Abstract
In this paper, a positivity-preserving finite volume scheme is proposed for the two-dimensional three-temperature (2-D 3-T) radiation diffusion equations. The cell centers are given to define the primary unknowns. The cell vertexes are used to define auxiliary unknowns, which can be computed by the primary unknowns. The nonlinear two-point flux approximation is applied to the discretization of diffusion flux. This scheme is not necessary the interpolation method with positivity-preserving property. Besides, this scheme is local conservative and second-order accurate on the distorted meshes. The existence of discrete solution for this scheme is proved. The stability analysis is also obtained with some assumptions. Numerical experiments indicate that the finite volume scheme is robust and well positive in solving the 2-D 3-T radiation diffusion equations.
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