Método espectro-nodal linear para problemas de transporte de nêutrons na formulação de ordenadas discretas em geometria bidimensional cartesiana

• Autor(a) principal: Dominguez, Dany Sanchez
• Data de Publicação: 2006
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UERJ
• Texto Completo: http://www.bdtd.uerj.br/handle/1/13666
• topic: Transport equation; Discrete ordinates; Nodal methods; Deep penetration problems; Equação de transporte; Ordenadas discretas; Métodos nodais; Problemas de penetração profunda; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DAS PARTICULAS ELEMENTARES E CAMPOS

In this dissertation we present the Spectral Green s Function - Linear Nodal method (SGF-LN) for numerically solving one-speed deep penetration problems in the static discrete ordinates (SN) formulation with isotropic scattering, in X, Y Cartesian geometry. This method is based on a spectral analysis of the transverse integrated SN nodal equations, wherein the scattering terms are analytically treated, and only the transverse leakage terms are approximated by first degree polynomials. We solve the SGF-LN equations using fully nodal block inversions, that we refer to as the blinking iterative scheme (BIS), where the node exiting quantities in all angular directions are estimated as a function of all the node ingoing quantities and interior source. Numerical results are presented to illustrate the accuracy and the computational efficiency of the SGF-LN method.