Dr Andrew Buchan

Senior Lecturer in Engineering Science
Education Lead of The Centre for Sustainable Engineering
School of Engineering and Materials Science
Queen Mary University of London
Queen Mary University of London
Research
Computational Physics, Reactor Physics, Finite Elements
Interests
I specialise in developing computational methods for multi-physics modelling of radiation, fluid flow, and heat transfer, with applications in nuclear engineering, environmental flows, pollution dispersion, ultraviolet-C light for disease removal in air, and chemical removal in drinking water. I have over 20 years of research experience in developing numerical methods, spanning finite elements, control volume, adaptive resolution, Krylov solvers, multi-grid, reduced-order models, sub-grid models, sensitivity analysis, uncertainty quantification, and AI-based modelling. I have developed several frameworks, including FETCH and FETCH2, which are multi-physics codes for nuclear modelling based at Imperial College London, and Wyvern, a coupled radiation-fluid flow simulator for assessing ultraviolet light inactivation of diseases in air and water. I have secured over £8 million in research funding, including an EPSRC early career research fellowship.Publications
Publications of specific relevance to the Centre for Sustainable Engineering2025
Hybrid solvers for reactor modelling: matrix-based and matrix-free approaches on voxel-dominated meshesYang L Yang J Popov J Buchan AG
Frontiers in Nuclear Engineering, Frontiers vol. 4
15-10-2025
A parametric non-linear non-intrusive reduce-order model using deep transfer learningFu R Xiao D Buchan AG Feng Y Dong G
Computer Methods in Applied Mechanics and Engineering, Elsevier vol. 438
01-04-2025
2024
A reduced order model discretisation of the space-angle phase-space dimensions of the Boltzmann transport equation with application to nuclear reactor problemsBuchan AG Navon IM
Journal of Computational Physics, Elsevier vol. 517, 113268-113268.
10-07-2024
2023
Computational Modelling in Nuclear Science and Engineering: The Role of Artificial IntelligencePain C Heaney C Chen B Nwegbu K Phillips T Jones A Dargaville S Buchan A et al.
Nuclear Future vol. 19 (5), 42-50.
01-09-2023
Solving the Discretised Neutron Diffusion Equations using Neural Networkstoby P heaney C Chen B Buchan A
International Journal For Numerical Methods in Engineering, Wiley
12-07-2023
Solving the Discretised Boltzmann Transport Equations using Neural Networks: Applications in Neutron TransportPhillips TRF Heaney CE Boyang C Buchan AG Pain CC
In Arxiv
24-01-2023
Solving the Discretised Neutron Diffusion Equations using Neural NetworksPhillips TRF Heaney CE Boyang C Buchan AG Pain CC
In Arxiv
24-01-2023
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
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 domainHughes AC 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 CalculationsBuchan AG Cacuci DG Dargaville S
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 modelsLittle A Piggott MD
Marine Pollution Bulletin, Elsevier vol. 181
08-07-2022
Inactivation Rates for Airborne Human Coronavirus by Low Doses of 222 nm Far-UVC RadiationWelch D Buonanno M Buchan AG Yang L Atkinson KD
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 codeBuchan AG Yang L Welch D Brenner DJ
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 movementHeaney CE Buchan AG Jewer S
Energies vol. 14 (5)
01-03-2021
A comparison of element agglomeration algorithms for unstructured geometric multigridDargaville S Buchan AG Smedley-Stevenson RP
Journal of Computational and Applied Mathematics, Elsevier vol. 390
12-01-2021
2020
A comparison of element agglomeration algorithms for unstructured geometric multigridDargaville S Buchan AG Smith PN Pain CC
In Arxiv
18-05-2020
A three-phase interpenetrating continua approach for wave and porous structure interactionYang L Buchan A Pavlidis D Smith P Sakai M
Engineering Computations, Emerald Publishing Limited.
14-05-2020
2019
Scalable angular adaptivity for Boltzmann transportDargaville S Buchan AG Smedley-Stevenson RP
Journal of Computational Physics, Elsevier Bv, 109124-109124.
