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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。
For the narrow-band k-distribution model, the key factor affecting the accuracy of the calculation is the integral format. In order to study the influence of the integral format on the narrow-band k-distribution model, five high-precision Gaussian integration methods are selected for calculation and analysis. First of all, Gaussian-Lobatto7 point integral format narrow-band k-distribution method was used to calculate the average transmittance of narrowband in four conditions of CO2. The results were compared with the experimental results, and the results were in good agreement. In addition, four integral methods were selected: Gauss-Lobatto5, Gauss-Lobatto4, Gauss-Legendre4 and Gauss-Legendre2 points, and four examples of CO2 were calculated. The results of five integral formats were compared with those calculated line by line The results of comparative analysis. The results show that Gauss-Lobatto7 has the highest accuracy, Gauss-Lobatto5 and Gauss-Legendre4, Gauss-Legendre4 slightly higher than Gauss-Lobatto5. Obviously, the same integral method has more points and the calculation accuracy is higher, but the calculation time is longer. However, Gauss-Legendre is better than Gauss-Lobatto by two different integral methods. Taking into account the accuracy and calculation time and other factors, Gausslegendre 4 in the five integral formats should be the best choice.