Section: New Results

Radiative Transfert

The interest of the team in developing efficient numerical methods preserving the asymptotic behavior of kinetic equations modelling the radiative transfer phenomena in the diffusive regime has recently brought two new innovative schemes. On the one hand, the moment closure equations proposed in [43] involve non local terms that lead to the introduction of specific numerical approximations. On the other hand, a new scheme [19] based on the projective integration procedure due to Gear and Kevrekidis was proved very efficient theoritically and numerically.

The team has also obtained a rigorous justification of the formation of so-called Zeldovich spikes in radiative shock profiles [32] . As long as the amplitude of the wave is sufficiently large, the temperature profile displays an overshoot. Such phenomenon does not occur for small amplitude waves, nor for viscous shock profiles.