Improved Iterative Convergence of the Finite-Element Method in the Solution of the Second-Order Radiative Transfer Equation by Modified Diffusion Synthetic Acceleration
Improved Iterative Convergence of the Finite-Element Method in the Solution of the Second-Order Radiative Transfer Equation by Modified Diffusion Synthetic Acceleration
复制标题
改进扩散合成加速有限元法求解二阶辐射传递方程的迭代收敛性
DOI：
10.1080/10407790.2011.572726
复制
发表时间：
2011-05
影响因子：
1
通讯作者：
Yin, Li-Jie
中科院分区：
文献类型：
--
作者：
An, Wei;Zhu, Tong;Yin, Li-Jie
A modified diffusion synthetic acceleration model is developed to improve the convergence of the second-order radiative transfer equation (SORTE). The model considers the influence of a diffusely reflecting boundary and adopts the P1 diffusion approximation to rectify the scattering source term of the SORTE and the reflecting term of the boundary condition. It can remarkably reduce the computational time in the solution of the SORTE, especially when the participating medium with intensive diffusely reflecting walls is simulated. The accuracy of the model is verified by comparing the results with those of the Monte Carlo method and the finite-element method without any accelerative technique. The effects of the emissivity of walls, the optical thickness, and the scattering albedo on the convergence are also investigated. The results indicate that the accuracy of the proposed model is reliable and its accelerative effect is significant for optically thick and scattering-dominated media with intensive diffusely reflecting walls.
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影响因子：
--
作者：
M. Modest
通讯作者：
M. Modest
影响因子：
2.1
作者：
CHAI, JC;LEE, HS;PATANKAR, SV
通讯作者：
PATANKAR, SV
DOI：
10.1016/c2010-0-65874-3
发表时间：
1993
期刊：
--
影响因子：
--
作者：
M. Modest
通讯作者：
M. Modest
DOI：
10.1080/10580530701790118
发表时间：
2008-01
期刊：
Numerical Heat Transfer, Part B: Fundamentals
影响因子：
--
作者：
P. Hassanzadeh;G. Raithby
通讯作者：
P. Hassanzadeh;G. Raithby
无网格法一、二阶辐射传递方程精度和求解成本的比较研究
影响因子：
1
作者：
Liu, L. H.;Tan, J. Y.;Wang, Y. Y.;Zhao, J. M.
通讯作者：
Zhao, J. M.