Simulation of Temperature Field Reconstruction by Acoustic Based on Improved Landweber Method

Abstract

Abstract.Temperature measurement by acoustic is a new kind of temperature visualization measurement technology. It is very important to develop three-dimensional temperature field reconstruction algorithm in acoustic application. In order to get the three-dimensional temperature field distribution, this paper presents to reconstruction the temperature field distribution by Landweber method. A preprocessing matrix is adopted to accelerate the method according to the characteristics of temperature field. Based on several typical distribution model of temperature field simulation, The results show that the algorithm of Landweber and precondition matrix method can realize the reconstruction of the temperature field.

Dynamic Reconstruction Algorithm of Three-Dimensional Temperature Field Measurement by Acoustic Tomography

“…Typical acoustic tomography algorithms in temperature field reconstruction can be divided into two-dimensional and three-dimensional reconstruction algorithms. The main algorithms in two dimensional temperature field reconstruction are least square [ 1 , 2 , 3 , 4 , 5 ], Fourier regularization method [ 6 , 7 , 8 , 9 ], gaussian function and regularization algorithm [ 10 , 11 ], algebraic reconstruction algorithm [ 12 , 13 ], modified Landweber method [ 14 ], Tikhonov regularization method [ 15 , 16 , 17 , 18 , 19 ], radial basis function (RBF) and singular value decomposition [ 20 , 21 ], algorithm based on iteration and interpolation [ 22 ], RBF neural network [ 23 ], method based on the parabolic function [ 24 ], exponent SVD [ 25 , 26 ], exponent regularization [ 27 ], genetic algorithm [ 28 ], regularization algorithm based on Markov Radial Basis Function [ 29 , 30 , 31 ], and so on. Two-dimensional temperature field reconstruction can only provide the temperature field distribution of a two-dimensional plane, but the actual measurement object is a three-dimensional space temperature field.…”