化工进展2024，Vol.43Issue(2)：659-666,8.DOI:10.16085/j.issn.1000-6613.2023-1323
基于LSMR算法的火焰三维温度场重建
Three-dimensional temperature field reconstruction of flame based on LSMR algorithm
摘要
Abstract
The light field imaging technique can simultaneously record the spatial distribution information and propagation direction information of the incident light,and combined with relevant inversion algorithms,it can be used for the reconstruction of the three-dimensional temperature field of the flame.The least squares via QR factorization(LSQR)algorithm can effectively solve linear problems based on large sparse matrices,but it is difficult to ensure the nonnegativity and accuracy of the solution in the process of solving the flame radiation intensity.The non-negative least squares(NNLS)algorithm can guarantee the non-negativity of the solution,but the computational efficiency is too low.In this paper,we proposed to use the least square minimal residual(LSMR)method for three-dimensional temperature field reconstruction of flame light field imaging,and studied its reconstruction accuracy,computational efficiency,anti-noise performance and other indicators.Simulation experiments showed that the LSMR and NNLS algorithms can guarantee the non-negativity of solving the flame radiation intensity under different noise levels.In the case of noise of 5％,10％,15％ and 20％,both LSMR and NNLS algorithms improved the accuracy of solving the radiation intensity by more than 10％compared with LSQR,and the solution time of LSMR algorithm was reduced by one order of magnitude and four orders of magnitude compared with LSQR and NNLS,respectively.It could be seen that the LSMR algorithm can significantly improve the computational efficiency while ensuring the solution accuracy.Finally,the LSMR algorithm was used to reconstruct the temperature field of the simulated light field flame,and the average relative errors were kept within 1.2％under different noise levels,which verified the accuracy and reliability of the LSMR algorithm in reconstruction.关键词
光场/成像/火焰/LSMR算法/三维温度场重建Key words
light field/imaging/flame/LSMR algorithm/3D temperature field reconstruction分类
能源科技引用本文复制引用
单良,仰文淇,洪波,周荣幸,孔明..基于LSMR算法的火焰三维温度场重建[J].化工进展,2024,43(2):659-666,8.基金项目
国家自然科学基金(51874264,52076200). （51874264,52076200）
