Publications:  Dr Andrew Buchan

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 (Swansea, Wales)

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.

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.

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.

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,

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.

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.

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.

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, 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, 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, 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.

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

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, Goddard AJH, 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.

Buchan AG, Pain CC, Eaton MD, Smedley-Stevenson RP, Goddard AJH(2008). Self-Adaptive Spherical Wavelets for Angular Discretizations of the Boltzmann Transport Equation. Nuclear Science and Engineering vol. 158, (3) 244-263.

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.