Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-01-25
Astrophys.J.648:762-766,2006
Astronomy and Astrophysics
Astrophysics
5 two-column pages, 2 figures; matches accepted version, to appear on ApJ
Scientific paper
10.1086/505682
The last decade has seen applications of Adaptive Mesh Refinement (AMR) methods for a wide range of problems from space physics to cosmology. With the advent of these methods, in which space is discretized into a mesh of many individual cubic elements, the contemporary analog of the extensively studied line radiative transfer (RT) in a semi-infinite slab is that of RT in a cube. In this study we provide an approximate solution of the RT equation, as well as analytic expressions for the probability distribution functions (pdfs) of the properties of photons emerging from a cube, and compare them with the corresponding slab problem. These pdfs can be used to perform fast resonant-line RT in optically thick AMR cells where, otherwise, it could take unrealistically long times to transfer even a handful of photons.
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