Equations for a Heterogeneous Reactor with Effective Conditions on the Axial Boundaries of the Core

Abstract

The equations of a heterogeneous reactor with effective conditions at the core boundary and end reflectors are derived. The numerical solution of these equations gives significant reduction of the axial harmonics and the computational time for calculation of reactors with a large spike in the thermal neutron flux in the end reflectors. The efficacy of the method is illustrated by an example of a calculation of a reactor with an intermediate neutron spectrum.