Study of radiation in spherical media using discrete ordinates method associated with the finite Legendre transform

Autor:	Anouar Soufiani, T. Sghaier, M.S. Sifaoui
Rok vydání:	2000
Předmět:	Physics Radiation Differential equation Scattering Mathematical analysis Finite difference Spherical harmonics Atomic and Molecular Physics and Optics Legendre transformation Associated Legendre polynomials symbols.namesake Radiative transfer symbols Legendre polynomials Spectroscopy
Zdroj:	Journal of Quantitative Spectroscopy and Radiative Transfer. 64:339-351
ISSN:	0022-4073
Popis:	A new method for the solution of the radiative transfer equation in spherical media based on a modified discrete ordinates method is developed. In this method an expression of the angular streaming derivative term appearing in the spherical radiative transfer equation is derived from the expansion of the radiative intensity on the basis of Legendre polynomials. The set of the resulting differential equations are solved using the fourth-order Runge–Kutta method. First, we show that this method is more accurate than finite differences applied to the streaming derivative term. The effects of the optical depth and the shape of the scattering phase function on the temperature field in the medium are then examined for spherical gray media subject to pure radiative transfer.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7c3c989acb98fb9c4b4b64f61d766d3b https://doi.org/10.1016/s0022-4073(99)00107-7 Zobrazit plný text záznamu Full Text from ScienceDirect