Radiation hydrodynamics with many spectral lines: analytical expressions for a differentially moving slab.

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 an...

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Hauptverfasser: Baschek, Bodo (VerfasserIn) , Grueber, C. (VerfasserIn) , Waldenfels, Wilhelm von (VerfasserIn) , Wehrse, Rainer (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1997
In: Astronomy and astrophysics
Year: 1997, Jahrgang: 320, Pages: 920-928
ISSN:1432-0746
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://ui.adsabs.harvard.edu/abs/1997A&A...320..920B
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Verfasserangaben:B. Baschek, C. Grueber, W. von Waldenfels, R. Wehrse
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Zusammenfassung: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.
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Beschreibung:Online Resource
ISSN:1432-0746