20-11-2019
Angular adaptivity with spherical harmonics for Boltzmann transportDargaville S Smedley-Stevenson RP Smith PN
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 structuresBuchan AG Dargaville S
Annals of Nuclear Energy, Elsevier Bv vol. 134, 88-100.
11-06-2019
Angular adaptivity with spherical harmonics for Boltzmann transportDargaville S Buchan AG Smedley-Stevenson RP Smith PN
In Arxiv
11-03-2019
An angular reduced order model for radiative transfer in non grey mediaBUCHAN AG
Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier
09-03-2019
Scalable angular adaptivity for Boltzmann transportDargaville S Buchan AG Smedley-Stevenson RP Smith PN
In Arxiv
15-01-2019
Scalable angular adaptivity and robust error metricsDargaville S Buchan AGB Smedley-Stevenson RP Smith PN
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering M and C 2019., 52-60.
01-01-2019
A Reduced Order Model for the Fast Predictions of Reactivity and Neutron Distributions within Reactor CoresBuchan A Jewer S
International Conference on Computational & Experimental Engineering and Sciences, Tech Science Press vol. 22 (4), 179-179.
01-01-2019
Angular adaptivity with filtered Pn methodsDargaville S Buchan AG Smith PN Pain CC
Transactions of the American Nuclear Society. vol. 120, 479-482.
01-01-2019
Adaptive Modelling for Multiphase Flow Through Debris Bed With BoilingYang L Buchan A Jones A Smith P 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 EquationAdigun BJ BUCHAN AG Adam A Pain CC
Progress in Nuclear Energy, Elsevier
13-06-2018
Reactor simulators and reduced order modelingHeaney CE Pain CC Buchan AG
Nuclear Future vol. 14 (3), 49-54.
01-01-2018
2017
A goal-based angular adaptivity method for thermal radiation modelling in non grey mediaSoucasse L Dargaville S Buchan AG
Journal of Quantitative Spectroscopy and Radiative Transfer vol. 200, 215-224.
19-06-2017
Adaptive angle and parallel multigrid for deterministic shielding problemsDargaville S Buchan A Smedley-Stevenson R Smith P
Epj Web of Conferences, Edp Sciences vol. 153
01-01-2017
2016
An efficient space-angle subgrid scale discretisation of the neutron transport equationBuchan AG Pain CC
Annals of Nuclear Energy, Elsevier vol. 94, 440-450.
01-08-2016
2015
Solving the Boltzmann transport equation with multigrid and adaptive space/angle discretisationsDargaville S Goffin MA Buchan AG Pain CC Smith PN
Annals of Nuclear Energy, Elsevier vol. 86, 99-107.
01-12-2015
Adaptive Haar wavelets for the angular discretisation of spectral wave modelsAdam A Buchan AG Piggott MD Pain CC
Journal of Computational Physics vol. 305, 521-538.
02-11-2015
Non-intrusive reduced order modelling of the Navier–Stokes equationsXiao D Fang F Buchan AG Navon IM 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 problemsBuchan AG Goffin MG Dargaville S Pain CC
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 equationGoffin MA Buchan AG Dargaville S Pain CC
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 canyonsFang F Zhang T Pavlidis D Pain CC Navon IM
Atmospheric Environment, Elsevier vol. 96, 96-106.
01-10-2014
Adjoint eigenvalue correction for elliptic and hyperbolic neutron transport problemsMerton SR Smedley-Stevenson RP 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 equationGoffin MA Buchan AG Belme AC Pain CC Eaton MD Smith PN
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 assembliesJewer S Pain CC 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 methodXiao D Buchan AG Pain CC Navon IM Du J
Journal of Computational Physics, Elsevier vol. 263, 1-18.
01-04-2014
Reduced order borehole induction modellingArdjmandpour N Pain CC Fang F Buchan AG Singer J Player MA Xu X
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 structuresBuchan AG Farrell PE Gorman GJ Goddard AJH Eaton MD Nygaard ET Angelo PL
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 physicsBuchan AG Pain CC Fang F
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 meshesGoffin MA Baker CMJ Buchan AG Eaton MD
Journal of Computational Physics, Elsevier vol. 242, 726-752.
