Desenvolvimento de um método numérico de matriz resposta linear para cálculos bidimensionais em geometria cartesiana de transporte de nêutrons na formulação de ordenadas discretas

Abstract

In this thesis, the Response Matrix - Linear Linear Nodal (RM-LLN) method is presented to numerically solve fixed source neutron transport problems with isotropic scattering, one energy group and discrete ordinates approximation in rectangular Cartesian geometry. The RM-LLN method is based on the spectral analysis of the transverse integrated SN nodal equations, in which the scattering terms are treated analytically and the leakage terms are approximated by first-order Legendre polynomials. A web application has been developed as a computational tool that implements the RM-LLN method and facilitates the analysis of numerical results generated for different problems. The application is based on the client - server - database architecture and can be accessed from any device with an internet connection. Numerical results demonstrate the high performance of the RM-LLN method in terms of accuracy and computational cost when compared to other methods reported in the literature.