Physics
Scientific paper
Jun 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jqsrt..45..313s&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 45, June 1991, p. 313-337.
Physics
12
Diffusion Theory, Radiant Flux Density, Radiative Transfer, Thermal Radiation, Analytic Functions, Boundary Conditions
Scientific paper
A family of diffusion approximations to the equation of radiative transfer, parameterized functionally by a function chi (omega, R) is presented. Here, omega is the effective single scatter albedo, and R is the magnitude of the dimensionless spatial gradient of the energy density. For any member of this family, i.e., for any function chi, this diffusion theory is flux-limited, properly predicts a single asymptotic mode in a source free homogeneous medium, and gives the correct weak gradient limit. If the choice chi = 1 is made, this family reduces to the flux-limited diffusion theory proposed earlier by Levermore and Pomraning (1981). A function chi is suggested that depends only upon the single variable omega. Simple test problems indicate that this choice leads to improved accuracy over both classic and the earlier flux-limited diffusion theory.
Pomraning G. C.
Sanchez Richard
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