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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.244 SNIP: 0.434 CiteScore™: 0.7

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.v2.i6.60
pages 549-560

A COMBINED P1 AND MONTE CARLO MODEL FOR MULTIDIMENSIONAL RADIATIVE TRANSFER PROBLEMS IN SCATTERING MEDIA

Leonid A. Dombrovsky
Joint Institute for High Temperatures, 17A Krasnokazarmennaya Str., Moscow, 111116, Russia; Tyumen State University, 6 Volodarsky Str., Tyumen, 625003, Russia
National Committee of Heat and Mass Transfer (NCHMT)
Wojciech Lipinski
Research School of Engineering, The Australian National University, Canberra ACT 2601, Australia

ABSTRACT

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.


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