A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0

Evan S. Gawlik; François Gay-Balmaz

doi:10.1016/j.jcp.2021.110847

A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0

Evan S. Gawlik
, François Gay-Balmaz

University of Hawaii

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We construct a structure-preserving finite element method and time-stepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, cross-helicity (when the fluid density is constant), magnetic helicity, mass, total squared density, pointwise incompressibility, and the constraint divB=0 to machine precision, both at the spatially and temporally discrete levels.

langue originale	Anglais
Numéro d'article	110847
journal	Journal of Computational Physics
Volume	450
Les DOIs	https://doi.org/10.1016/j.jcp.2021.110847
état	Publié - 1 févr. 2022

Accès au document

10.1016/j.jcp.2021.110847

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{1ea400bea4ea43e8b4929f2579e12b36,

title = "A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0",

abstract = "We construct a structure-preserving finite element method and time-stepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, cross-helicity (when the fluid density is constant), magnetic helicity, mass, total squared density, pointwise incompressibility, and the constraint divB=0 to machine precision, both at the spatially and temporally discrete levels.",

keywords = "Energy-preserving, Exactly divergence-free, Finite element, Helicity, Magnetohydrodynamics, Structure-preserving",

author = "Gawlik, \{Evan S.\} and Fran{\c c}ois Gay-Balmaz",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2022",

month = feb,

day = "1",

doi = "10.1016/j.jcp.2021.110847",

language = "English",

volume = "450",

journal = "Journal of Computational Physics",

issn = "0021-9991",

}

TY - JOUR

T1 - A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0

AU - Gawlik, Evan S.

AU - Gay-Balmaz, François

PY - 2022/2/1

Y1 - 2022/2/1

N2 - We construct a structure-preserving finite element method and time-stepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, cross-helicity (when the fluid density is constant), magnetic helicity, mass, total squared density, pointwise incompressibility, and the constraint divB=0 to machine precision, both at the spatially and temporally discrete levels.

AB - We construct a structure-preserving finite element method and time-stepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, cross-helicity (when the fluid density is constant), magnetic helicity, mass, total squared density, pointwise incompressibility, and the constraint divB=0 to machine precision, both at the spatially and temporally discrete levels.

KW - Energy-preserving

KW - Exactly divergence-free

KW - Finite element

KW - Helicity

KW - Magnetohydrodynamics

KW - Structure-preserving

UR - https://www.scopus.com/pages/publications/85120415286

U2 - 10.1016/j.jcp.2021.110847

DO - 10.1016/j.jcp.2021.110847

M3 - Article

AN - SCOPUS:85120415286

SN - 0021-9991

VL - 450

JO - Journal of Computational Physics

JF - Journal of Computational Physics

M1 - 110847

ER -

A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation

A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and div B = 0