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Direct and inverse uncertainty quantification of acoustic refraction phenomena through a shear layer

机译：通过剪切层的声折射现象的直接和逆不确定性量化

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摘要

A sensitivity analysis of sound refraction phenomena through a 2D mixing layer subject to uncertain flow properties and/or source parameters is carried out by means of a Probabilistic Collocation method. Probability distribution functions associated to the uncertain input parameters are propagated through the system of governing equations to obtain variation ranges of the output quantities of interest, like sound pressure levels. The most influential uncertain parameters are identified by comparing the corresponding amplification factors. Afterwards, an inverse statistical problem is solved by means of Bayesian inference: a set of acoustic measurements is used to infer about uncertain parameters of the flow field or the source. Specifically, it is possible to obtain an accurate estimate of the position of a source and of the associated probability distribution by using using pressure measurements at a few positions in the flow field.
机译：借助于概率配置方法，对经过2D混合层的声音折射现象进行了敏感性分析，该现象受到不确定的流动特性和/或源参数的影响。与不确定输入参数相关联的概率分布函数通过控制方程系统传播，以获得感兴趣的输出量（如声压级）的变化范围。通过比较相应的放大因子，可以确定最有影响力的不确定参数。然后，通过贝叶斯推理解决逆统计问题：使用一组声学测量来推断流场或源的不确定参数。具体地，可以通过在流场中的几个位置处使用压力测量来获得对源的位置以及相关联的概率分布的准确估计。

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