Helicity-conservative finite element discretization for incompressible MHD systems
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Publication:2131073
DOI10.1016/j.jcp.2021.110284OpenAlexW3135807520MaRDI QIDQ2131073
Young-Ju Lee, Kaibo Hu, Jin-Chao Xu
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07516
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)
Related Items (8)
An Arbitrary Order and Pointwise Divergence-Free Finite Element Scheme for the Incompressible 3D Navier–Stokes Equations ⋮ A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\) ⋮ A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations. I: Periodic domains ⋮ A vector penalty-projection approach for the time-dependent incompressible magnetohydrodynamics flows ⋮ Error estimates of \textbf{H}(div)-conforming method for nonstationary magnetohydrodynamic system ⋮ Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations ⋮ 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
Uses Software
Cites Work
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