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Quasi-3-D spectral wavelet method for a thermal quench simulation

Bundschuh, Jonas ; D’Angelo, Laura A. M. ; De Gersem, Herbert (2024)
Quasi-3-D spectral wavelet method for a thermal quench simulation.
In: Journal of Mathematics in Industry, 2021, 11 (1)
doi: 10.26083/tuprints-00023619
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Quasi-3-D spectral wavelet method for a thermal quench simulation
Language: English
Date: 8 April 2024
Place of Publication: Darmstadt
Year of primary publication: 11 October 2021
Place of primary publication: Berlin ; Heidelberg
Publisher: SpringerOpen
Journal or Publication Title: Journal of Mathematics in Industry
Volume of the journal: 11
Issue Number: 1
Collation: 19 Seiten
DOI: 10.26083/tuprints-00023619
Corresponding Links:
Origin: Secondary publication DeepGreen

The finite element method is widely used in simulations of various fields. However, when considering domains whose extent differs strongly in different spatial directions a finite element simulation becomes computationally very expensive due to the large number of degrees of freedom. An example of such a domain are the cables inside of the magnets of particle accelerators. For translationally invariant domains, this work proposes a quasi-3-D method. Thereby, a 2-D finite element method with a nodal basis in the cross-section is combined with a spectral method with a wavelet basis in the longitudinal direction. Furthermore, a spectral method with a wavelet basis and an adaptive and time-dependent resolution is presented. All methods are verified. As an example the hot-spot propagation due to a quench in Rutherford cables is simulated successfully.

Uncontrolled Keywords: Finite element methods, Hybrid discretizations, Spectral element methods, Wavelets, Quenches
Identification Number: Artikel-ID: 17
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-236195
Classification DDC: 500 Science and mathematics > 510 Mathematics
600 Technology, medicine, applied sciences > 621.3 Electrical engineering, electronics
Divisions: 18 Department of Electrical Engineering and Information Technology > Institute for Accelerator Science and Electromagnetic Fields
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
Date Deposited: 08 Apr 2024 12:28
Last Modified: 10 Apr 2024 06:07
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23619
PPN: 51700853X
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