An iterative semi-implicit scheme with robust damping

DOI10.1016/j.jcp.2008.01.015zbMath1388.76210arXiv0707.1121OpenAlexW2104448512MaRDI QIDQ924455

N. F. Loureiro, Gregory W. Hammett

Publication date: 16 May 2008

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

Full work available at URL: https://arxiv.org/abs/0707.1121

zbMATH Keywords

symplectic methodsmagnetic reconnectionsemi-implicit methodsdispersive plasma wavesgyrofluidrobust damping

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (4)

Viriato: a Fourier-Hermite spectral code for strongly magnetized fluid-kinetic plasma dynamics ⋮ Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas ⋮ On a semi-implicit scheme for spectral simulations of dispersive magnetohydrodynamics ⋮ Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling

Uses Software

• PETSc
• NIMROD

Cites Work

• Unnamed Item
• The behaviour of the local error in splitting methods applied to stiff problems
• Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems
• A parallel algorithm for global magnetic reconnection studies
• Derivation of implicit difference schemes by the method of differential approximation
• A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
• Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
• Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions
• Accurate semi-implicit treatment of the Hall effect in magnetohydrodynamic computations
• Sawtooth instability in tokamak plasmas
• Stability of algorithms for waves with large flows
• Magnetic reconnection in plasmas
• A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• An implicit, nonlinear reduced resistive MHD solver
• Semi-implicit magnetohydrodynamic calculations
• Implicit-explicit methods for reaction-diffusion problems in pattern formation
• Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
• Gyrokinetic approach in particle simulation
• A class of first order factorization methods
• Magnetic Reconnection
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Iterative Solution Methods
• A Technique for Accelerating the Convergence of Restarted GMRES
• On the Construction and Comparison of Difference Schemes
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

This page was built for publication: An iterative semi-implicit scheme with robust damping