Work

Technique for reducing time in the calculation of eigenvalues and eigenvectors applied in neutron transport fixed-source problems

Year: 2023

Type: article

Abstract: In this work, a mathematical technique to accelerate the eigenvalue calculations, originally proposed for the Analytical Discrete Ordinates method (ADO), is applied to the coarse-mesh method Modified Spectral Deterministic (MSD), used in neutron shielding problems (fixed-source) in one-dimensional geometry. This technique consists in an arrangement of the neutron transport equation which leads to a reduced eigenvalue calculation on the intranodal analytical solution, where only the positive half of the eigenvalues and its respective eigenvectors are calculated, hence reducing the methods execution time. Precision and performance tests were performed in 2 model-problems, reducing around 80% of the execution time. All the codes were developed using the programming language C++.

Source: VETOR - Revista de Ciências Exatas e Engenharias

DOI: 10.14295/vetor.v33i1.15155

Authors: Rafael Libotte, Hermes Alves Filho, Fernando Carvalho da Silva

Institutions: Universidade do Estado do Rio de Janeiro, Universidade Federal do Rio de Janeiro

Language: English

Topic: Nuclear reactor physics and engineering

Subfield: Nuclear Energy and Engineering

Field: Energy

Domain: Physical Sciences

Open Access status: diamond

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Award: G29316538