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Suppression of the initial transient in MonteCarlo criticality simulations

Yann RICHET, doctorate thesis of the Ecole Nationale Supérieure des Mines de Saint-Etienne, speciality Applied Maths, 138p., Defended on the 13th December 2006.

Document type > *Mémoire/HDR/Thesis

Keywords > criticality, computer code, criticality, Monte Carlo Code, neutronics

Research Unit > IRSN/DSU/SEC

Authors > RICHET Yann

Publication Date > 13/12/2006

Summary

Criticality Monte Carlo calculations aim at estimating the effective multiplication factor (k-effective) for a fissile system through iterations simulating neutrons propagation (making a Markov chain). Arbitrary initialization of the neutron population can deeply bias the k-effective estimation, defined as the mean of the k-effective computed at each iteration. A simplified model of this cycle k-effective sequence is built, based on characteristics of industrial criticality Monte Carlo calculations.
Statistical tests, inspired by Brownian bridge properties, are designed to discriminate stationarity of the cycle k-effective sequence. The initial detected transient is, then, suppressed in order to improve the estimation of the system k-effective.
The different versions of this methodology are detailed and compared, firstly on a plan of numerical tests fitted on criticality Monte Carlo calculations, and, secondly on real criticality calculations. Eventually, the best methodologies observed in these tests are selected and allow to improve industrial Monte Carlo criticality calculations.


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