Application of the method of partial factorization in the three-dimensional problem of the WWER type reactor neutron-physical calculation

The paper presents an algorithm of partial factorization method (PFM) for solving a set of finite-difference equations for the reactor neutron-physical calculations in the hex-Z-geometry in the one-group diffusion approximations. The method of h-factorization efficiently suppressing smooth error components is used for the stationary problem. When calculating spatial kinetics in the prompt jump approximation there can be no conditions of diagonal predominance for the h-factorization use. In this case the PFM is used without any compensation of terms being iterated, and to accelerate the iteration process convergence the sequence of z-varied networks is applied. In each z-layer a seven-point operator is reversed according to the modified Zedan method. 7 refs.; 3 tabs