An implicit, nonlinear reduced resistive MHD solver

DOI10.1006/jcph.2002.7015zbMath1139.76328OpenAlexW2091448994MaRDI QIDQ1601544

Luis Chacón, John M. Finn, Dana A. Knoll

Publication date: 26 June 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2002.7015

Mathematics Subject Classification ID

Related Items (44)

On balanced approximations for time integration of multiple time scale systems. ⋮ An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD ⋮ \texttt{Tusas}: a fully implicit parallel approach for coupled phase-field equations ⋮ Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code ⋮ A communication-avoiding implicit-explicit method for a free-surface ocean model ⋮ Robust preconditioners for incompressible MHD models ⋮ Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems ⋮ Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods ⋮ Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics ⋮ Numerical study of the plasma tearing instability on the resistive time scale ⋮ A comparison of implicit time integration methods for nonlinear relaxation and diffusion ⋮ A blended continuous-discontinuous finite element method for solving the multi-fluid plasma model ⋮ A scalable, fully implicit algorithm for the reduced two-field low-\(\beta\) extended MHD model ⋮ Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz ⋮ Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution ⋮ Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG ⋮ Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems ⋮ A 2D high-\(\beta\) hall MHD implicit nonlinear solver. ⋮ On a fully-implicit VMS-stabilized FE formulation for low Mach number compressible resistive MHD with application to MCF ⋮ Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations ⋮ Multigrid treatment of implicit continuum diffusion ⋮ Analysis of parallel finite element algorithm based on three linearization methods for the steady incompressible MHD flow ⋮ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. ⋮ XTOR-2F: a fully implicit Newton-Krylov solver applied to nonlinear 3D extended MHD in tokamaks ⋮ An iterative semi-implicit scheme with robust damping ⋮ An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm ⋮ The XTOR code for nonlinear 3D simulations of MHD instabilities in tokamak plasmas ⋮ A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions ⋮ Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics ⋮ Monolithic Multigrid Methods for Magnetohydrodynamics ⋮ An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization ⋮ Implicit time schemes for compressible fluid models based on relaxation methods ⋮ A non-staggered, conservative, finite-volume scheme for 3D implicit extended magnetohydrodynamics in curvilinear geometries ⋮ The SEL macroscopic modeling code ⋮ Self-adaptive time integration of flux-conservative equations with sources ⋮ Navier-Stokes hierarchies of reduced MHD models in Tokamak geometry ⋮ Variational integrators for reduced magnetohydrodynamics ⋮ ADI-SGS scheme on ideal magnetohydrodynamics ⋮ Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier--Stokes and MHD ⋮ Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations ⋮ Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD ⋮ High-order partitioned spectral deferred correction solvers for multiphysics problems ⋮ A fully implicit, nonlinear adaptive grid strategy ⋮ Hall MHD effects on the 2D Kelvin-Helmholtz/tearing instability

Uses Software

• PETSc
• SAMRAI
• IRMHD

Cites Work

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