Abstract
Despite significant progress in the solution of Neutron Transport Equation (NTE) using Lattice Boltzmann Method (LBM), it suffers from the ray effect a problem similar to SN methods. The ray effect is prominent in the problems where source is localized and medium has low scattering cross-section. Due to ray effect spatial distortion in the scalar flux and angular flux is observed. This effect arises because NTE is solved in discrete directions, allowing neutrons to travel only in a few directions. Therefore, first collision source (FCS) method is applied for SN method. Presently, FCS method is applied to LBM and result are obtained for two-dimensional source problems. It is observed that by applying FCS to LBM, ray effect is mitigated. Compared to SN method, LBM approach is relatively simple in implementation and can be effectively used. Therefore, it has potential to provide easy and convenient solution of neutron transport equation.
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