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 - http://rpe.kntu.ac.ir/article_57885.html
L1 - http://rpe.kntu.ac.ir/article_57885_71a444fdd987dd8f87e77a18249cbddc.pdf
ER -