Statistics – Computation
Scientific paper
Aug 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..ccp.j1045k&link_type=abstract
American Physical Society, Division of Computational Physics Annual Meeting: , abstract #J1.045
Statistics
Computation
Scientific paper
Radiation transfer and interaction between radiation and the fluid have a significant effect on both the state and motion of the medium (gas) for both controlled fusion and astrophysics. It is then important to consider radiation transfer in the entire region of optical depths, i.e., from transparent (optically thin) to blackbody (optically thick) regions and therefore direct transport methods should be used. Most realistic problems require 2-D or 3-D treatment. However, 1-D solution can be helpful as a first approximation to multidimensional methods. For the planar geometry this direct method, named forward-reverse method (FRM) was initially developed for astrophysics applications. Since most applications has cylindrical (Z-pinches) or spherical (inertial fusion cavity, stars) geometry it is interesting to expand FRM to nonplanar geometry. A 1-D numerical description of the FRM is developed for a spherical geometry. The path length of photon is averaged in each spherical shell depth to find attenuation of photon flux and energy due to absorption. These path lengths can be used to solve the FRM equations in spherical geometry. The obtained equations can solve radiation transport in nonplanar geometry with sufficient accuracy for entire region of optical thickness. An example of calculation of an expanding hot plasma cloud in a gas filled cavity is given.
Hassanein A.
Konkashbaev I.
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