01-06-2013
Goal based mesh adaptivity for fixed source radiation transport calculationsBaker CMJ Buchan AG Pain CC Tollit BS 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 EquationMerton SR Pain CC
Annals of Nuclear Energy, Elsevier vol. 54, 1-10.
01-04-2013
Multimesh anisotropic adaptivity for the Boltzmann transport equationBaker CMJ Buchan AG Pain CC Warner P
Annals of Nuclear Energy, Elsevier vol. 53, 411-426.
01-03-2013
Simulated spatially dependent transient kinetics analysis of the Oak Ridge Y12 plant criticality excursionBuchan AG Pain CC Tollit BS Gomes JLMA Eaton MD Goddard AJH Nygaard ET
Progress in Nuclear Energy, Elsevier vol. 63, 12-21.
01-03-2013
Non-linear Petrov–Galerkin methods for reduced order modelling of the Navier–Stokes equations using a mixed finite element pairXiao D Fang F Du J Pain CC Navon IM
Computer Methods in Applied Mechanics and Engineering, Elsevier vol. 255, 147-157.
01-03-2013
2012
Simulated transient dynamics and heat transfer characteristics of the water boiler nuclear reactor – SUPO – with cooling coil heat extractionBuchan AG Pain CC Goddard AJH Eaton MD Gomes JLMA Gorman GJ Tollit BS
Annals of Nuclear Energy, Elsevier vol. 48, 68-83.
01-10-2012
Quadratic inner element subgrid scale discretisation of the Boltzmann transport equationBaker CMJ Buchan AG Tollit B
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 equationBuchan AG Pain CC 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 approximationsBuchan AG Merton SR Pain CC
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 EquationBuchan AG Candy AS Merton SR Pain CC Hadi JI Eaton MD
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 angleMerton SR Pain CC Buchan AG
Annals of Nuclear Energy, Elsevier vol. 35 (9), 1741-1759.
01-09-2008
Linear and Quadratic Hexahedral Wavelets on the Sphere for Angular Discretizations of the Boltzmann Transport EquationBuchan AG Pain CC Eaton MD Goddard AJH
Nuclear Science and Engineering, Taylor & Francis vol. 159 (2), 127-152.
01-06-2008
Chebyshev spectral hexahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equationBuchan AG Pain CC Eaton MD Smedley-Stevenson RP
Annals of Nuclear Energy, Elsevier vol. 35 (6), 1098-1108.
01-06-2008
Self-Adaptive Spherical Wavelets for Angular Discretizations of the Boltzmann Transport EquationBuchan AG Pain CC Eaton MD Smedley-Stevenson RP
Nuclear Science and Engineering, Taylor & Francis vol. 158 (3), 244-263.
01-03-2008
2005
Linear and quadratic octahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equationBuchan AG Pain CC Eaton MD Smedley-Stevenson RP
Annals of Nuclear Energy, Elsevier vol. 32 (11), 1224-1273.
01-07-2005
A Discontinuous and Adaptive Reduced Order Model for the Angular Discretisation of the Boltzmann Transport EquationBuchan A Hughes AC
International Journal For Numerical Methods in Engineering, Wiley
Predicting airborne coronavirus inactivation by far-UVC in populated rooms using a high-fidelity coupled radiation-CFD modelBuchan A
Scientific Reports, Nature Publishing Group
Grants of specific relevance to the Centre for Sustainable Engineering
Grants of specific relevance to the Centre for Sustainable Engineering
Parallel solvers for voxel-dominant meshes for the Boltzmann Transport EquationAndrew Buchan
£10,000 Science & Technology Research Council (STFC)
01-11-2024 - 30-06-2025
Fukushima ALPS water A modelling framework for predicting tritium dispersion released within the marine environmentAndrew Buchan
£20,000 EPSRC Engineering and Physical Sciences Research Council
01-10-2023 - 29-02-2024
Early Career Fellowship-GRANT TRANSFERAndrew Buchan
£464,161 EPSRC Engineering and Physical Sciences Research Council
19-06-2017 - 18-12-2022
Research Group
PhD Students
- Jakov Popov
Framework For Novel Hybrid Neutron Transport Roms
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