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Journal Articles

Random media criticality analysis methods in Monte Carlo solver Solomon

Ueki, Taro

Proceedings of 12th International Conference on Nuclear Criticality Safety (ICNC2023) (Internet), 9 Pages, 2023/10

A Monte Carlo Solver Solomon has been under development as an object-oriented code written in the C++14 standards. It consists of regular capabilities of criticality safety analysis and a special capability of random media criticality. In the latter capability, Solomon is equipped with a class for the random media modeled by the incomplete randomized Weierstrass function (IRWF). By this modeling, the uncertainty of random media criticality can be evaluated by executing criticality calculations over many IRWF-replicas. However, it is impossible to know beforehand how many IRWF-replicas should be computed. To deal with this issue, a bounded amplification (BA) technique has been newly equipped in Solomon. Applying BA to IRWF, it is possible to reduce the number of IRWF-replicas by more than 95% in terms of the upper limit estimation of neutron effective multiplication factor. Solomon is also equipped with a voxel-overlay (VO). This functionality is shown to be valuable for evaluating the resonance self-shielding effect.

Oral presentation

Extreme value analysis of bounded amplification in random media criticality analysis

Ueki, Taro

no journal, , 

A Solomon Monte Carlo solver has been under development. One of its missions is to establish a random media criticality analysis method for fuel debris criticality safety. To this end, random media replicas are generated on which the delta tracking Monte Carlo particle transport is implemented. This excerpt reports the application of a bounded amplification (BA) technique to the random media modeled by the incomplete randomized Weierstrass function (IRWF). The generalized extreme value analysis of effective multiplication factor (keff) over IRWF replicas shows that the extreme value statistics follows the Weibull distribution whose upper limit is effectively bounded by the largest realization of keff over BA-applied IRWF replicas.

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