Computer Science – Numerical Analysis
Scientific paper
Apr 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...284..319v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 284, no. 1, p. 319-330
Computer Science
Numerical Analysis
14
Local Thermodynamic Equilibrium, Massively Parallel Processors, Numerical Analysis, Radiative Transfer, Stellar Atmospheres, Three Dimensional Models, Cartesian Coordinates, Periodic Functions, Spatial Distribution, Thermal Environments
Scientific paper
We perform 3D radiative transfer calculations in non-local thermodynamic equilibrium (NLTE) in the simple two-level atom approximation on the Mas-Par MP-1, which contains 8192 processors and is a single instruction multiple data (SIMD) machine, an example of the new generation of massively parallel computers. On such a machine, all processors execute the same command at a given time, but on different data. To make radiative transfer calculations efficient, we must re-consider the numerical methods and storage of data. To solve the transfer equation, we adopt the short characteristic method and examine different acceleration methods to obtain the source function. We use the ALI method and test local and non-local operators. Furthermore, we compare the Ng and the orthomin methods of acceleration. We also investigate the use of multi-grid methods to get fast solutions for the NLTE case. In order to test these numerical methods, we apply them to two problems with and without periodic boundary conditions.
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