Mathematics – Probability
Scientific paper
Jan 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...219..654r&link_type=abstract
Astrophysical Journal, Part 1, vol. 219, Jan. 15, 1978, p. 654-675.
Mathematics
Probability
168
Atmospheric Circulation, Flow Velocity, Radiative Transfer, Stellar Atmospheres, Coupling, Iteration, Mathematical Models, Monotone Functions, Velocity Distribution
Scientific paper
The escape-probability technique of Sobolev for solving radiative transfer problems in moving atmospheres is extended to treat flows in which the line-of-sight component of the flow velocity is not monotonic. A completely general geometrical configuration and flow velocity field are considered; an integral equation is derived for configurations in which a surface is intersected an arbitrary number of times. For the case of just two intersections, it is shown that an iterative solution always converges rapidly. Numerical results for inverse power-law velocity fields demonstrate the magnitude of the radiative coupling between distant parts of the atmosphere.
Hummer David G.
Rybicki George B.
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