Extreme value analysis of bounded amplification in random media criticality analysis

Ueki, Taro  

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.