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 …

Dynamic mode decomposition coupled with multilevel octree grid algorithm for large-scale discrete ordinates neutron transport calculations

J Wang, B Zhang, S Yang, Y Chen - Progress in Nuclear Energy, 2024 - Elsevier
Large-scale discrete ordinates neutron transport calculations are known to be excessively
slow due to the large number of grids that need to be solved and the limitations of the source …

Solution of the Lambda modes problem of a nuclear power reactor using an h–p finite element method

A Vidal-Ferrandiz, R Fayez, D Ginestar… - Annals of Nuclear Energy, 2014 - Elsevier
Lambda modes of a nuclear power reactor have interest in reactor physics since they have
been used to develop modal methods and to study BWR reactor instabilities. An h–p …

Multilevel mesh adaptivity for discrete ordinates transport calculation with spatial-moment-ratio indicators

C Liu, J Wei, J Li, Z Sheng, B Zhang, S Tan - Annals of Nuclear Energy, 2022 - Elsevier
It is difficult to control discretization errors and reduce computational cost at the same time
for multi-scale neutron transport problems, and the adaptive mesh refinement technique is …

A 3-D finite element few-group diffusion code and its application to generation IV reactor concepts

A Seubert - EPJ Web of Conferences, 2021 - epj-conferences.org
In this paper, a recently developed 3-d few-group finite element-based diffusion code is de-
scribed. Its geometrical flexibility allows future modeling of complex and irregular geometries …

An efficient space-angle subgrid scale discretisation of the neutron transport equation

AG Buchan, CC Pain - Annals of Nuclear Energy, 2016 - Elsevier
This article presents a new efficient space-angle subgrid scale formulation (SGS) for the
space-angle phase-space discretisation of the Boltzmann transport equation (BTE). It …

Optimised Adjoint Sensitivity Analysis Using Adjoint Guided Mesh Adaptivity Applied to Neutron Detector Response Calculations

AG Buchan, DG Cacuci, S Dargaville, CC Pain - Energies, 2022 - mdpi.com
This article presents a new approach for the efficient calculation of sensitivities in radiation
dose estimates, subject to imprecisely known nuclear material cross-section data. The …

[PDF][PDF] Goal-based adaptive methods applied to the spatial and angular dimensions of the transport equation

M Goffin - 2015 - core.ac.uk
This thesis contains research into adaptive methods for the spatial and angular dimensions
of the neutral particle transport equation. Adaptive methods have been developed for two …

Development of a finite element method for neutron transport equation approximations

A Vidal Ferràndiz - 2018 - riunet.upv.es
The neutron transport equation describes the neutron population and the nuclear reactions
inside a nuclear reactor core. First, this equation is introduced and its assumptions are …

A combined immersed body and adaptive mesh method for simulating neutron transport within complex structures

AG Buchan, S Dargaville, CC Pain - Annals of Nuclear Energy, 2019 - Elsevier
This article describes a new adaptive immersed body method for the efficient and accurate
modelling of neutron transport within geometrically complex domains. It combines two …