Time-dependent diffusion and transport calculations using a finite-element-spherical harmonics method

被引：7
作者：
Aydin, ED
Katsimichas, S
de Oliveira, CRE
机构：
[1] Canakkale Onsekiz Mart Univ, Fac Arts & Sci, Dept Phys, TR-17100 Canakkale, Turkey
[2] Thermogas SA, Athens 17675, Greece
[3] Georgia Inst Technol, George W Woodruff Sch Mech Engn, Nucl & Radiol Engn Program, Atlanta, GA 30332 USA
来源：
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2005年 / 95卷 / 03期
关键词：
transient Boltzmann transport equation; photon migration; finite elements; spherical harmonics; Monte Carlo; anisotropy factor g;
D O I：
10.1016/j.jqsrt.2004.11.003
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, the finite-element-spherical harmonics (FE-P-N) method is applied to the solution of transient Boltzmann transport equation. Firstly, transport and diffusion calculations are obtained for homogeneous and inhomogeneous circular regions. Results are compared in order to show the effects of different absorption coefficient values on the propagation of photons. Significant differences between two theories are shown to occur especially in cases when the absorption is increased. Secondly, to validate the FE-P-N method, results from this method are compared with Monte Carlo calculations for different cases. Comparisons show good agreements between FE-transport and Monte Carlo solutions and demonstrate the correctness of the results obtained. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：349 / 363
页数：15
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