A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach
From MaRDI portal
Publication:551039
DOI10.1016/j.jcp.2011.04.020zbMath1419.76470OpenAlexW2090444965MaRDI QIDQ551039
D. Vanden Abeele, Andrea Lani, Mehmet Sarp Yalim, Tiago Quintino, Herman Deconinck
Publication date: 13 July 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.04.020
ideal magnetohydrodynamicsartificial compressibilityhyperbolic divergence cleaningimplicit time integration strategytime-accurate
Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items
An object-oriented implementation of a parallel Monte Carlo code for radiation transport, High-order central ENO finite-volume scheme for ideal MHD, A GPU-enabled implicit finite volume solver for the ideal two-fluid plasma model on unstructured grids, An FCT finite element scheme for ideal MHD equations in 1D and 2D, An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations, A GPU-enabled finite volume solver for global magnetospheric simulations on unstructured grids, A fully-implicit finite-volume method for multi-fluid reactive and collisional magnetized plasmas on unstructured meshes, Constrained hyperbolic divergence cleaning in smoothed particle magnetohydrodynamics with variable cleaning speeds, THE ARTIFICIAL COMPRESSIBILITY APPROXIMATION FOR MHD EQUATIONS IN UNBOUNDED DOMAIN, Fully-implicit finite volume method for the ideal two-fluid plasma model
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation
- Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics
- A method for incorporating Gauss' law into electromagnetic PIC codes
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method.
- A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- An unsplit Godunov method for ideal MHD via constrained transport
- Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
- A numerical method for solving incompressible viscous flow problems
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- Computational Science – ICCS 2005
- Stationary two-dimensional magnetohydrodynamic flows with shocks: Characteristic analysis and grid convergence study
- A note on magnetic monopoles and the one-dimensional MHD Riemann problem.
