Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization

Brian Hunter; Zhixiong Guo

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Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization

机译：通过相函数归一化减少辐射转移分析中有限体积方法的角度分裂和计算时间

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The commonly implemented splitting of solid angles to ensure scattered energy conservation in the finite volume method does not exactly conserve phase function asymmetry factor after directional discretization, leading to significant changes in scattering effect for radiative transfer analysis in highly anisotropic scattering media. In addition, use of a large number of split sub-angles results in drastic increases in computational CPU time and computer memory. The phase function normalization approach considered in this study is found to guarantee accurate conservation of both scattered energy and asymmetry factor simultaneously after directional discretization as well as depress solid angle splitting, vastly reducing the computational convergence time with improved accuracy. As a test, radial and axial radiative heat flux profiles in a scattering cylinder generated both with and without the phase function normalization are compared among different levels of angle discretization and splitting as well as with the discrete-ordinates method. The effects of changes in optical thickness, angular resolution, scattering albedo, and phase function approximation are examined.

机译：在有限体积方法中通常采用的立体角分裂以确保散射能量守恒不能完全保留方向离散后的相位函数不对称因子，从而导致高度各向异性散射介质中辐射转移分析的散射效应发生显着变化。另外，使用大量的拆分子角度会导致计算CPU时间和计算机内存的急剧增加。发现本研究中考虑的相函数归一化方法可确保在定向离散化后同时精确保留散射能量和不对称因子，并抑制立体角分裂，从而以提高的准确性大大减少了计算收敛时间。作为测试，比较了在不同水平的角度离散化和分裂以及离散坐标方法下，在有和没有相位函数归一化的情况下生成的散射圆柱体中的径向和轴向辐射热通量分布。研究了光学厚度，角分辨率，散射反照率和相位函数近似值变化的影响。

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《International Journal of Heat and Mass Transfer》 |2012年第10期|p.2449-2460|共12页
作者
Brian Hunter; Zhixiong Guo;
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作者单位

Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, 98 Brett Road, Piscataway, NJ 08854, USA;

Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, 98 Brett Road, Piscataway, NJ 08854, USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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关键词
normalization of phase function; henyey-creenstein phase function; legendre polynomial phase function; finite volume method; radiative heat transfer;

机译：相函数归一化;Henyey-creenstein相函数;Legendre多项式相函数;有限体积法;辐射传热;

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1. Normalization of Various Phase Functions for Radiative Heat Transfer Analysis in a Solar Absorber Tube [J] . BRIAN HUNTER, ZHIXIONG GUO Heat Transfer Engineering . 2014,第5a8期

机译：吸收器管内辐射换热分析的各个相函数的归一化
2. Comparison of the Discrete-Ordinates Method and the Finite-Volume Method for Steady-State and Ultrafast Radiative Transfer Analysis in Cylindrical Coordinates [J] . Brian Huntera amp, Zhixiong Guoa* Numerical Heat Transfer, Part B: Fundamentals . 2011,第5期

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5. Modelling of radiative heat transfer in participating media by the finite volume method. [D] . Chui, Eddy Ho-Kuen. 1990

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Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization

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