Abstract

Most computations carried out using the interface current technique make use of the double P0 (DP0) approximation where it is assumed that the neutron current impinging on, or leaving, an external surface associated with a given region has a cosine distribution. A better approximation (the so-called double P1 approximation) consists in assuming an anisotropic flux distribution on external surfaces. This higher order approximation implies that new directional probabilities associated with the anisotropic components of the neutron currents must be computed. Here we propose to compute the double P1 (DP1) transmission probabilities associated with one-dimensional spherical and cylindrical geometries and to use these probabilities to solve the interface current equations. Our analysis will include a comparison of the DP0 and DP1 interface current approximations with the complete collision probabilities method for homogeneous and heterogeneous assemblies.

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