Regular ArticleHyperbolic Divergence Cleaning for the MHD Equations
References (49)
- et al.
Developing numerical fluxes with new sonic fix for MHD equations
J. Comput. Phys.
(1997) - et al.
On a finite-element method for solving the three-dimensional Maxwell equations
J. Comput. Phys.
(1993) - et al.
A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
J. Comput. Phys.
(1999) - et al.
Shock-capturing approach and nonevolutionary solutions in magnetohydrodynamics
J. Comput. Phys.
(1996) - et al.
An entropic solver for ideal Lagrangian magnetohydrodynamics
J. Comput. Phys.
(1999) - et al.
Note: The effect of nonzero ▿·B on the numerical solution of the magnetohydrodynamic equations
J. Comput. Phys.
(1980) - et al.
An upwind differencing scheme for the equations of ideal magnetohydrodynamics
J. Comput. Phys.
(1988) - et al.
Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
J. Comput. Phys.
(1997) - et al.
An approximate Riemann solver for ideal magnetohydrodynamics
J. Comput. Phys.
(1994) - et al.
A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws
J. Comput. Phys.
(1995)
A simple finite difference scheme for multidimensional magnetohydrodynamical equations
J. Comput. Phys.
(1998)
Polynomial upwind schemes for hyperbolic systems
C. R. Acad. Sci. Paris Ser. I, Math.
(1999)
Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics
J. Comput. Phys.
(1991)
The origin of spurious solutions in computational electromagnetics
J. Comput. Phys.
(1996)
A method for incorporating Gauss' law into electromagnetic PIC codes
J. Comput. Phys.
(1987)
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
J. Comput. Phys.
(2000)
Maxwell's equations when the charge conservation is not satisfied
C. R. Acad. Sci. Paris Ser. I, Math.
(1999)
A solution-adaptive upwind scheme for ideal magnetohydrodynamics
J. Comput. Phys.
(1999)
The ▿·B=0 constraint in shock-capturing magnetohydrodynamics codes
J. Comput. Phys.
(2000)
Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
J. Comput. Phys.
(1996)
Note: A higher-order Godunov method for the equations of ideal magnetohydrodynamics
J. Comput. Phys.
(1992)
Computational Investigations of Ideal Magnetohydrodynamic Plasmas with Discontinuities
(1993)
Linearized formulation of the Riemann problem for adiabatic and isothermal magnetohydrodynamics
Astrophys. J. Suppl.
(1998)
Total variation diminishing scheme for adiabatic and isothermal magnetohydrodynamics
Astrophys. J. Suppl.
(1998)
Cited by (1307)
A well-balanced discontinuous Galerkin method for the first–order Z4 formulation of the Einstein–Euler system
2024, Journal of Computational PhysicsA novel flux splitting based on wave-particle splitting for ideal magnetohydrodynamics
2024, Computers and FluidsThe galactic bubbles of starburst galaxies: The influence of galactic large-scale magnetic fields
2024, Astronomy and Astrophysics
View full text
Copyright © 2002 Elsevier Science (USA). All rights reserved.