An Adjoint Technique Applied to Slab-Geometry Source-Detector Problems Using the Generalized Spectral Green's Function Nodal Method

JP Curbelo, OP da Silva, RC Barros - Journal of Computational …, 2018 - Taylor & Francis
Presented here is the application of an adjoint technique for solving source-detector discrete
ordinates (SN) transport problems by using a spectral nodal method. For slab-geometry …

A hybrid spectral nodal method for multigroup X, Y-geometry discrete ordinates eigenvalue problems

DJM Silva, H Alves Filho, RC Barros - Progress in Nuclear Energy, 2017 - Elsevier
A hybrid spectral nodal method is developed for the solution of multigroup discrete ordinates
(SN) eigenvalue problems with isotropic scattering in X, Y geometry. In this method, the …

A response matrix method for slab-geometry discrete ordinates adjoint calculations in energy-dependent neutral particle transport

LRC Moraes, RS Mansur, CA Moura… - … of Computational and …, 2021 - Taylor & Francis
Presented here is an application of the Response Matrix (RM†) method for adjoint discrete
ordinates (SN) problems in slab-geometry applied to energy-dependent neutral particle …

Closed-form solutions for nodal formulations of two dimensional transport problems in heterogeneous media

CB Picoloto, A Tres, RD da Cunha… - Annals of Nuclear Energy, 2015 - Elsevier
We present a study of two dimensional, fixed-source neutron transport problems on a
heterogeneous medium. It is an extension of a methodology used for solving neutron …

Shifting strategy in the spectral analysis for the spectral Green's function nodal method for slab-geometry adjoint transport problems in the discrete ordinates …

JP Curbelo, OP da Silva, CR García… - Integral Methods in …, 2017 - Springer
We present the positive features in the shifting strategy that we use in the homogeneous
component of the general solution of the monoenergetic, slab-geometry, adjoint discrete …

On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle SN Source–Detector Problems in Slab Geometry

JP Curbelo, OP da Silva, RC Barros - Journal of Computational …, 2021 - Taylor & Francis
A generalization of the Response Matrix spectral nodal method is applied to fixed–source
discrete ordinates (SN) radiative transfer and neutron transport problems in slab geometry …

The Extended Diamond Difference-Constant Nodal Method with Decoupled Cell Iteration Scheme in Two-Dimensional Discrete Ordinate Transport Problems

IB Rivas Ortiz, D Sanchez Dominguez… - … of Computational and …, 2024 - Taylor & Francis
Analytical solutions for the Boltzmann transport equation are typically limited to specific
scenarios, prompting the research transport community to extensively explore numerical …

On the spectrum of discrete-ordinates neutron transport problems

JP Curbelo - Brazilian Journal of Radiation Sciences, 2021 - bjrs.org.br
Over the last six decades, the discrete spectrum of the neutron transport operator has been
widely studied. Important theoretical results can be found in the literature regarding the one …

A response matrix method for one-speed slab-geometry discrete ordinates adjoint calculations in source-detector problems

RS Mansur, OP Silva, CA Moura… - Journal of Computational …, 2016 - Taylor & Francis
Presented here is an application of the one-speed Response Matrix (RM) method for adjoint
discrete ordinates (SN) problems in slab geometry applied to source-detector problems. The …

The modified spectral deterministic method applied to fixed–source discrete ordinates problems in X, Y–geometry

JP Curbelo, RB Libotte, AM Oliva, RC Barros… - Brazilian Journal of …, 2020 - bjrs.org.br
A new approach for the application of the coarse–mesh Modified Spectral Deterministic
method to numerically solve the two–dimensional neutron transport equation in the discrete …