Physical constraints on variable Eddington factors for the gray problem in radiative transfer

Details Physical constraints on variable Eddington factors for the gray problem in radiative transfer Physical constraints on variable Eddington factors for the gray problem in radiative transfer

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...323..227f&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 323, Dec. 1, 1987, p. 227-242.

Statistics

Computation

5

Constraints, Eddington Approximation, Gray Gas, Optical Thickness, Radiative Transfer, Stellar Atmospheres, Computational Astrophysics, Hydrodynamic Equations

Scientific paper

An analysis of the solutions to the gray radiative transfer problem in planar and spherical geometry reveals important physical features of the anisotropic behavior of the radiation field in light of a theory of radiating systems previously presented by the author. Specifically, it is found that a statistical formalism for approximating the specific intensity at all optical depths is capable of constraining the range of allowed solutions to the radiative moment equations and provides criteria for choosing variable Eddington schemes that may be useful in radiation hydrodynamics calculations. The planar gray problem is solved using the formalism, and numerical solutions to the Kosirev problem are found to lie within the space of solutions given by the theory. It is concluded that the results provide a significant physical basis for certain variable Eddington factors and also provide the tools for developing improved techniques of handling radiative transfer flow problems in astrophysics.

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