$\delta$-process for acceleration of outer iterations in reactor problems

A new method "$\delta$-process" is proposed and justified for acceleration of outer iterations in reactor problems of the eigenvalue ($K_{eff}$) calculation in multigroup approximation. It is proved that $\delta$-process is asymptotically equivalent to the Newton’s method. To investigate the efficiency of this method the initial state of critical assembly BZD/1 in experiments “ZEBRA” is computed in approximation of the discrete ordinates method in X-Y-Z geometry with acceleration for the different value of parameter $\delta$ in the interval $(0,1)$. The best acceleration in 3 times is obtained in $S_8P_3$ approximation for the value $\delta=0.8$.