Radiative Transfer - Comparison of Finite Difference Equations

Details Radiative Transfer - Comparison of Finite Difference Equations Radiative Transfer - Comparison of Finite Difference Equations

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...110...18k&link_type=abstract

Astronomy and Astrophysics, Vol.110, P. 18, 1982

Astronomy and Astrophysics

Astrophysics

6

Scientific paper

The one-dimensional radiative transfer equation in several finite difference approximations is studied with respect to stability and accuracy. For some differencing schemes the solutions are unstable or show damped oscillations on a wide mesh; for others, such as the differencing on interleaved grids of the coupled equations for the symmetric and antisymmetric parts of the radiation field, j and H, the solutions are stable and as accurate as those of the Feautrier equation, provided the mesh points for H are in the middle of the intervals for j, the latter being differenced without restriction. The treatment of the transfer in other geometries and physical situations by means of the finite difference equations is considered.

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