A POD reduced order model for resolving angular direction in neutron/photon transport problems

AG Buchan, AA Calloo, MG Goffin, S Dargaville… - Journal of …, 2015 - Elsevier
This article presents the first Reduced Order Model (ROM) that efficiently resolves the
angular dimension of the time independent, mono-energetic Boltzmann Transport Equation …

A space–angle DGFEM approach for the Boltzmann radiation transport equation with local angular refinement

J Kópházi, D Lathouwers - Journal of Computational Physics, 2015 - Elsevier
In this paper a new method for the discretization of the radiation transport equation is
presented, based on a discontinuous Galerkin method in space and angle that allows for …

Goal-based angular adaptivity with contributon theory for the discrete ordinates transport equation

D Ni, W Xinyu, Z Bin, Q Youheng, X Longfei - Progress in Nuclear Energy, 2024 - Elsevier
A goal-based angular adaptivity has been described for solving the discrete ordinates
transport equation. This method uses the linear discontinuous finite element quadrature …

[HTML][HTML] AIR multigrid with GMRES polynomials (AIRG) and additive preconditioners for Boltzmann transport

S Dargaville, RP Smedley-Stevenson, PN Smith… - Journal of …, 2024 - Elsevier
We develop a reduction multigrid based on approximate ideal restriction (AIR) for use with
asymmetric linear systems. We use fixed-order GMRES polynomials to approximate A ff− 1 …

Scalable angular adaptivity for Boltzmann transport

S Dargaville, AG Buchan… - Journal of …, 2020 - Elsevier
This paper describes an angular adaptivity algorithm for Boltzmann transport applications
which for the first time shows evidence of O (n) scaling in both runtime and memory usage …

Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation

MA Goffin, AG Buchan, S Dargaville, CC Pain… - Journal of …, 2015 - Elsevier
A method for applying goal-based adaptive methods to the angular resolution of the neutral
particle transport equation is presented. The methods are applied to an octahedral wavelet …

A goal-based angular adaptivity method for thermal radiation modelling in non grey media

L Soucasse, S Dargaville, AG Buchan… - Journal of Quantitative …, 2017 - Elsevier
This paper investigates for the first time a goal-based angular adaptivity method for thermal
radiation transport, suitable for non grey media when the radiation field is coupled with an …

Angular adaptivity with spherical harmonics for Boltzmann transport

S Dargaville, AG Buchan… - Journal of …, 2019 - Elsevier
This paper describes an angular adaptivity algorithm for Boltzmann transport applications
which uses P n and filtered P n expansions, allowing for different expansion orders across …

Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects

S Dargaville, RP Smedley-Stevenson, PN Smith… - Journal of …, 2020 - Elsevier
Boltzmann transport problems often involve heavy streaming, where particles propagate
long distance due to the dominance of advection over particle interaction. If an insufficiently …

Solving the Boltzmann transport equation with multigrid and adaptive space/angle discretisations

S Dargaville, MA Goffin, AG Buchan, CC Pain… - Annals of Nuclear …, 2015 - Elsevier
This paper presents the current capabilities of the radiation transport solver within FETCH, a
coupled multi-physics code. The radiation transport component has been designed to solve …