TY - GEN
T1 - Generalized equivalence theory for multi-scale equivalence in assembly transport calculations
AU - Giudicelli, Guillaume
AU - Smith, Kord
AU - Forget, Benoit
N1 - Publisher Copyright:
© 2018 PHYSOR 2018. All rights reserved.
PY - 2018
Y1 - 2018
N2 - A recent hybrid stochastic-deterministic calculation scheme uses Monte Carlo tallied group cross sections in a deterministic solver. However, group cross-sections condensed with the scalar flux instead of the angular flux induce large self-shielding errors in resonance groups, thus causing a potentially large reactivity bias (up to 300 pcm in LWRs). We introduce a novel equivalence method based on jump conditions on angular fluxes and use it in a two scale assembly transport calculation: cross sections are tallied at the assembly level, while equivalence parameters are computed in a pin-cell. This approach achieves near preservation of reaction rates at minimal tallying costs.
AB - A recent hybrid stochastic-deterministic calculation scheme uses Monte Carlo tallied group cross sections in a deterministic solver. However, group cross-sections condensed with the scalar flux instead of the angular flux induce large self-shielding errors in resonance groups, thus causing a potentially large reactivity bias (up to 300 pcm in LWRs). We introduce a novel equivalence method based on jump conditions on angular fluxes and use it in a two scale assembly transport calculation: cross sections are tallied at the assembly level, while equivalence parameters are computed in a pin-cell. This approach achieves near preservation of reaction rates at minimal tallying costs.
KW - Discontinuity factors
KW - Equivalence
KW - Jump conditions
UR - https://www.scopus.com/pages/publications/85106185211
M3 - Conference contribution
AN - SCOPUS:85106185211
T3 - International Conference on Physics of Reactors, PHYSOR 2018: Reactor Physics Paving the Way Towards More Efficient Systems
SP - 421
EP - 432
BT - International Conference on Physics of Reactors, PHYSOR 2018
PB - Sociedad Nuclear Mexicana, A.C.
T2 - 2018 International Conference on Physics of Reactors: Reactor Physics Paving the Way Towards More Efficient Systems, PHYSOR 2018
Y2 - 22 April 2018 through 26 April 2018
ER -