Journal article
Helicity-conservative finite element discretization for incompressible MHD systems
- Abstract:
- We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve the magnetic and cross helicity, the energy law and the magnetic Gauss law at the discrete level. The variables are discretized as discrete differential forms in a de Rham complex. We present numerical tests to show the performance of the algorithm.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 5.4MB, Terms of use)
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- Publisher copy:
- 10.1016/j.jcp.2021.110284
Authors
+ American Chemical Society
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- Funder identifier:
- https://ror.org/059dqb057
- Grant:
- 57552-ND9
- Publisher:
- Elsevier
- Journal:
- Journal of Computational Physics More from this journal
- Volume:
- 436
- Article number:
- 110284
- Publication date:
- 2021-03-17
- DOI:
- EISSN:
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1090-2716
- ISSN:
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0021-9991
- Language:
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English
- Keywords:
- Pubs id:
-
2282284
- Local pid:
-
pubs:2282284
- Source identifiers:
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W3135807520
- Deposit date:
-
2026-08-10
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Inc.
- Copyright date:
- 2021
- Rights statement:
- © 2021 Elsevier Inc. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at https://dx.doi.org/10.1016/j.jcp.2021.110284
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