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
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.