Development and verification of three-dimensional Hex-Z burnup sensitivity solver based on generalized perturbation theory

Yokoyama, Kenji   

A burnup sensitivity analysis solver based on generalized perturbation theory has been developed in a multi-purpose analysis framework MARBLE. The new solver has capability to calculate sensitivity coefficients based on the diffusion theory for transmuted nuclear fuel composition after burnup, i.e. atomic number density, with respect to nuclear data not only in 2-dimensional R-Z model but also in 3-dimensional Hexagonal-Z model. In the present paper, a new numerical verification method named component-wise direct calculation is proposed to check the results of each term. A numerical experiment of the new verification method was performed, and it shows that the new verification method is valid. In addition, a sample application result is shown in order to evaluate calculation model effects due to difference between 2- and 3-dimensional models.