Multiscale Computations for Kinetic and Related Problems

Asymptotic preserving scheme for nonlinear grey radiative transfer equation

Li Wang

Univeristy of Minnesota

We develop an asymptotic preserving scheme for nonlinear grey radiative transfer equation in diffusive regime. To mitigate the nonlinearity, our idea is based on a predictor-corrector reformulation of the equation, which is then discretized via an implicit-explicit method that preserves the asymptotic limit. The spatial discretization is fulfilled on a staggered grid after an even-odd decomposition. We also consider the application to Marshak wave where additional nonlinearity from the scattering coefficient needs special treatment. This is a joint work with Min Tang.