Discontinuous Galerkin finite element methods for radiative transfer in spherical symmetry

Kitzmann, Daniel; Bolte, Jan; Patzer, A. Beate C. (2016). Discontinuous Galerkin finite element methods for radiative transfer in spherical symmetry. Astronomy and astrophysics, 595, A90. EDP Sciences 10.1051/0004-6361/201628578

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The discontinuous Galerkin finite element method (DG-FEM) is successfully applied to treat a broad variety of transport problems numerically. In this work, we use the full capacity of the DG-FEM to solve the radiative transfer equation in spherical symmetry. We present a discontinuous Galerkin method to directly solve the spherically symmetric radiative transfer equation as a two-dimensional problem. The transport equation in spherical atmospheres is more complicated than in the plane-parallel case owing to the appearance of an additional derivative with respect to the polar angle. The DG-FEM formalism allows for the exact integration of arbitrarily complex scattering phase functions, independent of the angular mesh resolution. We show that the discontinuous Galerkin method is able to describe accurately the radiative transfer in extended atmospheres and to capture discontinuities or complex scattering behaviour which might be present in the solution of certain radiative transfer tasks and can, therefore, cause severe numerical problems for other radiative transfer solution methods.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Center for Space and Habitability (CSH)

UniBE Contributor:

Kitzmann, Daniel

Subjects:

500 Science > 520 Astronomy

ISSN:

0004-6361

Publisher:

EDP Sciences

Language:

English

Submitter:

Daniel Kitzmann

Date Deposited:

13 Dec 2016 16:15

Last Modified:

13 Dec 2016 16:30

Publisher DOI:

10.1051/0004-6361/201628578

ArXiv ID:

1607.07367v1

Uncontrolled Keywords:

radiative transfer; methods: numerical; stars: atmospheres

BORIS DOI:

10.7892/boris.89861

URI:

https://boris.unibe.ch/id/eprint/89861

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