, Gorman GJ, Goddard AJH, Eaton MD, Nygaard ET, Angelo PL, Smedley-Stevenson RP, Merton SR and Smith PN
    Annals of Nuclear Energy, Elsevier vol. 63, 399-408.  
    01-01-2014

2013

  • A POD reduced‐order model for eigenvalue problems with application to reactor physics
    Buchan AG, Pain CC, Fang F and Navon IM
    International Journal For Numerical Methods in Engineering, Wiley vol. 95 (12), 1011-1032.  
    03-07-2013
  • Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes
    Goffin MA, Baker CMJ, Buchan AG, Pain CC, Eaton MD and Smith PN
    Journal of Computational Physics, Elsevier vol. 242, 726-752.  
    01-06-2013
  • Goal based mesh adaptivity for fixed source radiation transport calculations
    Baker CMJ, Buchan AG, Pain CC, Tollit BS, Goffin MA, Merton SR and Warner P
    Annals of Nuclear Energy, Elsevier vol. 55, 169-183.  
    01-05-2013
  • An adjoint-based method for improving computational estimates of a functional obtained from the solution of the Boltzmann Transport Equation
    Merton SR, Buchan AG, Pain CC and Smedley-Stevenson RP
    Annals of Nuclear Energy, Elsevier vol. 54, 1-10.  
    01-04-2013
  • Multimesh anisotropic adaptivity for the Boltzmann transport equation
    Baker CMJ, Buchan AG, Pain CC, Farrell PE, Eaton MD and Warner P
    Annals of Nuclear Energy, Elsevier vol. 53, 411-426.  
    01-03-2013
  • Non-linear Petrov–Galerkin methods for reduced order modelling of the Navier–Stokes equations using a mixed finite element pair
    Xiao D, Fang F, Du J, Pain CC, Navon IM, Buchan AG, ElSheikh AH and Hu G
    Computer Methods in Applied Mechanics and Engineering, Elsevier vol. 255, 147-157.  
    01-03-2013
  • Simulated spatially dependent transient kinetics analysis of the Oak Ridge Y12 plant criticality excursion
    Buchan AG, Pain CC, Tollit BS, Gomes JLMA, Eaton MD, Gorman GJ, Cooling CM, Goddard AJH, Nygaard ET, Angelo PL and Smith PN
    Progress in Nuclear Energy, Elsevier vol. 63, 12-21.  
    01-03-2013

2012

  • Simulated transient dynamics and heat transfer characteristics of the water boiler nuclear reactor – SUPO – with cooling coil heat extraction
    Buchan AG, Pain CC, Goddard AJH, Eaton MD, Gomes JLMA, Gorman GJ, Cooling CM, Tollit BS, Nygaard ET, Glenn DE and Angelo PL
    Annals of Nuclear Energy, Elsevier vol. 48, 68-83.  
    01-10-2012
  • Quadratic inner element subgrid scale discretisation of the Boltzmann transport equation
    Baker CMJ, Buchan AG, Pain CC, Tollit B, Eaton MD and Warner P
    Annals of Nuclear Energy, Elsevier vol. 45, 124-137.  
    01-07-2012
  • A sub‐grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation
    Buchan AG, Pain CC, Umpleby AP and Smedley‐Stevenson RP
    International Journal For Numerical Methods in Engineering, Wiley vol. 92 (3), 318-342.  
    12-06-2012

2011

  • Riemann boundary conditions for the Boltzmann transport equation using arbitrary angular approximations
    Buchan AG, Merton SR, Pain CC and Smedley-Stevenson RP
    Annals of Nuclear Energy, Elsevier vol. 38 (5), 1186-1195.  
    01-05-2011

2010

  • The Inner-Element Subgrid Scale Finite Element Method for the Boltzmann Transport Equation
    Buchan AG, Candy AS, Merton SR, Pain CC, Hadi JI, Eaton MD, Goddard AJH, Smedley-Stevenson RP and Pearce GJ
    Nuclear Science and Engineering, Taylor & Francis vol. 164 (2), 105-121.  
    01-02-2010

2008

  • Optimal discontinuous finite element methods for the Boltzmann transport equation with arbitrary discretisation in angle
    Merton SR, Pain CC, Smedley-Stevenson RP, Buchan AG and Eaton MD
    Annals of Nuclear Energy, Elsevier vol. 35 (9), 1741-1759.  
    01-09-2008

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