Bundschuh, Jonas ; D'Angelo, Laura A. M. ; De Gersem, Herbert (2021)
Quasi-3-D Spectral Wavelet Method for a Thermal Quench Simulation.
In: Journal of Mathematics in Industry, 11 (1)
doi: 10.1186/s13362-021-00113-8
Article, Bibliographie
This is the latest version of this item.
Abstract
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.
| Item Type: | Article |
|---|---|
| Erschienen: | 2021 |
| Creators: | Bundschuh, Jonas ; D'Angelo, Laura A. M. ; De Gersem, Herbert |
| Type of entry: | Bibliographie |
| Title: | Quasi-3-D Spectral Wavelet Method for a Thermal Quench Simulation |
| Language: | English |
| Date: | 1 December 2021 |
| Publisher: | Springer |
| Journal or Publication Title: | Journal of Mathematics in Industry |
| Volume of the journal: | 11 |
| Issue Number: | 1 |
| DOI: | 10.1186/s13362-021-00113-8 |
| Corresponding Links: | |
| Abstract: | 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. |
| Additional Information: | Art.No.: 17 ; TEMF-Pub-DB TEMF002882 |
| Divisions: | 18 Department of Electrical Engineering and Information Technology 18 Department of Electrical Engineering and Information Technology > Institute for Accelerator Science and Electromagnetic Fields Exzellenzinitiative Exzellenzinitiative > Graduate Schools Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE) |
| Date Deposited: | 30 Mar 2022 07:48 |
| Last Modified: | 11 Apr 2024 09:44 |
| PPN: | 496248553 |
| Export: | |
| Suche nach Titel in: | TUfind oder in Google |
Available Versions of this Item
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Quasi-3-D spectral wavelet method for a thermal quench simulation. (deposited 08 Apr 2024 12:28)
- Quasi-3-D Spectral Wavelet Method for a Thermal Quench Simulation. (deposited 30 Mar 2022 07:48) [Currently Displayed]
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