# Discussion about Different Methods for Introducing the Turbulent Boundary Layer Excitation in Vibroacoustic Models

## TL;DR

This paper compares five methods for modeling turbulent boundary layer excitation in vibroacoustic systems and discusses high-frequency power estimation using Statistical Energy Analysis, aiding noise control in vibrating structures.

## Contribution

It introduces and evaluates five different techniques for coupling stochastic TBL excitation with deterministic vibro-acoustic models and discusses high-frequency power estimation methods.

## Key findings

- Five coupling techniques analyzed with their advantages and drawbacks.
- Numerical applications on an academic marine case study.
- Insights into high-frequency power estimation for SEA models.

## Abstract

For controlling the noise radiated from vibrating structures excited by turbulent boundary layer (TBL) it is relevant to develop numerical tools for understanding how the structure reacts to TBL excitation. Usually, the wall pressure fluctuations of the TBL are described through statistical quantities (i.e. space-frequency or wavenumber-frequency spectra) which depend on the TBL parameters. On the other hand, the vibro-acoustic models (i.e. Finite Elements, Boundary Elements, Transfer Matrix Methods, Analytical models, etc) evaluate deterministic transfer functions which characterise the response of the considered structures. The first part of this paper focuses on the coupling between the stochastic TBL and the deterministic vibro-acoustic models. Five techniques are presented. Numerical applications on an academic marine test case are proposed in order to discuss the calculation parameters and the interests / drawbacks of each technique. In the second part of the paper, the high frequency modelling with the Statistical Energy Analysis (SEA) method is considered. The focus is placed on the estimation of an important input of this method: the injected power by the TBL into the structure for each third octave band.

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Source: https://tomesphere.com/paper/1906.01077