积分格式对窄带k-分布计算的影响

发布时间：2018-04-23 14:56

本文选题：气体辐射 + 光谱透过率　；参考：《红外与激光工程》2014年04期

【摘要】：对于窄带k-分布模型,影响计算精度的关键因素是积分格式,为了研究积分格式对窄带k-分布模型的影响,选择了5种精度较高的高斯积分方法进行计算分析。首先采用Gauss-Lobatto7点积分格式窄带k-分布法计算了CO2四种条件下的窄带平均透过率,并与实验结果进行对比验证,对比结果吻合良好。另外选取了4种积分方式:Gauss-Lobatto5、Gauss-Lobatto4、Gauss-Legendre 4和Gauss-Legendre2点积分,对CO2的四个算例进行计算,并将5种积分格式的计算结果与逐线计算结果进行对比分析。结果表明:Gauss-Lobatto7的精度最高,Gauss-Lobatto5和Gauss-Legendre4次之,其中Gauss-Legendre4略高于Gauss-Lobatto 5。显然相同积分方法积分点越多计算精度越高,但计算时间越长,而两种不同积分方法对比Gauss-Legendre优于Gauss-Lobatto。综合考虑精度与计算时间等因素,5种积分格式中Gausslegendre 4应该为最好的选择。
[Abstract]:For the narrow band k- distribution model, the key factor affecting the calculation accuracy is the integral scheme. In order to study the influence of the integral format on the narrow band k- distribution model, five kinds of Gao Si integral methods with high accuracy are selected to calculate and analyze. At first, the narrow band average transmittance under four conditions of CO2 is calculated by using the narrow band k- distribution method of Gauss-Lobatto7 point integral scheme. The results are compared with the experimental results and the results are in good agreement with each other. In addition, four kinds of integral methods: Gauss-Lobatto5 Gauss-Lobatto4Guss-Legendre 4 and Gauss-Legendre2 point integral are selected to calculate the four examples of CO2, and the results of five kinds of integral schemes are compared with the results of line by line calculation. The results show that the precision of the 7 is the highest, Gauss-Lobatto5 and Gauss-Legendre4 are the second, and the Gauss-Legendre4 is slightly higher than that of Gauss-Lobatto 5.The results show that: Gauss-Lobatto7 has the highest accuracy. It is obvious that the more points the same integral method has, the higher the calculation accuracy is, but the longer the calculation time is, and the comparison between the two methods is better than Gauss-Lobatto. the comparison between the two methods is better than Gauss-Lobatto. Gausslegendre 4 should be the best choice among the five integral schemes considering the factors of precision and calculation time.
【作者单位】：光学辐射重点实验室;
【基金】：国防重点实验室基金
【分类号】：TH744.1

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