<  Back to the Polytechnique Montréal portal

Development of a Hybrid Deterministic-Stochastic Method for Full Core Neutronics

Seyed Rida Housseiny Milany

Ph.D. thesis (2017)

Open Access document in PolyPublie
Open Access to the full text of this document
Terms of Use: All rights reserved
Download (3MB)
Show abstract
Hide abstract


Research efforts in reactor physics focus on the improvement of current analysis methods for neutronics or development of advanced ones. Recently, there is a renewed interest in stochastic simulations due to their superior accuracy and the advances in computing platforms. In particular, there is an interest in the development of hybrid stochastic deterministic methods for accelerating the inactive cycles of Monte Carlo. However, such hybrid approaches are not very efficient as the inactive cycle constitute a very small portion of the simulation. In this work, a novel hybrid method is developed and discussed. The approach combines conventional Monte Carlo with deterministic flux mapping to reduce computational costs of full core simulations. The main contributors to the computational expenses of Monte Carlo is the number of tallies scored and the number of neutron histories tracked. In the proposed hybrid method, the Monte Carlo simulation is performed with a small number of neutron histories while maintaining good confidence and scoring flux tallies on a coarse mesh. Then,the dominant modes of the transport equation and flux mapping are employed to reconstruct the neutron flux and reaction rates on a finer mesh. Application to a number of example problems show that the studied hybrid method can achieve up to 90% reduction in the computational time compared to conventional Monte Carlo while maintaining comparable accuracy.


de l'étude de l'équation de transport et de l'approximation des probabilités de collision est présenté. En plus de la solution du mode fondamental décrivant la répartition asymptotique du flux neutronique, l'équation de transport suppose un grand nombre de solutions qui peuvent être très utiles dans les études de la perturbation, la cartographie et la synthèse des flux neutroniques.

Department: Department of Engineering Physics
Program: Génie nucléaire
Academic/Research Directors: Guy Marleau
PolyPublie URL: https://publications.polymtl.ca/2499/
Institution: École Polytechnique de Montréal
Date Deposited: 13 Jun 2017 11:38
Last Modified: 07 Apr 2024 19:50
Cite in APA 7: Housseiny Milany, S. R. (2017). Development of a Hybrid Deterministic-Stochastic Method for Full Core Neutronics [Ph.D. thesis, École Polytechnique de Montréal]. PolyPublie. https://publications.polymtl.ca/2499/


Total downloads

Downloads per month in the last year

Origin of downloads

Repository Staff Only

View Item View Item