Utilization of Discontinuity Factor in Integrodifferential Type of Boltzmann Transport Equation

Abstract

An approach incorporating the discontinuity factor in transport calculations based on the integrodifferential transport equation, e.g., the discrete ordinates method, the method of characteristics, and the Monte Carlo method, is proposed. In the present approach, the effect of the discontinuity factor is incorporated by correcting cross sections (absorption, production, and scattering cross sections are divided by the discontinuity factor), and the anisotropic scattering cross sections of odd order are corrected with the discontinuity factor and the total cross section. The validity of the present method is confirmed through simple benchmark calculations using the method of characteristics. The present method would be a candidate for a mitigation method for errors associated with approximations, e.g., energy condensation, spatial homogenization, or coarse discretization, in transport calculations.