Open AccessStudy on three-dimensional flame temperature distribution reconstruction based on truncated singular value decomposition
Author(s) -
Qunxing Huang,
Liu Dong,
Wang Fei,
Jun Yan,
Yong Chi,
Kefa Cen
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.6742
Subject(s) - singular value decomposition , regularization (linguistics) , well posed problem , singular value , matrix decomposition , mathematics , matrix (chemical analysis) , distribution (mathematics) , radiative transfer , mathematical analysis , physics , materials science , algorithm , computer science , optics , eigenvalues and eigenvectors , artificial intelligence , quantum mechanics , composite material
Three-dimensional flame temperature distribution reconstruction in furnace according to the flame radiative energy images captured by CCD cameras was studied. Temperature reconstruction matrix equation is an ill-posed linear system of equations and the reconstruction problem is an ill-posed problem. Truncated singular value decomposition method (TSVD) was introduced to deal with the ill-posed matrix equation and L-curve method was adopted to choose regularization parameter. Singular value decomposition (SVD) and discrete Picard condition were used to analyze the ill-posed characteristics of the reconstruction problem carefully. The results show that reasonable solutions can be obtained by TSVD and the reconstructed temperature distribution can reproduce the feature of the assumed temperature distribution.