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Radiative Transfer Methods: new exact results for testing the accuracy of the ALI numerical method for a stellar atmosphere

  • R. Monier, B. Smalley, G. Wahlgren, Ph. Stee and L. Chevallier (a1)...

Abstract

Tests are presented of the 1D Accelerated Lambda Iteration method, which is widely used for solving the radiative transfer equation for a stellar atmosphere. We use our ARTY code as a reference solution and tables for these tests are provided. We model a static idealized stellar atmosphere, which is illuminated on its inner face and where internal sources are distributed with weak or strong gradients. This is an extension of published tests for a slab without incident radiation and gradients. Typical physical conditions for the continuum radiation and spectral lines are used, as well as typical values for the numerical parameters in order to reach a 1% accuracy. It is shown that the method is able to reach such an accuracy for most cases but the spatial discretization has to be refined for strong gradients and spectral lines, beyond the scope of realistic stellar atmospheres models. Discussion is provided on faster methods.

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[1] Amosov, A., & Dmitiev, V., 2005, MPEI Bulletin, 6 (Moscow Power EngineeringInstitute, Technical University, Krasnokazarmennaya, 14, Moscow 111250, Russia)
[2]Auer, L.H., & Paletou, F., 1994, A&A, 284, 675
[3] Auer, L.H., Fabiani Bendicho, P., & Trujillo Bueno, J., 1994, A&A, 292, 599
[4]Cannon, C.J., 1973, JQSRT, 13, 627
[5]Chevallier, L., Paletou, F., & Rutily, B., 2003a, A&A, 411, 221
[6] Chevallier, L., Paletou, F., & Rutily, B., 2003b, SF2A-2003: Semaine de l’Astrophysique Française, meeting held in Bordeaux, France, June 16-20, 2003, ed. F. Combes, D. Barret, T. Contini, & L. Pagani (EDP Sciences, Conference Series), 581
[7]Chevallier, L., & Rutily, B., 2005, JQSRT, 91, 373
[8] Fabiani Bendicho, P., Trujillo Bueno, J., & Auer, L., 1997, A&A, 324, 161
[9] Hubeny, I., 2003, in Stellar Atmosphere Modeling, ed. I. Hubeny, D. Mihalas, & K. Werner, ASP Conf. Ser., 288, 17
[10]Léger, L., Chevallier, L., & Paletou, F., 2007, A&A, 470, 1
[11] Mihalas, D., 1978, Stellar Atmospheres, 2nd edn. (San Francisco: Freeman and Co)
[12]Olson, G.L., Auer, L.H., & Buchler, J.R., 1986, JQSRT, 35, 431
[13]Osses, A., & Titaud, O., 2006, EAS Publ. Ser., 18, 77
[14] Paletou, F., 2001, C. R. Acad. Sci. Paris, Serie IV, t. 2, 6, 885
[15]Paletou, F., & Léger, L., 2007, JQSRT, 103, 57
[16] Quang, C., Paletou, F., & Chevallier, L., 2004, SF2A-2004: Semaine de l’Astrophysique Française, meeting held in Paris, France, June 14-18, 2004, ed. F. Combes, D. Barret, T. Contini, F. Meynadier, & L. Pagani (EDP Sciences), 317
[17] Rutily B., “Solutions exactes de l’équation de transfert et applications astrophysiques” or “Exact solutions to the transfer equation and their application to astrophysical problems”, State Ph.D. Thesis, Université Claude Bernard-Lyon I, France, 1992
[18]Rutily, B., & Bergeat, J., 1994, JQSRT, 51, 823
[19]Rutily, B., & Chevallier, L., 2006, EAS Publ. Ser., 18, 1
[20] Titaud, O., 2001, “Analyse et résolution numérique de l’équation de transfert” or “Analysis of and numerical solution to the radiative transfer equation”, Ph.D. Thesis (Univ. Jean Monnet, Saint-Etienne, France)
[21] T. Bueno, J., & F. Bendicho, P., 1995, ApJ, 455, 646

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