Finite-Volume Solution of the Second-Order Radiative Transfer Equation: Accuracy and Solution Cost
Finite-Volume Solution of the Second-Order Radiative Transfer Equation: Accuracy and Solution Cost
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DOI：
10.1080/10580530701790118
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发表时间：
2008-01
期刊：
影响因子：
--
通讯作者：
P. Hassanzadeh;G. Raithby
中科院分区：
文献类型：
--
作者：
P. Hassanzadeh;G. Raithby
将有限体积法应用于Zhao和Liu提出的二阶辐射传输方程，研究了其求解两个简单二维问题的精度和求解成本。二阶方程的结果是准确的和有界的，但方程的迭代解是昂贵的，特别是弱参与介质。高成本主要是由于二阶方程的椭圆性和代数方程缺乏对角优势。
The finite-volume method is applied to the second-order radiative transfer equation, proposed by Zhao and Liu, to study its accuracy and solution cost for two simple two-dimensional problems. The second-order equation leads to results that are accurate and bounded, but the iterative solution of the equations is expensive, especially for weakly participating media. The high cost is due mainly to the elliptic character of the second-order equation and the lack of diagonal dominance of the algebraic equations.