Application of the ADO method on disadvantage-factor calculation for heterogeneous slab cells considering linear anisotropic scattering effects

Autores

  • João Francisco Prolo Filho Universidade Federal do Rio Grande - FURG Instituto de Matemática, Estatística e Física - IMEF Av. Itália, km 8, Bairro Carreiros, Rio Grande, RS CEP: 96.203-900
  • Marco Paulsen Rodrigues Universidade Federal do Rio Grande - FURG

DOI:

https://doi.org/10.14808/sci.plena.2017.049905

Palavras-chave:

heterogeneous medium, anisotropic scattering, one-dimensional transport equation

Resumo

In this work, the disadvantage-factor calculation is performed by a version of the Analytical Discrete Ordinates method (ADO method). For this, a class of one-dimenisional neutron transport problems in Cartesian geometry, with linearly anisotropic scattering effects in layered heterogeneous media, will be considered. The process consists in applying the angular discretization SN, converting the integro-differential transport equation into an ordinary differential equations system, which homogeneous solution is obtained by a quadratic eigenvalues problem with reduced order. To establish a closed form solution for this class of problems, particular solutions in terms of constants are used, as well as reflective boundary conditions and interface conditions. In order to validate the code, the method and to provide benchmark results, a class of two-layered problems is treated. A brief discussion on the influence of anisotropy is made and numerical aspects are discussed.

Biografia do Autor

João Francisco Prolo Filho, Universidade Federal do Rio Grande - FURG Instituto de Matemática, Estatística e Física - IMEF Av. Itália, km 8, Bairro Carreiros, Rio Grande, RS CEP: 96.203-900

http://lattes.cnpq.br/6332361048614535

Marco Paulsen Rodrigues, Universidade Federal do Rio Grande - FURG

http://lattes.cnpq.br/1657793408006932

Downloads

Publicado

2017-07-26

Como Citar

Prolo Filho, J. F., & Rodrigues, M. P. (2017). Application of the ADO method on disadvantage-factor calculation for heterogeneous slab cells considering linear anisotropic scattering effects. Scientia Plena, 13(4). https://doi.org/10.14808/sci.plena.2017.049905

Edição

Seção

VII Conferência Sul em Modelagem Computacional