利用声波反散射数据确定液体中气泡分布的方法

IF 1.8 3区 工程技术 Q3 ENGINEERING, MECHANICAL
Eduard Amromin
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引用次数: 0

摘要

摘要:各种应用都需要有关液体中气泡分布的信息。利用逆声散射是确定这些分布的常用方法。这条路径是基于求解一个导致不适定数学问题的Fredholm第一类积分方程。通常用于此类问题的正则化方法非常复杂,并且需要引入一些调优参数。同时,如本文所示,另一种方法适用于声波传播损失小的介质。该方法是基于在上述方程中提取一个奇异柯西积分,并对该积分进行进一步的反演。这样的正则化通过反演是一个简单的操作,给出数值稳定的解决方案。这里描述了这种正则化,用制造解的方法进行了验证,并用众所周知的已发表的实验数据进行了验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Method to Determine Bubble Distribution in Liquid Using Data of Inverse Acoustical Scattering
Abstract Information on bubble distributions in liquids is required for various applications. Employment of inverse acoustic scattering is the usual path to determine these distributions. This path is based on solving a Fredholm first kind integral equation leading to an ill-posed mathematical problem. The usual regularization methods for such a problem are quite complex and require introduction of some tuning parameters. Meanwhile, as shown in this paper, another method works well for media, where acoustic waves propagate with the small losses. This method is based on extraction of a singular Cauchy integral in the above-mentioned equation and of the further inversion of this integral. Such a regularization via inversion is a simple operation that gives numerically stable solutions. Here this regularization is described, verified using the method of manufactured solutions and validated with the well-known already published experimental data.
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来源期刊
CiteScore
4.60
自引率
10.00%
发文量
165
审稿时长
5.0 months
期刊介绍: Multiphase flows; Pumps; Aerodynamics; Boundary layers; Bubbly flows; Cavitation; Compressible flows; Convective heat/mass transfer as it is affected by fluid flow; Duct and pipe flows; Free shear layers; Flows in biological systems; Fluid-structure interaction; Fluid transients and wave motion; Jets; Naval hydrodynamics; Sprays; Stability and transition; Turbulence wakes microfluidics and other fundamental/applied fluid mechanical phenomena and processes
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