A numerical strategy for radiative transfer problems with higly oscillating opacities

Julien Mathiaud (1, 2) , Francesco Salvarani (3)

1 DAM/DIF - DAM Île-de-France
2 CMLA - Centre de Mathématiques et de Leurs Applications
3 Dipartimento di matematica F. Casorati

We propose a numerical method, suitable to study transport problems with highly oscillatory coefficients, based on a formulation of the equations in terms of a semigroup acting on an enlarged phase space. After testing the strategy on a model case, we consider the relevant situation of radiative transfer equations.

Domaines: Equations aux dérivées partielles [math.AP]

Julien Mathiaud, Francesco Salvarani. A numerical strategy for radiative transfer problems with higly oscillating opacities. 2013. ⟨hal-00601490v2⟩