TY - JOUR
T1 - Variable coefficient depletion equations – Efficient calculation method
AU - Huang, Kai
AU - Cao, Liangzhi
AU - Wu, Hongchun
AU - Fu, Xuedong
AU - Ying, Yangjun
AU - Zhu, Shengdong
N1 - Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2020/6/1
Y1 - 2020/6/1
N2 - Neutron flux field changes in terms of intensity and spectrum from time to time in nuclear reactors. Considering this effect more faithfully, high order neutronic-depletion coupling strategies were shown to be advantageous over traditional ones. While the variable coefficient depletion equations rather than the constant ones are meant to be solved. Through exploiting characteristics of depletion problems, a two-stage method that combines Chebyshev Rational Approximation Method (CRAM) and Gauss-Legendre Method is proposed, and its implementation details are tuned to overcome the method discontinuity problem. At the same time, the regular coefficient averaging sub-step division scheme is optimized by taking advantage of the fading behavior of sub-step errors. Test problems with varying properties are formulated and calculated. Numerical results showed that the sub-step division optimization could improve calculation efficiency for about one order of magnitude, meanwhile the two-stage method offers additionally 2–10 times of efficiency gain.
AB - Neutron flux field changes in terms of intensity and spectrum from time to time in nuclear reactors. Considering this effect more faithfully, high order neutronic-depletion coupling strategies were shown to be advantageous over traditional ones. While the variable coefficient depletion equations rather than the constant ones are meant to be solved. Through exploiting characteristics of depletion problems, a two-stage method that combines Chebyshev Rational Approximation Method (CRAM) and Gauss-Legendre Method is proposed, and its implementation details are tuned to overcome the method discontinuity problem. At the same time, the regular coefficient averaging sub-step division scheme is optimized by taking advantage of the fading behavior of sub-step errors. Test problems with varying properties are formulated and calculated. Numerical results showed that the sub-step division optimization could improve calculation efficiency for about one order of magnitude, meanwhile the two-stage method offers additionally 2–10 times of efficiency gain.
KW - Depletion calculation
KW - Implicit Runge-Kutta
KW - Rational approximation methods
KW - Sub-step errors
KW - Two-stage method
KW - Variable coefficient
UR - https://www.scopus.com/pages/publications/85073531853
U2 - 10.1016/j.anucene.2019.107100
DO - 10.1016/j.anucene.2019.107100
M3 - 文章
AN - SCOPUS:85073531853
SN - 0306-4549
VL - 140
JO - Annals of Nuclear Energy
JF - Annals of Nuclear Energy
M1 - 107100
ER -