A decoupled, unconditionally energy-stable and conservative finite element algorithm for a constrained transport model of the incompressible MHD equations

DOI10.1016/j.aml.2023.108905MaRDI QIDQ6141006

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Publication date: 2 January 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

divergence-free methodfluid/electromagnetic field decoupling

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

• Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• A constrained transport divergence-free finite element method for incompressible MHD equations
• An efficient and modular grad-div stabilization
• An overview of projection methods for incompressible flows
• A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. II: On an arbitrary collocated mesh
• A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Finite Element Methods for Navier-Stokes Equations
• A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence
• On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

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