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3D Radiative Transfer Under Conditions of Non-local Thermodynamic Equilibrium: A Contribution to the Numerical Solution

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 129))

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Abstract

A new approach to the solution of the 3D NLTE optically thick radiative transfer problem for moving media is presented. The radiative transfer problem basically consists of determining consistent values for the radiation field and the state of the matter. A first task, therefore, is the solution of the radiative transfer equation, which describes the propagation of radiation in the presence of matter. The second task is the determination of the state of the matter in the presence of a radiation field. These two parts are then coupled iteratively. We present the first application of the generalized mean intensity approach, suggested by Turek [9], [10] for the solution of the radiative transfer equation, to NLTE problems. The resulting linear system is solved using BiCGStab. The corresponding code has successfully been applied to some first test problems.

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© 1999 Springer Basel AG

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Folini, D., Walder, R. (1999). 3D Radiative Transfer Under Conditions of Non-local Thermodynamic Equilibrium: A Contribution to the Numerical Solution. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_33

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  • DOI: https://doi.org/10.1007/978-3-0348-8720-5_33

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9742-6

  • Online ISBN: 978-3-0348-8720-5

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