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Simulation of Reflection and Transmission Properties of Multiperforated Acoustic Liners

  • Adrien Semin
  • Anastasia Thöns-Zueva
  • Kersten Schmidt
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)

Abstract

In this paper we study the fundamental and higher-order modes propagation in a cylindrical acoustic duct with a multi-perforated liner section. This study relies on an established approximate model that is mathematically verified by a multiscale analysis and that takes the presence of the liner into account through transmission conditions. We simulate the reflection and transmission behaviour by an hp-adaptive finite element method that effectively resolves the solution in presence of strong singularities at the rim of the duct. Moreover, we introduce a new mode matching method based on the complete mode decomposition that depends in the liner section on the Rayleigh conductivity. It turns out that the mode matching method achieves similar accuracies with all propagating and just a number of evanescent modes.

Notes

Acknowledgements

The authors gratefully acknowledge the financial support from the Einstein Foundation Berlin (grant number IPF-2011-98) and the research center MATHEON through the Einstein Center for Mathematics Berlin (project MI-2) and are thankful to the fruitful exchange with the DLR Berlin.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Adrien Semin
    • 1
  • Anastasia Thöns-Zueva
    • 1
  • Kersten Schmidt
    • 1
    • 2
  1. 1.Institut für MathematikTechnische Universität BerlinBerlinGermany
  2. 2.Institut für MathematikBrandenburgische Technische Universität Cottbus-SenftenbergCottbusGermany

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