Dr Andrew Buchan
BSc MSc PhD
All Publications
Page 1 of 2
2023
- toby P, heaney C, Chen B, Buchan A and Pain C (2023). Solving the Discretised Neutron Diffusion Equations using Neural Networks. Wiley International Journal For Numerical Methods in Engineering
12-07-2023
2022
- Little A, Piggott MD and 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
01-11-2022 - Hughes AC and 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.
30-08-2022 - Buchan AG, Cacuci DG, Dargaville S and Pain CC (2022). Optimised Adjoint Sensitivity Analysis Using Adjoint Guided Mesh Adaptivity Applied to Neutron Detector Response Calculations. Mdpi Energies vol. 15 (14), 5102-5102.
13-07-2022 - Little A, Piggott MD and Buchan AG (2022). Development of a gamma ray dose rate calculation and mapping tool for Lagrangian marine nuclear emergency response models. Elsevier Marine Pollution Bulletin vol. 181
08-07-2022 - Welch D, Buonanno M, Buchan AG, Yang L, Atkinson KD, Shuryak I and Brenner DJ (2022). Inactivation Rates for Airborne Human Coronavirus by Low Doses of 222 nm Far-UVC Radiation. Viruses vol. 14 (4)
01-04-2022
2021
- Buchan AG, Yang L, Welch D, Brenner DJ and 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)
01-12-2021 - 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)
01-03-2021 - 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
12-01-2021
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.
30-12-2020 - 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)
01-12-2020 - 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
14-05-2020
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.
20-11-2019 - 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.
31-07-2019 - 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.
11-06-2019 - BUCHAN AG (2019). An angular reduced order model for radiative transfer in non grey media. Elsevier Journal of Quantitative Spectroscopy and Radiative Transfer
09-03-2019 - Buchan A, Jewer S and Navon IM (2019). A Reduced Order Model for the Fast Predictions of Reactivity and Neutron Distributions within Reactor Cores. Computers, Materials and Continua (Tech Science Press) International Conference On Computational & Experimental Engineering and Sciences vol. 22 (4), 179-179.
01-01-2019 - Yang L, Buchan A, Jones A, Smith P, Sakai M and Pain C (2019). Adaptive Modelling for Multiphase Flow Through Debris Bed With Boiling. Computers, Materials and Continua (Tech Science Press) International Conference On Computational & Experimental Engineering and Sciences vol. 22 (1), 95-95.
01-01-2019
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
13-06-2018
2017
- 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.
19-06-2017 - Dargaville S, Buchan A, Smedley-Stevenson R, Smith P and Pain C (2017). Adaptive angle and parallel multigrid for deterministic shielding problems. Edp Sciences Epj Web of Conferences vol. 153
01-01-2017
2016
- Buchan AG and Pain CC (2016). An efficient space-angle subgrid scale discretisation of the neutron transport equation. Elsevier Annals of Nuclear Energy vol. 94, 440-450.
01-08-2016
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. Elsevier Annals of Nuclear Energy vol. 86, 99-107.
01-12-2015 - 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.
02-11-2015 - 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.
28-05-2015 - 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.
04-05-2015
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.
06-11-2014 - 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. Elsevier Atmospheric Environment vol. 96, 96-106.
01-10-2014 - Merton SR, Smedley-Stevenson RP, Pain CC and Buchan AG (2014). Adjoint eigenvalue correction for elliptic and hyperbolic neutron transport problems. Elsevier Progress in Nuclear Energy vol. 76, 1-16.
01-09-2014 - 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. Elsevier Annals of Nuclear Energy vol. 71, 60-80.
01-09-2014 - 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. Elsevier Annals of Nuclear Energy vol. 68, 124-135.
01-06-2014 - 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. Elsevier Journal of Computational Physics vol. 263, 1-18.
01-04-2014 - 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. Taylor & Francis International Journal of Computational Fluid Dynamics vol. 28 (3-4), 140-157.
16-03-2014 - 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. Elsevier Annals of Nuclear Energy vol. 63, 399-408.
01-01-2014
2013
- Buchan AG, Pain CC, Fang F and Navon IM (2013). A POD reduced‐order model for eigenvalue problems with application to reactor physics. Wiley International Journal For Numerical Methods in Engineering vol. 95 (12), 1011-1032.
03-07-2013 - 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. Elsevier Journal of Computational Physics vol. 242, 726-752.
01-06-2013 - 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. Elsevier Annals of Nuclear Energy vol. 55, 169-183.
01-05-2013 - 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. Elsevier Annals of Nuclear Energy vol. 54, 1-10.
01-04-2013 - Baker CMJ, Buchan AG, Pain CC, Farrell PE, Eaton MD and Warner P (2013). Multimesh anisotropic adaptivity for the Boltzmann transport equation. Elsevier Annals of Nuclear Energy vol. 53, 411-426.
01-03-2013 - 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. Elsevier Computer Methods in Applied Mechanics and Engineering vol. 255, 147-157.
01-03-2013 - 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. Elsevier Progress in Nuclear Energy vol. 63, 12-21.
01-03-2013
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. Elsevier Annals of Nuclear Energy vol. 48, 68-83.
01-10-2012 - 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. Elsevier Annals of Nuclear Energy vol. 45, 124-137.
01-07-2012 - 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. Wiley International Journal For Numerical Methods in Engineering vol. 92 (3), 318-342.
12-06-2012
2011
- Buchan AG, Merton SR, Pain CC and Smedley-Stevenson RP (2011). Riemann boundary conditions for the Boltzmann transport equation using arbitrary angular approximations. Elsevier Annals of Nuclear Energy vol. 38 (5), 1186-1195.
01-05-2011
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. Taylor & Francis Nuclear Science and Engineering vol. 164 (2), 105-121.
01-02-2010
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. Elsevier Annals of Nuclear Energy vol. 35 (9), 1741-1759.
01-09-2008 - 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. Elsevier Annals of Nuclear Energy vol. 35 (6), 1098-1108.
01-06-2008 - 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. Taylor & Francis Nuclear Science and Engineering vol. 159 (2), 127-152.
01-06-2008 - 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. Taylor & Francis Nuclear Science and Engineering vol. 158 (3), 244-263.
01-03-2008