Short characteristic integration of radiative transfer problems - Formal solution in two-dimensional slabs

Statistics – Computation

Scientific paper

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Cartesian Coordinates, Computational Grids, Radiation Distribution, Radiative Transfer, Slabs, Spatial Resolution, Thermodynamic Equilibrium, Upstream

Scientific paper

A short characteristic method based on a parabolic approximation of the source function has been developed and is applied to solve the two-dimensional radiative transfer problem on Cartesian meshes. The method is shown to be faster for the evaluation of multidimensional radiation fields than current methods. Convergence as a function of grid resolution is considered. Errors averaged over the mesh for searchlight beams with resolvable edges are found to decrease as the square of the step-size for the case of parabolic interpolation and as a linear function for the case of linear interpolation for uniform meshes.

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