A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation

Cromianski, S.R.; Rui, Karine; Barichello, Liliane Basso

doi:10.1016/j.pnucene.2018.09.006

Cited by 6 publications

(1 citation statement)

References 19 publications

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“…Em esquemas nodais, abordagens distintas têm sido utilizadas para representar incógnitas que resultam do processo de integração, neste caso representando fluxos desconhecidos nos contornos do domínio ou nas interfaces dos nós. Diferentes aproximações foram investigadas, em associação com este método (Prolo Filho e Cromianski et al, 2019) para tais termos. Neste trabalho utilizamos a aproximação constante.…”

Section: Modelos De Transporte De Partículas Neutras Em Geometria Bidimensionalunclassified

Formulações espectrais para solução de problemas de transporte de partículas

Barichello

Fortes

Picoloto

et al. 2020

CeN

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In this work, a deterministic approach to the solution of the integro differential linear Boltzmann equation, in one and twodimensional media, is presented. Explicit solutions, in terms of the spatial variables, for the discrete ordinates approximation of the original model are obtained from a spectral formulation. A relevant feature of the methodology is the reduced order of the eigenvalue problems, which is given as half of the number of the discrete directions. Such aspect, along with the use of arbitrary quadrature schemes to represent the integral term of the equation, are fundamental to provide fast, concise and accurate solutions to several problems of interest. In particular, the solutions here are derived for models associated with two different applications: rarefied gas dynamics and neutron transport. Mathematical aspects present in the solution of the two models are emphasized and extensions of the formulation to other applications are commented and referenced.

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Section: Modelos De Transporte De Partículas Neutras Em Geometria Bidimensionalunclassified