NODHEX: A 2-D diffusion code based on the nodal expansion method in hexagonal geometry and its validation

Abstract

A 2-D neutron diffusion theory computer code NODHEX for hexagonal geometry has been developed. The nodal algorithm is based on the nodal expansion method proposed by Lawrence. The nodal equation formulation is accomplished by using a second-order polynomial approximation for the flux. The equations include additional terms of discontinuity which occur in the expression of transverse leakage for the hexagonal geometry, unlike the nodal equations (using a second-order polynomial approximation) formulated by Lawrence. The code has been validated by comparing its predictions for the SNR-300 and VVER-1000 benchmarks with the results of other standard computer codes like DIF3D and SNAP. The inclusion of the additional terms of discontinuity is found to improve the predictions relative to Lawrence's predictions, though the same second-order polynomial approximation was used for solving the nodal equations.