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Fast frequency sweeps for unbounded media: An efficient perfectly matched layer finite element formulation
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics, Marcus Wallenberg Laboratory MWL. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.ORCID iD: 0000-0002-6555-531X
(Ecole Centrale de Nantes, Universite de Nantes, Department of Mechanics, Materials and Civil Engineering, France)
KTH, School of Engineering Sciences (SCI), Engineering Mechanics. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.ORCID iD: 0000-0001-9980-0144
2020 (English)In: EURODYN 2020: XI International Conference on Structural Dynamics: Proceedings, 2020, Vol. 2, p. 2508-2520Conference paper, Published paper (Refereed)
Abstract [en]

Effective treatment of unbounded domains using artificial truncating boundaries are essential in numerical simulation including unbounded media, such as in the scope of exterior acoustics, sound transmission calculations,... Among these, Perfectly Matched Layers (PML) have proved to be particularly efficient and flexible, as well as relatively easy to implement using the Finite Element Method (FEM). However, an efficient handling of frequency sweeps is not trivial with such absorbing layers since the formulation inherently contains coupled space- and frequency-dependent terms. Using the FEM, this may imply generating system matrices at each step of the frequency sweep. In this contribution, an approximation is presented in order to allow for efficient frequency sweeps, for instance using Pade-based methods as extensively used by the authors in previous contributions. The performance and robustness of the proposed approximation is presented on an acoustic cases. A generic, robust way to truncate the acoustic domain efficiently is also proposed, tested on a range of test cases and for different frequency regions. It is shown that the approximation, based on a sub-interval approximation of a tuning parameter in the frequency range of interest, provides consistently very good results, close to the costly, original formulations. An a priori estimate of a robust choice for this tuning parameter is also introduced, together with a set of empirical recommendations associated with mesh size, domain size and truncation.

Place, publisher, year, edition, pages
2020. Vol. 2, p. 2508-2520
Series
Proceedings of the International Conference on Structural Dynamic, ISSN 2311-9020
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-290951Scopus ID: 2-s2.0-85098683092OAI: oai:DiVA.org:kth-290951DiVA, id: diva2:1531854
Conference
11th International Conference on Structural Dynamics, EURODYN 2020; 23-26 November 2020, Athens; Greece
Funder
Swedish Research Council, 2015-04925Vinnova, 2016-05195EU, Horizon 2020, 690699
Note

QC 20210302

Available from: 2021-02-26 Created: 2021-02-26 Last updated: 2023-03-30Bibliographically approved

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Rumpler, RomainMao, Huina

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