Parameter optimization of multi-scale multi-group wide-band k-distribution models
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摘要:
针对喷气式飞行器跨声速排气系统的高温固壁与尾喷流的发射红外辐射及其在大气中的远距离传输衰减特性的数值计算，将现有多尺度多线组宽带
k 分布气体辐射模型MSMGWB（multi-scale multi-group wide-band k-distribution model）从3～5 μm波段扩展到2～2.5、3.7～4.8、7.7～9.7 μm和8～14 μm波段，并对模型光谱吸收系数分组组合与匹配高斯积分格式的寻优方法进行了改进。56个一维算例与真实结构跨声速排气系统远程红外成像算例计算结果表明，优化后的MSMGWB模型对比多线组统计窄带模型计算精度和效率都有明显提升，尤其在3～5 μm和3.7～4.8 μm波段，综合计算精度提升近一倍的同时，计算效率分别提升了4倍和1.5倍；对比国内主流目标远程红外特性计算方法，综合计算精度提升更大，计算效率则提升了1个量级左右。Abstract:Considering the numerical calculation of remote infrared signal emitted by solid wall and hot combustion gas of jet aircraft’s transonic exhaust system, the existing multi-scale multi-group wide-band
k -distribution model (MSMGWB) was expanded from 3−5 μm wave band to 2−2.5, 3.7−4.8, 7.7−9.7 μm and 8−14 μm wave bands. Moreover, the method of finding best combination of wavenumber subinterval grouping results and Gauss integral schemes was improved. The calculation results of 56 1D cases and a 3D real-structure transonic exhaust system remote infrared imaging case indicated that the optimized MSMGWB model significantly improved computation accuracy and efficiency compared with fictitious gas-based statistical narrow-band model, especially under 3−5 μm and 3.7−4.8 μm wave bands, the comprehensive calculation accuracy was nearly doubled, and the calculation efficiency was increased by 4 times and 1.5 times, respectively. At the same time, the optimized MSMGWB model’s comprehensive calculation accuracy was improved more significantly, and calculation efficiency was improved by about an order of magnitude compared with the domestic mainstream calculation method of target remote infrared signals.-
Key words:
- gas radiation /
- k-distribution /
- wide-band model /
- multi-scale multi-group /
- infrared imaging
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图 2 56个一维算例的燃气与空气热力学状态参数分布散点图
Figure 2. Thermodynamic state parameter distributions of combustion gas and atmosphere in 56 1D cases
图 3 一维算例中三种气溶胶在2～5 μm波段的光谱消光因子
Figure 3. 2−5 μm wave band extinction efficiency factors of three kinds of aerosols involved in the 1D cases
图 6 不同气体辐射模型远程红外特性一维算例计算精度对比
Figure 6. Calculation accuracies of various models in each 1D cases under different wave bands
图 7 部分一维算例中各模型计算结果对比
Figure 7. Calculation results of various models in a part of 1D cases
图 8 跨声速排气系统的内外流场热力学状态参数空间分布与主喷管、隔热屏结构温度分布
Figure 8. Transonic exhaust system’s internal and external flow field and temperature distributions of primary nozzle and its heat shield
图 9 无气溶胶环境下排气系统不同波段远距离红外成像
Figure 9. Remote infrared imaging of exhaust system under different wave bands under environment excluding aerosol
图 10 不同海拔高度海盐气溶胶光谱消光系数分布与含海盐气溶胶环境下排气系统不同波段20 km远距离红外成像
Figure 10. Spectral extinction coefficients of sea salt aerosols at various altitudes, and 20 km remote infrared imaging of exhaust system under different wave bands under environment containing sea salt aerosol
图 11 有无气溶胶环境下的MSMGWB模型远程红外成像计算误差分布
Figure 11. Error distributions of MSMGWB model in calculation of remote infrared imaging under environment containing and excluding aerosol
表 1 MSMGWB模型光谱吸收系数分组热力学状态样本点
Table 1. Thermodynamic state samples used for calculation of spectral absorption coefficient division of M SMGWB models
状态点 压力/Pa 温度/K x（H2O） x（CO2） x（CO）/10−7 ${\underline{\phi } _1}$ 202650 1900 0.12 0.12 0 $ {\underline{\phi } _2} $ 101325 1900 0.12 0.12 0 $ {\underline{\phi } _3} $ 50662.5 1500 0.1 0.1 0 $ {\underline{\phi } _4} $ 101325 900 0.08 0.08 0 $ {\underline{\phi } _5} $ 50662.5 900 0.08 0.08 0 $ {\underline{\phi } _6} $ 101325 300 0.034 0.00034 1.42 $ {\underline{\phi } _7} $ 101325 300 0.0068 0.00034 1.42 $ {\underline{\phi } _8} $ 91192.5 293 0.02 0.00034 1.42 $ {\underline{\phi } _9} $ 50662.5 263 0.002 0.00034 1.42 
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表 2 不同波段MSMGWB模型参数的优化结果及与其他模型对比
Table 2.
${\boldsymbol{f}}$ and theoretical computational costs of each model under various wave bands波段/μm MSMGWB SNBFG NB $ {M_1} $ $ {M_2} $ $ {T_0}/{\rm{K}} $ $ f $ RTE总数 $ f $ RTE总数 $ f $ RTE总数 带宽/cm−1 2～2.5 15 5 300 17.35 123 54.21 280 1813.4 800 5.0 3.7～4.8 5 10 1300 13.33 87 130.9 217 371.0 496 5.0 3～5 5 10 1900 5.59 70 216.1 350 424.0 800 6.7 3～5[21] 2 10 750 23.17 134 7.7～9.7 11 2 200 16.72 61 24.23 70 1489.9 200 5.36 8～14 10 10 1900 7.01 95 12.86 140 1213.4 428 5.0
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表 3 0～7 km高度的大气热力学状态参数
Table 3. Thermodynamic state parameters in the 0−7 km atmosphere
高度/km 压力/Pa 温度/K x（H2O）/10−3 x（CO2）/10−4 x（CO）/10−7 6～7 45829.30 258.13 1.278 3.299 1.268 5～6 52243.17 264.36 1.884 3.296 1.294 4～5 59305.52 270.35 3.052 3.292 1.304 3～4 67127.81 276.35 4.930 3.286 1.325 2～3 75851.90 282.35 7.863 3.276 1.365 1～2 85477.77 287.56 11.70 3.263 1.410 0～1 96056.10 292.06 16.13 3.248 1.453
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表 4 三维算例MSMGWB模型远程红外成像最大计算误差
Table 4. Maximum calculation error of MSMGWB model in the 3D case
波段/μm 最大计算误差/% 含海盐气溶胶环境 无气溶胶环境 2～2.5 −8.0～+10.2（L=20 km） −12.2～+11.6（L=70 km） 3.7～4.8 −4.3～+4.8（L=20 km） −1.3～+3.9（L=100 km） 3～5 −7.5～+3.7（L=20 km） −8.3～+0.3（L=100 km） 7.7～9.7 −9.1～+2.5（L=20 km） −13.8～+3.5（L=40 km） 8～14 −7.4～+5.1（L=20 km） −14.8～+3.8（L=100 km）
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