Radiative transfer with finite elements. I. Basic method and tests

Details Radiative transfer with finite elements. I. Basic method and tests Radiative transfer with finite elements. I. Basic method and tests

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001a%26a...380..776r&link_type=abstract

Astronomy and Astrophysics, v.380, p.776-788 (2001)

Astronomy and Astrophysics

Astrophysics

18

Radiative Transfer, Scattering, Methods: Numerical

Scientific paper

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.

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