Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...242..290s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 242, no. 1, Feb. 1991, p. 290-300.
Astronomy and Astrophysics
Astrophysics
13
Atomic Energy Levels, Iterative Solution, Line Spectra, Multigrid Methods, Radiative Transfer, Atmospheric Models, Computer Programs, Convergence, Smoothing, Thermodynamic Equilibrium
Scientific paper
A method of multiple grids of the second kind is used to solve two basic radiative transfer problems: the spectral line transfer in a homogeneous slab of two-level atoms and a two-dimensional LTE model atmosphere in radiative equilibrium. The employed multigrid method (W-cycle) alternately performs coarse-grid corrections and smoothing steps, the latter in the form of an accelerated Lambda-iteration. The new iterative method preserves all the advantages of approximate operator techniques, but convergence is considerably improved. In all the relevant examples of line transfer calculations made, the multigrid method is faster by a factor that varies from 4 to more than 20 with respect to the CPU time needed by an accelerated Lambda-iteration based on a nonlocal approximate operator. The two-dimensional slab problem even shows speedup factors as high as 40. Grid refinement generally improves the convergence rate.
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