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MULTIVARIATE PADÉ APPROXIMANTS FOR FINITE ELEMENT SOLUTIONS WITH COMPLEX PARAMETRIC DEPENDENCE
KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design. KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0002-6555-531X
Chair of Structural Mechanics, Technical University of Munich.
KTH, Superseded Departments (pre-2005), Vehicle Engineering. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.ORCID iD: 0000-0003-1855-5437
2019 (English)Conference paper, Published paper (Refereed)
Abstract [en]

Most engineering applications involving solutions by numerical methods are dependent on several parameters, whose impact on the solution may significantly vary from one to the other. At times an evaluation of these multivariate solutions may be required at the expense of a prohibitively high computational cost. In the present work, a multivariate finite element approach is proposed, allowing for a fast evaluation of parametric responses. It is based on the construction of a reduced basis spanning a subspace able to capture rough variations of the response. The method consists in an extension of the Well-Conditioned Asymptotic Waveform Evaluation (WCAWE) to multivariate problems, by an appropriate choice of derivative sequences, and a selection of the most relevant basis components. It is validated and demonstrated for its potential on a semi-industrial sized 3D application involving coupled poroelasticand internal acoustic domains.

Place, publisher, year, edition, pages
2019.
Keywords [en]
Reduced Order Model, Padé Approximants, Fast Frequency Sweeps, Finite Ele- ment Method.
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-266985ISBN: 978-618-82844-5-6 (print)OAI: oai:DiVA.org:kth-266985DiVA, id: diva2:1389352
Conference
COMPDYN 2019: 7 th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
Projects
PadéSweep, VR Grant 2015- 04925Centre for ECO2 Vehicle Design, VINNOVA Grant 2016- 05195
Funder
Vinnova, 2016-05195Swedish Research Council, 2015-04925
Note

QC 20200130

Available from: 2020-01-29 Created: 2020-01-29 Last updated: 2020-01-30Bibliographically approved

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fulltext(1146 kB)15 downloads
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Rumpler, RomainGöransson, Peter
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VinnExcellence Center for ECO2 Vehicle designMarcus Wallenberg Laboratory MWLVehicle Engineering
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