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A multi scale acoustics course in porous media

Abstract : With microstructure control of porous material emerging as a viable noise reduction option, industry and R&D groups need a range of modeling tools to predict the sound absorption and propagation properties of acoustic waves through porous media. Potential disordered microstructure issues, combined with a significant level of complexity as to transport and frequency-dependent properties, lead to the requirement for multi-scale analysis tools efficient enough to perform microstructure optimization of sound proofing materials. The computational time necessary to properly model acoustic wave propagation through real samples of porous materials using partial differential equations governing the physics at the local scale can be prohibitive. With appropriate local geometry model simplifications, coupled with advanced numerical homogenization techniques, much more physical insight can be developed that can help answer many of the pressing questions of the porous materials industry. This week of lecture courses deals with the latest multi-scale acoustics of porous media techniques, including an understanding of the basic equations that govern the system and the different ways that those equations can be solved. Solutions will range from simple analytical solutions to multi scale models consisting of multiple periodic unit cells and fluid flow pathways. Attendees to this course will also gain an understanding of what are the main features of the local geometry having a significant impact at the upper scale, and how microstructure information controls practical engineering quantities of interest. While representing a very simplified microstructure, the periodic unit cells can be extremely useful screening tools. We demonstrate this with published modeling studies based on a set of real and idealized porous materials. Theses papers explore issues associated with estimation of purely geometrical macroscopic parameters, transport properties, frequency-dependent acoustic response functions and their corresponding comparisons with experimental data, and how periodic unit cell identification on real foam samples can be done prior to the optimization process.
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Contributor : Camille Perrot <>
Submitted on : Monday, June 10, 2013 - 9:20:11 PM
Last modification on : Thursday, March 19, 2020 - 11:52:03 AM


  • HAL Id : hal-00832541, version 1



Camille Perrot. A multi scale acoustics course in porous media. 2012. ⟨hal-00832541⟩



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