Kl. Thomsen, INVESTIGATION OF INTERFACE-CURRENT SOLUTION TECHNIQUES FOR COUPLED HETEROGENEOUS CELLS, Nuclear science and engineering, 119(3), 1995, pp. 167-174
The coupled collision probability and interface-current equations in t
he flat-flux, isotropic approximation are implemented in a light water
reactor (LWR) lattice code that is under development. By using tradit
ional Gaussian elimination of the subregion fluxes of the cells, the i
nterface-current equations are turned into a nodal form. In the transf
ormed flux and current equations, expressed in terms of response matri
x theory, the coefficients become multiple-flight probabilities, which
obey analogous conservation and reciprocity relations as the first-fl
ight probabilities. The convergence of the iterative solution for the
interface currents is accelerated by successive overrelaxation (SOR) a
nd global rebalancing techniques. The improvement of the convergence r
ate is investigated in a series of test calculations. The optimal stra
tegy is found to be alternation between one SOR iteration and three to
four free iterations while the rebalancing should be limited to two i
nitial iterations in normal LWR cases.