Bidirectional reflective boundary conditions and the analytical smoothing technique for the spherical harmonics method of radiative transfer.

Details Bidirectional reflective boundary conditions and the analytical smoothing technique for the spherical harmonics method of radiative transfer. Bidirectional reflective boundary conditions and the analytical smoothing technique for the spherical harmonics method of radiative transfer.

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..56r.673k&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 56, No. 5, p. 703 - 711

Statistics

Computation

Radiative Transfer: Numerical Methods

Scientific paper

Two techniques are presented to improve the generality of the spherical harmonics solution. The authors first exploit the properties of the matrices encountered in the spherical harmonics method and develop a technique that handles bidirectionally reflective boundary conditions. To damp the undesirable oscillatory phenomenon in the spherical harmonics solution, an integral smoothing is usually applied. For the second technique, the authors present an analytical smoothing which requires little computation overhead and preserves the nice features of an analytical solution.

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