Difference-equation methods for the solution of radiative transfer problems in media with discontinuities

Physics

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Atmospheric Circulation, Atmospheric Radiation, Difference Equations, Radiative Transfer, Stellar Atmospheres, Differential Equations, Discontinuity, Finite Difference Theory, Scattering Functions, Shock Wave Propagation

Scientific paper

Difference-equation methods are developed for solving the equation of transfer in media with discontinuities in their physical properties. These should prove useful in calculating the radiation field in dynamical atmospheres having shocks. Two examples with thermal or scattering source functions, for which exact solutions can be obtained, are used to evaluate the accuracy of the techniques, which prove quite satisfactory.

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