Multi-group lattice Boltzmann method for criticality problems

In this paper, Lattice Boltzmann methodology (LBM) has been developed for the criticality search for the nuclear reactor systems. It is noted that the LBM has not been used for criticality calculations in optically thin (mean free path of neutrons close to system dimensions) and highly anisotropic systems. In order to solve such problems the number of angular directions need to be increased. Various criticality benchmarks with one group and multi-group cross-section including both isotropic and anisotropic scattering have been solved. The solution of these 1D benchmark problems not only verifies the solution methodology, but also demonstrates that multiplication factor of the critical systems having dimension close to mean free path of neutron travel can also be accurately predicted using higher angular discretization. Since LBM approach is relatively simple in implementation it can be effectively used and has a potential to provide easy and convenient solution of neutron transport equation. (C) 2019 Elsevier Ltd. All rights reserved.