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Application of the statistical narrow-band correlated-k method to low-resolution spectral intensity and radiative heat transfer calculations - effects of the quadrature scheme

机译:统计窄带相关k方法在低分辨率光谱强度和辐射传热计算中的应用-正交方案的影响

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摘要

The statistical narrow-band correlated-k method was employed to calculate low-resolution spectral intensity along a line-of-sight, and radiative heat transfer in both. a one-dimensional parallel-plates enclosure and a three- dimensional rectangular enclosure containing CO_2 --H_2O N_2 mixtures under various conditions. Numerical calculations were conducted using six quadrature schemes: the commonly used "7--point Gauss-Lobatto" quadrature, the 4-point, 2-point, and l-point Gauss-Legendre quadratures, and the 4-point and 5-point Gauss Lobatto quadratures. The "7-point Gauss--Lobatto" quadrature yields very accurate results compared to the results of the statistical narrow-band model. Results of the 4-point Gauss--Legendre quadrature are only slightly less accurate than those of the "7-point Gauss Lobatto" quadrature. The 2-point Gauss-Legendre quadrature offers acceptably good accuracy with much less computing efforts, especially for calculations of spectrally integrated quantities. Results of the l-point Gauss-Legendre are in serious error. The overall performance of the 4-point and 5-point Gaussu-Lobatto quadratures is even worse than that of the 2-point Gauss-Legendre quadrature. Crown Copyright.
机译:统计窄带相关k方法用于计算沿视线的低分辨率光谱强度以及两者的辐射热传递。一个在不同条件下包含CO_2 --H_2O N_2混合物的一维平行板外壳和一个三维矩形外壳。使用六个正交方案进行了数值计算:常用的“ 7点Gaus​​s-Lobatto”正交,4点,2点和l点Gaus​​s-Legendre正交以及4点和5点高斯Lobatto正交。与统计窄带模型的结果相比,“ 7点高斯-洛巴托”正交产生非常准确的结果。 4点高斯-勒格朗德积分的结果仅比“ 7点高斯Lobatto”正交的结果稍差。 2点高斯-勒格德勒正交技术可提供可接受的良好精度,而所需的计算工作却少得多,尤其是对于频谱积分量的计算。 l点高斯-勒格德勒的结果存在严重误差。 4点和5点Gaus​​su-Lobatto正交的整体性能甚至比2点Gaus​​s-Legendre正交的整体性能差。皇冠版权。

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