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)
Article number	110284
Journal	Journal of Computational Physics
Volume	436
DOIs	https://doi.org/10.1016/j.jcp.2021.110284
State	Published - Jul 1 2021

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2021.110284

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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",

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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.

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JO - Journal of Computational Physics

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Helicity-conservative finite element discretization for incompressible MHD systems

Abstract

All Science Journal Classification (ASJC) codes

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