Stretched and Filtered Multigroup P_n Transport for Improved Positivity and Accuracy

Abstract

One of the common methods for solving the radiation transport equation is to use a polynomial expansion for the angle variable(s). Recent research that reduces the oscillations and improves the positivity of the gray transport equation solutions is here applied to the multigroup transport equations. Constant scale factors that stretch the time axis and constant scattering opacities that filter the solution greatly increase the accuracy of the solution with no added nonlinearities. No new solution techniques are required. Test problems are presented in one and two dimensions.

Keywords:

• Radiation transport
• P_n transport
• positivity
• stretched and filtered P_n