Citation: Shamanin IV, Bedenko SV, Nesterov VN, Lutsik IO, Prets AA (2018) Solution of neutron-transport multigroup equations system in subcritical systems. Nuclear Energy and Technology 4(1): 79-85. https://doi.
AbstractAn iteration method has been implemented to solve a neutron transport equation in a multigroup diffusion approximation. A thermoelectric generator containing plutonium dioxide, used as a source of thermal and electric power in spacecraft, was studied.Neutron yield and multigroup diffusion approximation data was used to obtain a continuous and group distribution of neutron flux density spectra in a subcritical multiplying system. Numerical multigroup approaches were employed using BNAB-78, a system of group constants, and other available evaluated nuclear data libraries (ROSFOND, BROND, BNAB, EXFOR and ENDSF).The functions of neutron distribution in the zero iteration for the system of multigroup equations were obtained by approximating an extensive list of calculated and experimental data offered by the EXFOR and ENDSF nuclear data libraries. The required neutronic functionals were obtained by solving a neutron transport equation in a 28-group diffusion approximation. The calculated data was verified. The approach used is more efficient in terms of computational efforts (the values of the neutron flux density fractions converge in the third iteration). The implemented technique can be used in nuclear and radiation safety problems.
KeywordsSubcritical system, neutron distribution function, neutron transport, multigroup diffusion approximation.
Research statusNeutron transport calculation methods are used in reactor physics, for process monitoring during nuclear fuel fabrication and reprocessing, to determine the irradiated fuel burnup, in biological shielding design, and to improve the radiation measurement procedures in the nuclear material accounting and control system.There are a lot of dedicated programs and codes that implement the Monte Carlo method based on selection of neutron interaction probabilities. The internationally recognized program packages include MMKKENO and MMKC (IPPE, Russia), MCU (Kurchatov Institute, Russia), MCNP (USA), KENO-3D (USA), MONK (Great Britain) and others. These programs make it possible to obtain highly accurate results thanks to a 3D geometry