Chebyshev collocation method for solving the radiative transfer equation

Details Chebyshev collocation method for solving the radiative transfer equation Chebyshev collocation method for solving the radiative transfer equation

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jqsrt..35..329k&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 35, April 1986, p. 329-336.

Statistics

Computation

6

Collocation, Harmonic Analysis, Radiative Transfer, Spherical Harmonics, Angular Distribution, Chebyshev Approximation, Heat Flux, Polynomials, Radiation Distribution

Scientific paper

A Chebyshev collocation method is presented for solving the spherical harmonics approximation to the equation of radiative transfer in a plane-parallel, homogeneous medium. As a result of test computations performed for Rayleigh and Henyey-Greenstein phase function, it was found that the proposed method can be used to solve transfer problems stably and accurately, even for an optically thick case, and that the accuracy of computations is greatly improved by increasing the order of Chebyshev polynomials in expansion.

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