Comprehensive investigation of the Ronen method in slab geometry

Roy Gross, Johan Cufe, Daniele Tomatis, Erez Gilad

Research output: Contribution to journalArticlepeer-review


A comprehensive investigation of the Ronen method is performed in homogeneous and heterogeneous slab problems from the Sood benchmark, considering isotropic and linearly-anisotropic problems. Three finite differences implementations are exercised and compared. The results are compared to reference solutions using one and two energy groups. The validation is performed for the criticality eigenvalue and the fundamental neutron flux distribution. The results demonstrate the significantly improved accuracy achievable by the Ronen method using a broad set of problems. For standard convergence tolerances, the maximal deviation in criticality eigenvalue is less than ten pcm, and the maximal deviation in the spatial distribution of the flux is less than 2%, always located near sharp interfaces or vacuum boundaries.

Original languageEnglish
Pages (from-to)734-748
Number of pages15
JournalNuclear Engineering and Technology
Issue number2
StatePublished - 1 Feb 2023


  • Integral transport
  • Neutron diffusion
  • Non-linear transport correction
  • Ronen method
  • Sood benchmark

ASJC Scopus subject areas

  • Nuclear Energy and Engineering


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