Abstract
A new method for solving the two-dimensional diffusion critical problem in regular hexagonal geometry is described. Hexagonal nodes are connected through partial currents, which, for a single node are represented in form of irreducible symmetry components of the C6 group representation. The intranodal solutions are constructed from a special class of symmetric analytic solutions spanned on an exact spectrum of the multigroup problem. The method is implemented in the code SIXTUS-2 which is cheap, compact and very accurate tool for predicting criticality, flux and power distributions in various types of reactor cores with hexagonal geometry including LMFBRs and HTGRs.
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