• RIEMANN

• Referenced in 69 articles [sw09351]
• HLLE Riemann solver: application to Euler and magnetohydrodynamic flows... We also focus on the construction ... multidimensionally upwinded electric fields for divergence-free magnetohydrodynamical (MHD) flows. A robust and efficient second...

• ZEUS

• Referenced in 48 articles [sw03107]
• ZEUS code for astrophysical magnetohydrodynamics: New extensions and applications. We give a brief review ... widely used ZEUS code for astrophysical magnetohydrodynamics (MHD). Extensions of the numerical methods to treat...

• NDSPMHD

• Referenced in 45 articles [sw10435]
• Smoothed particle hydrodynamics and magnetohydrodynamics. This paper presents an overview and introduction to smoothed particle ... hydrodynamics and magnetohydrodynamics in theory and in practice. Firstly, we give a basic grounding...

• ERATO

• Referenced in 39 articles [sw11922]
• like plasma described by the ideal linearized magnetohydrodynamic (MHD) equations. The plasma is considered...

• Athena

• Referenced in 36 articles [sw08477]
• grid-based code for astrophysical magnetohydrodynamics (MHD). It was developed primarily for studies...

• ECHO

• Referenced in 22 articles [sw22269]
• conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics. We present a new numerical ... time dependent three-dimensional general relativistic magnetohydrodynamics (GRMHD) and magnetodynamics (GRMD). ECHO is aimed...

• HARM

• Referenced in 21 articles [sw08474]
• HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics We describe a conservative, shock-capturing scheme ... evolving the equations of general relativistic magnetohydrodynamics. The fluxes are calculated using the Harten...

• NIRVANA

• Referenced in 29 articles [sw01044]
• equations of time-dependent, non-relativistic, compressible magnetohydrodynamics on Cartesian/cylindrical/spherical grids. NIRVANA provides adaptive mesh...

• NIMROD

• Referenced in 26 articles [sw18086]
• NIMROD solves the extended magnetohydrodynamic equations using: Spectral finite element discretization in two dimensions, Finite...

• WhiskyMHD

• Referenced in 13 articles [sw01983]
• numerical code for general relativistic magnetohydrodynamics The accurate modelling of astrophysical scenarios involving compact objects ... equations together with those of general-relativistic magnetohydrodynamics. We present a new numerical code developed ... solve the full set of general-relativistic magnetohydrodynamics equations in a dynamical and arbitrary spacetime...

• GFORCE

• Referenced in 21 articles [sw06607]
• Euler equations and for the equations of magnetohydrodynamics...

• XTOR

• Referenced in 19 articles [sw03221]
• which solves a set of the extended magnetohydrodynamic (MHD) equations in toroidal geometry is presented...

• AEGIS

• Referenced in 10 articles [sw02688]
• AEGIS: An adaptive ideal-magnetohydrodynamics shooting code for axisymmetric plasma stability. A new linear ideal ... magnetohydrodynamics stability code for axisymmetric plasmas, AEGIS, is described. The AEGIS code employs adaptive shooting...

• MOCCT

• Referenced in 10 articles [sw08475]
• with numerical simulations of the equations of magnetohydrodynamics (MHD). We briefly review the MHD assumptions...

• iPIC3D

• Referenced in 9 articles [sw18145]
• enables kinetic plasma simulations at magnetohydrodynamics time scales. Simulations of magnetic reconnection in plasma...

• GATO

• Referenced in 8 articles [sw08580]
• code computes the growth rate of ideal magnetohydrodynamic instabilities in axisymmetric geometries with internal separatrices...

• FINESSE

• Referenced in 8 articles [sw09199]
• element solver for stationary equilibria) computes axisymmetric magnetohydrodynamic equilibria in poloidal elliptic flow regimes...

• WHAM

• Referenced in 8 articles [sw18138]
• often accurately modelled by the relativistic magnetohydrodynamic (MHD) approximation. Time-dependent numerical MHD simulations have...

• XTOR-2F

• Referenced in 7 articles [sw01030]
• XTOR-2F solves a set of extended magnetohydrodynamic (MHD) equations in toroidal tokamak geometry...

• IllinoisGRMHD

• Referenced in 7 articles [sw13418]
• equations of general relativistic (ideal) magnetohydrodynamics (GRMHD) for the magnetized fluids. Over the past decade...