Magnetohydrodynamics (MHD) provides an approximate description of a great variety of processes in space physics. Accurate numerical solutions of the MHD equations are still a challenge, but in the past decade a number of robust methods have appeared. Once these techniques made the direct solution of MHD equations feasible, a number of global three-dimensional models were designed and applied to...

In this paper two theoretical approaches for the calculation of the rate of quasi-stationary, twodimensional magnetic reconnection with nonuniform anomalous resistivity are considered in the framework of incompressible magnetohydrodynamics (MHD). In the first, “global” equations approach the MHD equations are approximately solved for a whole reconnection layer, including the upstream and downst...

Magnetohydrodynamics (MHD) is a model of plasma physics that treats the plasma as a charged fluid. As a result, the set of partial differential equations that describe this model are a time-dependent, nonlinear system of equations. Thus, the equations can be difficult to solve and efficient numerical algorithms are needed. This work shows the use of such an efficient algorithm on the incompress...

The paper considers dynamo generated by a shallow fluid layer in celestial body (planet or star). This is based on the extra invariant for interacting magnetic Rossby waves. magnetohydrodynamics (MHD) linearized background of strong toroidal field. used to show that field maintained.

The pseudospectral method is a highly accurate numerical scheme suitable for turbulence simulations. We have developed an open-source code, \textsc{\textsf{Calliope}}, which adopts the P3DFFT library \citep{Pekurovsky2012} to perform fast Fourier transform with two-dimensional (pencil) decomposition of grids. \textsc{\textsf{Calliope}} can solve incompressible magnetohydrodynamics (MHD), isothe...

We describe our experience using NVIDIA’s CUDA (Compute Unified Device Architecture) C programming environment to implement a two-dimensional second-order MUSCL-Hancock ideal magnetohydrodynamics (MHD) solver on a GTX 480 Graphics Processing Unit (GPU). Taking a simple approach in which the MHD variables are stored exclusively in the global memory of the GTX 480 and accessed in a cache-friendly...

We present simulations of the propagation of magnetized jets. This work differs from previous studies in that the cross-sectional distributions of the jets’s state variables are derived from analytical models for magneto-centrifugal launching. The source is a magnetized rotator whose properties are specfied as boundary conditions. The jets in these simulations are considerably more complex than...

We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve magnetic and cross helicity, energy law Gauss at discrete level. The variables are discretized as differential forms in a de Rham complex. present numerical tests to show performance of algorithm.

Magnetohydrodynamics (MHD) is the study of the interaction between moving, conducting fluids and magnetic fields. In this paper, the discussion is restricted to incompressible, viscous and electrically conducting fluids through pipes and ducts under an imposed uniform, oblique magnetic field. The MHD issues have become increasingly important because of the practical engineering applications suc...

We study the Hα emission from jets using two-dimensional axisymmetrical simulations. We compare the emission obtained from hydrodynamic (HD) simulations with that obtained from magnetohydrodynamics (MHD) simulations. The magnetic field is supposed to be present in the jet only, and with a toroidal configuration. The simulations have time-dependent ejection velocities and different intensities f...