A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\)

DOI10.1016/j.jcp.2021.110847OpenAlexW3114483120MaRDI QIDQ2134714

Evan S. Gawlik, François Gay-Balmaz

Publication date: 3 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04122

zbMATH Keywords

finite elementmagnetohydrodynamicshelicityenergy-preservingstructure-preservingexactly divergence-free

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)

Related Items (8)

A vector penalty-projection approach for the time-dependent incompressible magnetohydrodynamics flows ⋮ Efficient interior penalty discontinuous Galerkin projection method with unconditional energy stability and second-order temporal accuracy for the incompressible magneto-hydrodynamic system ⋮ Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations ⋮ A compatible finite element discretisation for the nonhydrostatic vertical slice equations ⋮ Two‐level methods based on the Arrow–Hurwicz iteration for the steady incompressible magnetohydrodynamic system ⋮ A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations ⋮ Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics ⋮ Geometric numerical integration. Abstracts from the workshop held March 28 -- April 3, 2021 (hybrid meeting)

Cites Work

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• Splitting-Based Structure Preserving Discretizations for Magnetohydrodynamics
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