%0 Journal Article
%T Three-dimensional solution of the forward and adjoint neutron diffusion equation using the generalized least squares finite element method
%J Radiation Physics and Engineering
%I K. N. Toosi University of Technology
%Z 2645-6397
%A Saadatian Derakhshandeh, Farahnaz
%D 2020
%\ 01/01/2020
%V 1
%N 1
%P 19-27
%! Three-dimensional solution of the forward and adjoint neutron diffusion equation using the generalized least squares finite element method
%K Neutron Diffusion Equation
%K Adjoint Flux
%K Generalized Least Squares
%K Finite Element Method
%R 10.22034/rpe.2020.57885
%X Numerical solution of the multi-group static forward and adjoint neutron diffusion equation (NDE) using the Finite Elements Method (FEM) is investigated in detail. A finite element approach based on the generalized least squares method is applied for the spatial discretization of the NDE in 3D-XYZ geometry. A computer code called GELES was also developed based on the described methodology covering linear or quadratic tetrahedral elements generated via the mesh generator for an arbitrary shaped system. A number of test cases are also studied to validate the proposed approach. Moreover, to assess the output dependency to the number of elements, a sensitivity analysis is carried out at the end.
%U http://rpe.kntu.ac.ir/article_57885_71a444fdd987dd8f87e77a18249cbddc.pdf