Solution of the Spatial Kinetic Equations Using the Expansion in Pseudo-Harmonics: cases 1d and 2d

• Autor(a) principal: LIMA, Zelmo Rodrigues de
• Data de Publicação: 2016
• Outros Autores: MOREIRA, Maria de Lourdes, SILVA, Fernando Carvalho da, ALVIM, Antonio Carlos Marques, [e-mail], [e-mail]
• Tipo de documento: Artigo de conferência
• Idioma: eng
• Título da fonte: Repositório Institucional do IEN
• Texto Completo: http://carpedien.ien.gov.br:8080/handle/ien/1722
• topic: Fixed Source; Spatial Kinetic; Pseudo-Harmonics

Recently was demonstrated that the steady-state fixed source problems, usually represented by a non homogeneous linear system of equations, can be solved by the method of the pseudo-harmonics. The method of the pseudo-harmonics is based on the eigenfunctions associated with the leakage and removal matrix operator of the neutron diffusion equation. In this case the fixed source problem was solved considering that the neutron flux can be expanded in these eigenfunctions. The method of the pseudo-harmonics was just summarized in the determination of the coefficients of the expansion of the neutron flux, substituting like this an scheme of numeric inversion of the matrix of the linear system, usually employee in this problem type. The present work has as objective of study the possibility of to apply the method of the pseudo-harmonic in the solution of the linear system, which appears starting from the discretization of the equations of the spatial kinetic. For so much the same basic idea used in the solution of the fixed source problem was adopted now for the spatial kinetic. The method was tested for the cases 1D and 2D, formulated to leave of the discretization in finite differences of the kinetic spatial equations. The method showed good results when compared with the direct method.