Helicity-conservative finite element discretization for incompressible MHD systems

Kaibo Hu; Young Ju Lee; Jinchao Xu

doi:10.1016/j.jcp.2021.110284

Helicity-conservative finite element discretization for incompressible MHD systems

Kaibo Hu, Young Ju Lee, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English (US)
Journal	Journal of Computational Physics
Volume	436
DOIs	https://doi.org/10.1016/j.jcp.2021.110284
State	Published - Jul 1 2021
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)
Computer Science Applications

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10.1016/j.jcp.2021.110284

Cite this

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title = "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.",

author = "Kaibo Hu and Lee, {Young Ju} and Jinchao Xu",

note = "Generated from Scopus record by KAUST IRTS on 2023-02-15",

year = "2021",

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doi = "10.1016/j.jcp.2021.110284",

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AU - Hu, Kaibo

AU - Lee, Young Ju

AU - Xu, Jinchao

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2021/7/1

Y1 - 2021/7/1

N2 - 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.

AB - 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.

UR - https://linkinghub.elsevier.com/retrieve/pii/S0021999121001790

UR - http://www.scopus.com/inward/record.url?scp=85103109070&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2021.110284

DO - 10.1016/j.jcp.2021.110284

M3 - Article

SN - 1090-2716

VL - 436

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Helicity-conservative finite element discretization for incompressible MHD systems

Abstract

Bibliographical note

ASJC Scopus subject areas

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