A comparative study of finite-difference methods for radiative transfer problems.

Computer Science

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Radiative Transfer: Numerical Methods

Scientific paper

The authors have compared the numerical results of two widely used difference methods for the radiative transfer equation in plane-parallel medium. The Discrete Space theory (DS) is based on the direct first-order differential equation for the specific intensity whereas Auer's Hermitian (AH) method used the second order form for the mean-intensity and flux-like variables. The numerical results of these two methods are compared with analytical solutions under the two-stream approximation in a semi-infinite atmosphere. For the multi-stream case, the numerical errors are estimated using the solution of Chandrasekhar's discrete ordinate method.

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