Two-dimensional radiative transfer. I - Planar geometry

Details Two-dimensional radiative transfer. I - Planar geometry Two-dimensional radiative transfer. I - Planar geometry

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...220.1001m&link_type=abstract

Astrophysical Journal, Part 1, vol. 220, Mar. 15, 1978, p. 1001-1023.

Astronomy and Astrophysics

Astrophysics

74

Atmospheric Models, Differential Equations, Radiative Transfer, Stellar Atmospheres, Graphs (Charts), Hermitian Polynomial, Mathematical Models, Stellar Structure

Scientific paper

Differential-equation methods for solving the transfer equation in two-dimensional planar geometries are developed. One method, which uses a Hermitian integration formula on ray segments through grid points, proves to be extremely well suited to velocity-dependent problems. An efficient elimination scheme is developed for which the computing time scales linearly with the number of angles and frequencies; problems with large velocity amplitudes can thus be treated accurately. A very accurate and efficient method for performing a formal solution is also presented. A discussion is given of several examples of periodic media and free-standing slabs, both in static cases and with velocity fields. For the free-standing slabs, two-dimensional transport effects are significant near boundaries, but no important effects were found in any of the periodic cases studied.

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