Numerical and experimental study on acoustic tomographic reconstruction of flow field

被引:8
作者
Kong, Qian [1 ,2 ]
Li, Peng [1 ,2 ]
Jiang, Genshan [3 ]
Liu, Yuechao [1 ,2 ]
机构
[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
[2] North China Elect Power Univ, Hebei Key Lab Phys & Energy Technol, Baoding 071003, Peoples R China
[3] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
关键词
Acoustic tomography; Velocity field measurement; Inverse problem; Radial basis functions approximation; Tikhonov-Gaussian regularization method; Regularization matrix; VELOCITY-FIELD; TEMPERATURE; REGULARIZATION; PYROMETRY;
D O I
10.1016/j.measurement.2023.113025
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper reports the acoustic vector tomography (AVT) method to reconstruct the airflow as a vector field. In order to increase the efficiency of reconstruction process, proposed radial basis functions approximate the flow velocity components. Tikhonov-Gaussian regularization combined with Generalized Singular Value Decompo-sition method and modified L-curve are introduced to solve the ill-posed problem and select the optimal regu-larization parameters. The feasibility and validity of the method are verified by numerical simulation and experiment. The numerical results confirmed the effectiveness of the proposed method with higher accuracy, better anti-noise capability and shorter consuming time compared with other reconstruction methods. Besides, a physical experiment is performed for further testing. We measured the incident flow and vortex field using the proposed acoustic method. The results show that the tendency and data of the acoustical reconstructed flow field are consistent with the strip display and anemometer results. The relative errors of most measurement points are under 15% and our proposed acoustic method is effective in practical velocity field measurement.
引用
收藏
页数:18
相关论文
共 42 条
[1]  
Bemis K.G., 2003, GEOPH RES ABSTR, V5, P6
[2]   An acoustic pyrometer system for tomographic thermal imaging in power plant boilers [J].
Bramanti, M ;
Salerno, EA ;
Tonazzini, A ;
Pasini, S ;
Gray, A .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1996, 45 (01) :159-167
[3]   TOMOGRAPHIC RECONSTRUCTION OF VECTOR-FIELDS [J].
BRAUN, H ;
HAUCK, A .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1991, 39 (02) :464-471
[4]  
Buhmnn M.D., 2003, RADIAL BASIS FUNCTIO
[5]   Tikhonov regularization and the L-curve for large discrete ill-posed problems [J].
Calvetti, D ;
Morigi, S ;
Reichel, L ;
Sgallari, F .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 123 (1-2) :423-446
[6]   Experimental study on underwater acoustic imaging of 2-D temperature distribution around hot springs on floor of Lake Qiezishan, China [J].
Fan, Wei ;
Chen, Ying ;
Pan, Huachen ;
Ye, Ying ;
Cai, Yong ;
Zhang, Zhujun .
EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2010, 34 (08) :1334-1345
[7]  
Green S.F, 1986, P 8 INT HEAT TRANSF, P555
[8]   AN ACOUSTIC TECHNIQUE FOR RAPID TEMPERATURE DISTRIBUTION MEASUREMENT [J].
GREEN, SF .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1985, 77 (02) :759-763
[9]   Velocity measurement of the liquid-solid flow in a vertical pipeline using gamma-ray absorption and weighted cross-correlation [J].
Hanus, Robert ;
Petryka, Leszek ;
Zych, Marcin .
FLOW MEASUREMENT AND INSTRUMENTATION, 2014, 40 :58-63
[10]   Three-Dimensional Modelling of Geological Surfaces Using Generalized Interpolation with Radial Basis Functions [J].
Hillier, Michael J. ;
Schetselaar, Ernst M. ;
de Kemp, Eric A. ;
Perron, Gervais .
MATHEMATICAL GEOSCIENCES, 2014, 46 (08) :931-953