High-accuracy neutron diffusion calculations based on integral transport theory

Roy Gross, Daniele Tomatis, Erez Gilad

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this paper, the Ronen method is developed, implemented, and applied to resolve the neutron flux and the criticality eigenvalue in simple one-dimensional homogeneous and heterogeneous problems. The Ronen method is based on iterative calculations of correction factors to use in a multigroup diffusion model, where the factors are actually given by the integral transport equation. In particular, spatially dependent diffusion constants are modified locally in order to reproduce new estimates of the surface currents obtained by the integral transport operator. The diffusion solver employed in this study uses finite differences, and the transport-corrected currents are introduced into the numerical scheme as drift terms. The corrected solutions are compared against reference results from a discrete ordinate code. The results match well with the reference solutions, especially in the limit of fine meshes, but slow convergence of the scalar flux is reported.

Original languageEnglish
Article number235
JournalEuropean Physical Journal Plus
Issue number2
StatePublished - 1 Feb 2020

ASJC Scopus subject areas

  • General Physics and Astronomy


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