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A perfectly matched layer formulation adapted for fast frequency sweeps of exterior acoustics finite element models
Univ Nantes, Dept Mech Mat & Civil Engn, Ecole Cent Nantes, Nantes, France..
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.ORCID iD: 0000-0002-6555-531X
2019 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 398, article id UNSP 108878Article in journal (Refereed) Published
Abstract [en]

Effective treatment of unbounded domains using artificial truncating boundaries are essential in numerical simulation, e.g. using the Finite Element Method (FEM). Among these, Perfectly Matched Layers (PML) have proved to be particularly efficient and flexible. 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 paper, an approximation is proposed in order to allow for efficient frequency sweeps. The performance and robustness of the proposed approximation is presented on 2D and 3D 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. All rights reserved.

Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE , 2019. Vol. 398, article id UNSP 108878
Keywords [en]
PML, Absorbing boundary condition, Fast frequency sweep, Finite element method, Exterior vibro-acoustics
National Category
Mechanical Engineering
Research subject
Applied and Computational Mathematics, Numerical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-262755DOI: 10.1016/j.jcp.2019.108878ISI: 000488000100020Scopus ID: 2-s2.0-85070950048OAI: oai:DiVA.org:kth-262755DiVA, id: diva2:1365013
Note

QC 20191023

Available from: 2019-10-23 Created: 2019-10-23 Last updated: 2019-12-03Bibliographically approved

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Mao, HuinaRumpler, Romain

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