TY - JOUR
ID - 151445
TI - Investigation of the use of momentum and Galerkin weighting functions in high-order Nodal expansion method to solve the neutron diffusion equation
JO - Radiation Physics and Engineering
JA - RPE
LA - en
SN - 2645-6397
AU - Kolali, Ali
AU - Naghavi Dizaji, ِDavod
AU - Vosoughi, Naser
AD - Department of Energy Engineering, Sharif University of Technology, P.O. Box 14565-1114, Tehran, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 3
SP - 39
EP - 45
KW - simulator
KW - Adjoint Calculation
KW - diffusion equation
KW - Rectangular Geometry
KW - Hexagonal Geometry
KW - HACNEM
DO - 10.22034/rpe.2022.337683.1078
N2 - In this study, after discretization of the neutron diffusion equation and adjoint with high-order nodal expansion method in two dimensions and two energy groups, calculations with Momentum and Galerkin weighting functions for rectangular geometry (BIBLIS-2D) and hexagonal geometry (IAEA-2D) reactors are performed. The mean of relative power error for Momentum and Galerkin weighting functions was calculated in BIBLIS-2D reactor 0.42% and 0.62%, respectively, and for IAEA-2D reactor 4.96% and 3.52%, respectively. Regarding the results, it was concluded that in order to increase accuracy with the acceptable time of computing (4 Seconds for rectangular geometry and 28 seconds for hexagonal geometry with Intel® Core™ i7-4510U Processor), the Momentum weighting function for rectangular geometry and the Galerkin weighting function for hexagonal geometry can be used to discretize equations without reducing the node size. Therefore, to increase the accuracy while maintaining the speed of calculations, without reducing the size of nodes, the appropriate weighting function can be used in discretization, which can be very useful in performing calculations of different transients.
UR - https://rpe.kntu.ac.ir/article_151445.html
L1 - https://rpe.kntu.ac.ir/article_151445_1741d4a167ea1b175ea67b78ff4a57f8.pdf
ER -