Volume 401, Number 2, April II 2003
|Page(s)||419 - 428|
|Published online||21 March 2003|
Radiative transfer in moving media *
I. Discontinuous finite element method for one-dimensional atmospheres
Ústav teoretické fyziky a astrofyziky PřF MU, Kotlářská 2, CZ-611 37 Brno, Czech Republic
2 Astronomický ústav, Akademie věd České republiky, CZ-251 65 Ondřejov, Czech Republic
Corresponding author: D. Korčáková, firstname.lastname@example.org
Accepted: 17 January 2003
We describe the solution of the one-dimensional radiative transfer equation using the discontinuous finite element method. Tests of this method prove its reliability for static media. The static solution is then applied to the solution of the transfer equation in a moving medium using a method which we call here the Local Lorentz Transformation (LLT) method. This new method is applicable also to non–monotonic velocity fields. Direct solution of the radiative transfer equation in the moving medium using the discontinuous finite element method is also presented for cases both with and without inclusion of the effect of aberration. All three techniques are compared and they give comparable results.
Key words: radiative transfer / methods: numerical
© ESO, 2003
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