A scalable, fully implicit algorithm for the reduced two-field low-\(\beta\) extended MHD model

DOI10.1016/j.jcp.2016.09.007zbMath1373.76340OpenAlexW2519317691MaRDI QIDQ1674701

A. Stanier, Luis Chacón

Publication date: 26 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.09.007

zbMATH Keywords

Jacobian-free Newton-Krylov solverimplicit algorithmsextended magnetohydrodynamicsphysics-based preconditioningparallel multigrid

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (7)

An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD ⋮ A multigrid AMR algorithm for the study of magnetic reconnection ⋮ A multilevel block preconditioner for the HDG trace system applied to incompressible resistive MHD ⋮ Multigrid treatment of implicit continuum diffusion ⋮ INVITED: Slow manifold reduction for plasma science ⋮ Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics ⋮ Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers

Uses Software

• Wesseling

Cites Work

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• Variational integrators for reduced magnetohydrodynamics
• A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
• An implicit, nonlinear reduced resistive MHD solver
• Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems
• A four-field model for tokamak plasma dynamics
• Inexact Newton Methods
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Magnetic Reconnection
• A Flexible Inner-Outer Preconditioned GMRES Algorithm

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