Volume 380, Number 2, December III 2001
|Page(s)||776 - 788|
|Section||Section $secnum inconnue|
|Published online||15 December 2001|
Radiative transfer with finite elements
I. Basic method and tests
Institut für Theoretische Astrophysik, Universität Heidelberg, Tiergartenstr. 15, 69121 Heidelberg, Germany
2 Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany
3 Interdisziplinäres Zentrum für Wissenschaftliches Rechnen, Universität Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany
Corresponding author: S. Richling, email@example.com
Accepted: 4 October 2001
A finite element method for solving the monochromatic radiation transfer equation including scattering in three dimensions is presented. The algorithm employs unstructured grids which are adaptively refined. Adaptivity as well as ordinate parallelization reduce memory requirements and execution time and make it possible to calculate the radiation field across several length scales for objects with strong opacity gradients. An a posteriori error estimate for one particular quantity is obtained by solving the dual problem. The application to a sample of test problems reveals the properties of the implementation.
Key words: radiative transfer / scattering / methods: numerical
© ESO, 2001
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