Details

Autor(en) / Beteiligte

• Gawlik, Evan S.
• Gay-Balmaz, François

Titel

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

Ist Teil von

• Journal of computational physics, 2022-02, Vol.450, p.110847, Article 110847

Ort / Verlag

Cambridge: Elsevier Inc

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• •A finite element method for inhomogeneous, incompressible MHD is presented.•It preserves energy, magnetic helicity, mass, and total squared density.•When the fluid density is constant, the method also preserves cross-helicity.•The method preserves incompressibility and divB=0 pointwise.•These quantities are preserved at both the spatially and temporally discrete levels. 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.