Using the Monte Carlo method to solve the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions


R. Maleki B.

Nuclear Engineering and Technology, vol.55, no.1, pp.324-329, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1016/j.net.2022.09.024
  • Journal Name: Nuclear Engineering and Technology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Page Numbers: pp.324-329
  • Keywords: Albedo, Monte Carlo, Strongly anisotropic scattering, Transmission factor, Variance reduction
  • Hacettepe University Affiliated: Yes

Abstract

© 2022 Korean Nuclear SocietyDifferent types of deterministic solution methods were used to solve neutron transport equations corresponding to half-space and slab albedo problems. In these types of solution methods, in addition to the error of the numerical solutions, the obtained results contain truncation and discretization errors. In the present work, a non-analog Monte Carlo method is provided to simulate the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions. For each scattering function, the sampling method of the direction of the scattered neutrons is presented. The effects of different beams with different angular dependencies and the effects of different scattering parameters on the reflection probability are investigated using the developed Monte Carlo method. The validity of the Monte Carlo method is also confirmed through the comparison with the published data.