Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...320..920b&link_type=abstract
Astronomy and Astrophysics, v.320, p.920-928
Astronomy and Astrophysics
Astrophysics
10
Radiative Transfer, Hydrodynamics, Methods: Analytical
Scientific paper
An analytical solution of the comoving frame radiative transfer equation for a differentially moving slab is obtained and written in terms of the wavelength-integrated extinction coefficient ψ, the spectral thickness. It is shown that ψ is much smoother than the extinction coefficient χ(λ) itself and that it can be well approximated e.g. by a simple piecewise linear function. Compared to conventional algorithms it allows speed-ups of factors >=10^5^ in the calculation of wavelength-integrated quantities such as e.g. the total flux, the radiative force, or the energy balance with an accuracy of <=1%. The total number of lines which can be taken into account is essentially unlimited. A simple expression for the total flux in the diffusion limit is derived and the dependencies on the velocity gradient are discussed.
Baschek Bodo
Grueber C.
von Waldenfels W.
Wehrse Rainer
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