
ERATO
 Referenced in 39 articles
[sw11922]
 described by the ideal linearized magnetohydrodynamic (MHD) equations. The plasma is considered ... calculated by linearizing the ideal MHD equations. Any mode (unstable or stable) of the spectrum ... variational form of the 2D ideal MHD equations is treated by a finite hybrid element...

XTOR
 Referenced in 19 articles
[sw03221]
 extended magnetohydrodynamic (MHD) equations in toroidal geometry is presented. The numerical method is discussed with ... physics in the model includes resistive MHD, anisotropic thermal diffusion and some neoclassical effects ... ideal and the resistive MHD parts of the equations are advanced semiimplicitly and then ... limited by the departure of the nonlinear MHD dynamics from the linear...

CHEASE
 Referenced in 17 articles
[sw03206]
 CHEASE solves the GradShafranov equation for the MHD equilibrium of a Tokamaklike plasma...

MAP
 Referenced in 7 articles
[sw11471]
 several optional numerical schemes for computing the MHD part, namely, modified Mac Cormack Scheme ... step, componentwise schemes for hyperbolic conservative equations. The total variation diminishing (TVD) limiters ... extended generalized Lagrange multiplier (EGLM) MHD equations to reduce the nondivergence free error produced...

XTOR2F
 Referenced in 7 articles
[sw01030]
 solves a set of extended magnetohydrodynamic (MHD) equations in toroidal tokamak geometry. In the original ... methods of solution for nonlinear system of equations. After addressing the sensitive issue of preconditioning ... test case within the framework of resistive MHD including anisotropic thermal transport. A convergence study...

PDETWO
 Referenced in 17 articles
[sw03205]
 PDETWO code to nonideal MHDlike systems of equations: Relaxation, accuracy and boundary conditions...

HERACLES
 Referenced in 13 articles
[sw13553]
 fixed grids to solve the equations of hydrodynamics, MHD, radiative transfer and gravity. This software...

MOCCT
 Referenced in 10 articles
[sw08475]
 MOCCT: A numerical technique for astrophysical MHD. Magnetic fields are important components of many astrophysical ... with numerical simulations of the equations of magnetohydrodynamics (MHD). We briefly review the MHD assumptions ... some of the problems to which MHD codes are being applied. We describe in detail ... intermediate time levels for the induction equation and for the Lorentz force. The advantages...

Viriato
 Referenced in 3 articles
[sw22282]
 which reduce to the standard ReducedMHD equations in the appropriate limit ... kinetic reduced MHD (KRMHD) equations (Schekochihin et al., 2009). Two main applications of these equations...

GRADSPMHD
 Referenced in 3 articles
[sw19943]
 GRADSPMHD: a parallel MHD code based on the SPH formalism. We present GRADSPMHD, a completely ... formalism. The implementation of the equations of SPMHD in the “GRADh” formalism assembles known ... including the derivation of the discretized MHD equations from a variational principle, the inclusion...

Racoon
 Referenced in 16 articles
[sw08867]
 timedependent Euler equations in compressible gas dynamics or MagnetoHydrodynamics (MHD) and similar models ... threedimensional test computations for the Euler equations have been carried out and show good...

FINESSE
 Referenced in 8 articles
[sw09199]
 FINESSE: Axisymmetric MHD equilibria with flow. The FINESSE code (finite element solver for stationary equilibria ... such flowing equilibria. The nonlinear partial differential equation for the poloidal magnetic flux is solved...

CARMENMHD
 Referenced in 1 article
[sw39246]
 adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space ... issues of the open source code CARMENMHD are discussed. To illustrate its precision...

GMWB3DSLC
 Referenced in 7 articles
[sw18132]
 gyrokinetic equations. Although the kinetic description is more accurate than fluid models (MHD, gyrofluid ... like weak solutions of kinetic collisionless equations, which allow to reduce the full kinetic Vlasov...

NDSPMHD
 Referenced in 45 articles
[sw10435]
 then show how to interpret these equations using the basic SPH interpolation formulae and highlight ... tensile instability, formulating dissipative terms for MHD shocks and enforcing the divergence constraint...

MAGMA
 Referenced in 4 articles
[sw10436]
 MHD) code that is based on the smoothed particle hydrodynamics (SPH) method. The equations ... both the hydrodynamic and the gravitational acceleration equations. The evolution of the magnetic field ... with the fluid and thus guarantee the MHD fluxfreezing condition. This formulation is equivalent...

AEGIS
 Referenced in 10 articles
[sw02688]
 independent solutions of the Euler–Lagrange equations solved by the adaptive shooting. A multipleregion ... independent solutions. Benchmarks with other MHD codes show good agreement. Because it is adaptive...

CERANSMHD
 Referenced in 3 articles
[sw22767]
 CERANSMHD code has been used to solve the governing resistive magnetohydrodynamic equations discretized...

GYGLES
 Referenced in 7 articles
[sw17824]
 extracted without approximation from the equations, which reduces drastically the numerical resolution needed. The code ... very short toroidal wavelengths, can treat realistic MHD equilibria of any size, and runs...

ECOM
 Referenced in 6 articles
[sw16817]
 fast and accurate solver for toroidal axisymmetric MHD equilibria. We present ECOM (Equilibrium solver ... combines conformal mapping and Fourier and integral equation methods on the unit disk to achieve...