Pu239 Cross-Section Variations Based on Experimental Uncertainties and Covariances

[摘要] Algorithms and software have been developed for producing variations in plutonium 239 neutron cross sections based on experimental uncertainties and covariances. The varied cross- section sets may be produced as random samples from the multi- variate normal distribution defined by an experimental mean vector and covariance matrix, or they may be produced as Latin- Hypercube/Orthogonal-Array samples (based on the same means and covariances) for use in parametrized studies. The variations obey two classes of constraints that are obligatory for cross-section sets and which put related constraints on the mean vector and covariance matrix that detemine the sampling. Because the experimental means and covariances do not obey some of these constraints to sufficient precision, imposing the constraints requires modifying the experimental mean vector and covariance matrix. Modification is done with an algorithm based on linear algebra that minimizes changes to the means and covariances while insuring that the operations that impose the different constraints do not conflict with each other.

[发布日期] 2016-10-18

[学科分类] 数学（综合）