TY - JOUR ID - 57885 TI - Three-dimensional solution of the forward and adjoint neutron diffusion equation using the generalized least squares finite element method JO - Radiation Physics and Engineering JA - RPE LA - en SN - 2645-6397 AU - Saadatian Derakhshandeh, ‎Farahnaz AD - MASNA engineering company‎, ‎P.O‎. ‎Box 1439951113‎, ‎Tehran‎, ‎Iran Y1 - 2020 PY - 2020 VL - 1 IS - 1 SP - 19 EP - 27 KW - ‎Neutron Diffusion Equation KW - ‎Adjoint Flux KW - ‎Generalized Least Squares KW - ‎Finite Element Method DO - 10.22034/rpe.2020.57885 N2 - ‎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. UR - https://rpe.kntu.ac.ir/article_57885.html L1 - https://rpe.kntu.ac.ir/article_57885_71a444fdd987dd8f87e77a18249cbddc.pdf ER -