RT Journal Article ID 332ba5b6310e18fd A1 Ymeli , Guillaume Lambou A1 Kamdem Tagne, Herve Thierry T1 HIGH-ORDER SPHERICAL HARMONICS METHOD FOR RADIATIVE TRANSFER IN SPHERICALLY SYMMETRIC PROBLEMS JF Computational Thermal Sciences: An International Journal JO CTS YR 2015 FD 2016-01-05 VO 7 IS 4 SP 353 OP 371 K1 radiative transfer K1 inhomogeneous media K1 layered spherical geometry K1 spherical harmonics method AB A matrix formulation of the spherical harmonics method to predict radiative transfer in participating layer and layered media within spherical geometry is presented. This formulation combines forward finite-difference spatial discretization and the conjugate gradient squared methods to solve the resulting partial differential equations of radiative intensity moments. Henceforth, a high-order spherical harmonics solution has been obtained without difficulty. Comparisons with other methods are carried out for boundary radiative fluxes, transmittance, and reflectance associated with radiative heat transfer through homogeneous/inhomogeneous, isotropic/anisotropic participating spherical layer and layered media. The comparisons show excellent agreement between exact and very high-order spherical harmonics predictions. It was found that a high order of the PN approximation is necessary to produce accurate results at the inner boundary of hollow spherically symmetric media, while low- or moderate-order of the PN approximation is sufficient to obtained accurate results at the outer boundary of both hollow and solid spherically symmetric media. PB Begell House LK https://www.dl.begellhouse.com/journals/648192910890cd0e,4ce7f7ee2f0dfe8f,332ba5b6310e18fd.html