Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jqsrt..62...49t&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 62, issue 1, pp. 49-57
Astronomy and Astrophysics
Astrophysics
Radiative Transfer: Numerical Methods, Radiative Transfer: Scattering, Radiative Transfer: Stellar Atmospheres
Scientific paper
In the CN method of solving the third form of the transport equation, the medium as a result of Placzek lemma is extended to infinity. The infinite medium Green function which is obtained by the Fourier transform technique is used and the method is applied to one velocity problems in plane and cylindrical geometries. As the result of physical applications of the CN method in different geometries, it is seen that the only difficulty lies in writing the expression of the Green function in an easy to handle form. In the new method of solving the third form of the transport equation (that the authors have generated recently), three methods, namely, CN, FN and the method of elementary solutions are considered, compared and the Green function in terms of the singular eigenfunctions is used. This method yields simple analytical expressions that can be solved numerically more efficiently than the CN method because the expression of the Green function is in the form easy to handle. Here this new method is applied to calculate the extrapolation length for the Milne problem which is a classical problem in astrophysics concerned with the diffusion of radiation through a stellar atmosphere for both isotropic and anisotropic scatterings. It is shown that the numerical results which are tabulated for selected cases are accurate even in the approximations of the lowest order and are in good agreement with the numerical results obtained by the other methods.
Gülecyüz M. C.
Kaşkaş A.
Tezcan Cevdet
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