Asymptotic preserving and positive schemes for radiation hydrodynamics

Authors:
Christophe Buet;Bruno Despres
Affiliations:
Département des Sciences de la Simulation et de l'Information, Commissariat à l'Énergie Atomique, Bruyères le Chatel, France;Département des Sciences de la Simulation et de l'Information, Commissariat à l'Énergie Atomique, Bruyères le Chatel, France
Venue:
Journal of Computational Physics
Year:
2006

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Abstract

In view of radiation hydrodynamics computations, we propose an implicit and positive numerical scheme that captures the diffusion limit of the two-moments approximate model for the radiative transfer even on coarses grids. The positivity of the scheme is equivalent to say that the scheme preserves the limited flux property. Various test cases show the accuracy and robustness of the scheme.