Recent studies on the asymptotic convergence of the spatial discretization for two-dimensional discrete ordinates solutions

LB Barichello, A Tres, CB Picoloto… - Journal of Computational …, 2016 - Taylor & Francis
In this work, four types of quadrature schemes are used to define discrete directions in the
solution of a two-dimensional fixed-source discrete ordinates problem in Cartesian …

[PDF][PDF] Discontinuous Galerkin methods for the linear Boltzmann transport equation

T Radley - 2023 - core.ac.uk
Radiation transport is an area of applied physics that is concerned with the propagation and
distribution of radiative particle species such as photons and electrons within a material …

Stability analysis of a deterministic dose calculation for MRI-guided radiotherapy

O Zelyak, BG Fallone, J St-Aubin - Physics in Medicine & Biology, 2017 - iopscience.iop.org
Modern effort in radiotherapy to address the challenges of tumor localization and motion has
led to the development of MRI guided radiotherapy technologies. Accurate dose calculations …

Análise de esquemas de aproximações angulares para a equação de transporte bidimensional em ordenadas discretas via formulações nodais

A Tres - 2015 - lume.ufrgs.br
Neste trabalho é feito um estudo sobre a discretização angular da equa-ção bidimensional
de transporte de nêutrons e os erros de truncamento associados, decorrentes da …

Efficient high-order space-angle-energy polytopic discontinuous Galerkin finite element methods for linear Boltzmann transport

P Houston, ME Hubbard, TJ Radley, OJ Sutton… - Journal of Scientific …, 2024 - Springer
We introduce an hp-version discontinuous Galerkin finite element method (DGFEM) for the
linear Boltzmann transport problem. A key feature of this new method is that, while offering …

[图书][B] Advanced Quadrature Selection for Monte Carlo Variance Reduction

KL Rowland - 2018 - search.proquest.com
Neutral particle radiation transport simulations are critical for radiation shielding and deep
penetration applications. Arriving at a solution for a given response of interest can be …

[图书][B] Discrete ordinates CT organ dose simulator (DOCTORS)

ET Norris - 2017 - search.proquest.com
Computed tomography (CT) has become pervasive in medical diagnostics as improved
imaging techniques and processing algorithms provide higher quality information to doctors …

Assessment of the Lagrange Discrete Ordinates Equations for Three-Dimensional Neutron Transport

KL Rowland, CD Ahrens, S Hamilton… - Nuclear Science and …, 2019 - Taylor & Francis
Abstract The Lagrange Discrete Ordinates (LDO) equations, developed by Ahrens as an
alternative to the traditional discrete ordinates formulation, have been implemented in …

[PDF][PDF] Error due to angular discretization in the discrete ordinates approximation of the transport equation in two-dimensional cartesian geometry

X Hu, YY Azmy, CB Picoloto, A Tres… - Physics of Reactors …, 2016 - researchgate.net
Asymptotic convergence of the solution to the discrete ordinates approximation of the
neutron transport equation with increasing quadrature order is examined. Four angular …

[PDF][PDF] Линейное уравнение Больцмана: приближение, методы численного решения прямых задач и задач оптимизации, обобщение

СА Руколайне - 2019 - keldysh.ru
Актуальность. Линейное кинетическое уравнение Больцмана, называемое также
нестационарным уравнением переноса излучения или уравнением переноса …