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基于Daubechies小波尺度函数的炉膛空气动力场声学层析重建方法

刘璠 李言钦

中国电机工程学报2024,Vol.44Issue(5):1904-1912,中插20,10.
中国电机工程学报2024,Vol.44Issue(5):1904-1912,中插20,10.DOI:10.13334/j.0258-8013.pcsee.230109

基于Daubechies小波尺度函数的炉膛空气动力场声学层析重建方法

Research on Reconstruction of Aerodynamic Field in Furnace by Acoustic Tomography Based on Scaling Function of Daubechies Wavelet

刘璠 1李言钦1

作者信息

  • 1. 郑州大学机械与动力工程学院,河南省 郑州市 450001
  • 折叠

摘要

Abstract

Acoustic tomography is an advanced and promising approach to reconstruct the aerodynamic field in furnace non-intrusively.A reliable and optimal reconstruction algorithm is critical.In this paper,a novel acoustic tomographic algorithm for 2-D aerodynamic field in furnace is proposed,which originally takes a set of wavelet scaling functions as basis to reconstruct the spatial field to be measured.A scaling function has intriguing characteristics to contain information of all signal frequencies beneath the defined scale,so that it is expected to effectively reconstruct an objective field with complex spatial frequencies.Nevertheless,Daubechies wavelet is applied to construct the 2-D scaling function basis,for the advantage of compact support,orthogonality etc.,so as to achieve better identification of reconstruction.On the other hand,the gradient descent method is adopted to solve the linear equation sets in the model.The geometric parameters related to the model are normalized to fit for different size or aspect ratio of flow field to be measured.By reconstructing different typical numerical phantoms of cross-sectional flow fields in a furnace,the proposed acoustic reconstruction model is essentially proved to be valid and robust.

关键词

声学层析测量/流场/Daubechies小波/尺度函数/梯度下降法

Key words

acoustic tomography/flow field/Daubechies wavelet/scaling function/gradient descent method

分类

能源科技

引用本文复制引用

刘璠,李言钦..基于Daubechies小波尺度函数的炉膛空气动力场声学层析重建方法[J].中国电机工程学报,2024,44(5):1904-1912,中插20,10.

基金项目

国家自然科学基金项目(51676175). Project Supported by National Natural Science Foundation of China(51676175). (51676175)

中国电机工程学报

OA北大核心CSTPCD

0258-8013

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