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Diagnosis of combustion flow fields in aeroengines, scramjets, and related systems plays a crucial role in understanding combustion mechanisms, evaluating combustion stability and performance, and and is also a major challenge in the development of advanced propulsion technologies. Among the non-intrusive diagnostic approaches, laser absorption spectroscopy has become one of the most representative techniques. In particular, tunable diode laser absorption spectroscopy (TDLAS) offers advantages such as a compact system architecture, easy miniaturization, strong environmental adaptability, and the capability of simultaneous temperature and concentration measurements. By employing multiple laser beams intersecting at different angles and collecting absorption spectra along various paths, the two-dimensional distribution of flow-field parameters can be reconstructed using computed tomography (CT) algorithms. However, traditional nonlinear tomographic algorithms based on polynomial models encounter difficulties in reconstructing flow fields with steep gradients. To solve this problem, we propose a hybrid reconstruction method that integrates a regional weighting mechanism. In this framework, the polynomial model is combined with a Gaussian radial basis function (RBF) model, and a regional weight matrix is iteratively updated in an adaptive manner. The regional weight matrix is determined by introducing perturbations into the current temperature field and jointly considering its temperature gradient. This design allows the hybrid model to capture global features while enhancing its ability to resolve local details. In addition, a regional weight regularization term is incorporated into the residual function to further improve reconstruction accuracy. To validate the proposed approach, numerical simulations are conducted on three representative combustion field distributions, and comparisons are made between polynomial model, RBF model, and traditional algebraic reconstruction technique (ART) algorithms. The results demonstrate that the hybrid model achieves higher representational capability and reconstruction accuracy, with maximum temperature and concentration errors reduced to 3.31% and 7.13% (for the Top-Hat case), respectively. A scanning TDLAS measurement platform and a thermocouple measurement platform are built on a standard McKenna burner to experimentally verify the method. The reconstructed distribution has good consistency with the experimental results, and the deviation between the reconstructed 1800 K central temperature and the thermocouple measurement value is only 10 K. These findings verify the effectiveness of the proposed method and highlight its potential as a reliable tool for combustion field diagnostics in propulsion systems. -
Keywords:
- field distribution reconstruction /
- hybrid model /
- regional weighting /
- regularization method
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图 1 自适应算法流程图
Figure 1. Adaptive algorithm flow chart.
图 2 三种模拟分布
Figure 2. Three simulated distributions.
图 3 模型真值拟合误差
Figure 3. Fitting errors of three models.
图 4 光路布局
Figure 4. Light path diagram.
图 5 三种分布不同方法重建结果 (a) 四种算法的单高斯峰温度浓度重建结果; (b) 四种算法的双高斯峰温度浓度重建结果; (c) 四种算法的Top-Hat分布温度浓度重建结果
Figure 5. Reconstruct results of three distribution: (a) Reconstruction results of single peak distribution; (b) reconstruction results of double peak distribution; (c) reconstruction results of Top-Hat distribution.
图 6 算法温度、浓度重建误差 (a) 温度分布重建误差; (b) 浓度分布重建误差; (c) 中心区域温度重建误差; (d) 中心区域浓度重建误差
Figure 6. Temperature and concentration reconstruction errors: (a) Temperature distribution reconstruction error; (b) concentration distribution reconstruction error; (c) central region temperature reconstruction error; (d) central region concentration reconstruction error.
图 7 中心温度对比结果
Figure 7. Comparison results of central temperature.
图 8 噪声模拟结果 (a) 单高斯峰分布; (b) 双高斯峰分布; (c) Top-Hat分布
Figure 8. Noise simulation results: (a) Single peak; (b) double peak; (c) Top-Hat.
图 9 实验示意图
Figure 9. Experimental schematic diagram.
图 10 实验装置图
Figure 10. Experimental setup diagram.
图 11 0°第15路光束原始拟合信号
Figure 11. The 15 th original fitting signal.
图 12 实验重建结果
Figure 12. Experimental reconstruction results.
图 13 中心区域沿轴向温度分布结果
Figure 13. Temperature distribution results along the axial direction in the central area.
表 1 所选吸收线光谱参数
Table 1. Spectral parameters of absorption line.
v0/cm–1 S(T0)/(cm–2·atm–1) E'' 7467.7695 1.2174×10–5 2551.4835 7444.3961 0.0011 1790.7113 7185.5962 0.0195 1045.058 6807.8350 6.1737×10–7 3319.4485 
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