RT Journal Article ID 0c78c6f63a11ede6 A1 Lipinski, Wojciech A1 Dombrovsky, Leonid A. T1 A COMBINED P1 AND MONTE CARLO MODEL FOR MULTIDIMENSIONAL RADIATIVE TRANSFER PROBLEMS IN SCATTERING MEDIA JF Computational Thermal Sciences: An International Journal JO CTS YR 2010 FD 2010-12-29 VO 2 IS 6 SP 549 OP 560 K1 thermal radiation K1 anisotropic scattering K1 transport approximation K1 P1 approximation K1 Monte Carlo AB A combined two-step computational method incorporating (1) transport approximation of the scattering phase function, (2) P1 approximation and the finite element method for computing the radiation source function at the first step, and (3) the Monte Carlo method for computing radiative intensity at the second step is developed. The accuracy of the combined method is examined for model problems involving two multidimensional configurations of an anisotropically scattering medium. A detailed analysis is performed for a medium with scattering phase function described by a family of the Henyey-Greenstein functions. The accuracy of the two-step method is assessed by comparing the angular distribution of the radiative flux leaving the medium to that obtained by a reference-complete Monte Carlo method. This study confirms the main results of previous articles on the errors of the two-step solution method. The combined method leads to a significant reduction in computational time as compared to the reference method by at least 1 order of magnitude. Finally, possible applications of the combined method are briefly discussed. PB Begell House LK https://www.dl.begellhouse.com/journals/648192910890cd0e,518b06c45751dad4,0c78c6f63a11ede6.html