NEW APPROACH TO SOLUTION OF THE RADIANT TRANSPORT-EQUATION

Citation
Vs. Yuferev et Mg. Vasilev, NEW APPROACH TO SOLUTION OF THE RADIANT TRANSPORT-EQUATION, Journal of quantitative spectroscopy & radiative transfer, 57(6), 1997, pp. 753-766
Citations number
13
Categorie Soggetti
Spectroscopy
ISSN journal
00224073
Volume
57
Issue
6
Year of publication
1997
Pages
753 - 766
Database
ISI
SICI code
0022-4073(1997)57:6<753:NATSOT>2.0.ZU;2-3
Abstract
A new approach based on a new method for the angular approximation of radiation intensity is described. In the proposed method, the radiant equation is satisfied in the mean over each elementary cell of the ang ular partition of a sphere while the radiant intensity in each cell is given by an expression analogous to the P-1 approximation. The main n ovelty of the approach consists in the method of sphere partition, whi ch permits an essential simplification of the resulting equations and increases the accuracy of the obtained solution by taking into account specific peculiarities of the problems under consideration. The high efficiency of the method is illustrated by example solutions for diffe rent one-dimensional test problems. (C) 1997 Elsevier Science Ltd.