In two previous papers (Price & Monaghan 2004a,b) (papers I,II) we have described an algorithm for solving the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle Hydrodynamics (SPH) method. The algorithm uses dissipative terms in order to capture shocks and has been tested on a wide range of one dimensional problems in both adiabatic and isothermal MHD. In this paper we investi...

When magnetic energy density is much larger than that of matter, as in pulsar/black hole magnetospheres, the medium becomes force-free and we need relativity to describe it. As in non-relativistic magnetohydrodynamics (MHD), Alfvénic MHD turbulence in the relativistic limit can be described by interactions of counter-traveling wave packets. In this paper we numerically study strong imbalanced M...

We describe a method for incorporating ambipolar diffusion in the strong coupling approximation into a multidimensional magnetohydrodynamics code based on the total variation diminishing scheme. Contributions from ambipolar diffusion terms are included by explicit finite difference operators in a fully unsplit way, maintaining second order accuracy. The divergence-free condition of magnetic fie...

Abstract We review the progress made, during last decade, on analysis of formal stability for Hamiltonian fluid models plasmas, carried out by means energy-Casimir (EC) method. The begins with a tutorial section describing essential concepts formalism and EC method, which will be frequently used in article. Subsequently, nonlinear applied to reduced magnetohydrodynamics (MHD) is described, as p...

We present a statistical analysis on the variability of incompressible energy cascade rate in solar wind around Mars, making use an exact relation for fully developed turbulence and more than five years Mars Atmosphere Volatile EvolutioN (MAVEN) observations. Using magnetic field plasma data, we compute magnetohydrodynamics (MHD) scales pristine wind. From our results, conclude that decreases a...

The magnetohydrodynamics (MHD) equations are used to model the flow of electrically conducting fluids in such applications as liquid metals and plasmas. This system of non-self adjoint, nonlinear PDEs couples the Navier-Stokes equations for fluids and Maxwell’s equations for electromagnetics. There has been recent interest in fully coupled solvers for the MHD system because they allow for fast ...

In this paper, we develop a lattice Boltzmann model for relativistic magnetohydrodynamics (MHD). Even though the model is derived for resistive MHD, it is shown that it is numerically robust even in the high conductivity (ideal MHD) limit. In order to validate the numerical method, test simulations are carried out for both ideal and resistive limits, namely the propagation of Alfvén waves in th...

This paper investigates the influence of slip condition on unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible third grade fluid with temperature dependent viscosity. Both cases of lift and drainage problems are considered. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. Exact analytic solutions...

We study the evolution of a stochastic helical magnetic field generated in the early Universe after the electroweak phase transition, using standard magnetohydrodynamics (MHD). We find how the coherence length ξ, magnetic energy EM and magnetic helicity H evolve with time. We show that the self-similarity of the magnetic power spectrum alone implies that ξ ∼ t1/2. This in turn implies that magn...

We consider the motion of two inviscid, compressible, and electrically conducting fluids separated by an interface across which there is no fluid flow in presence surface tension. The magnetic field supposed to be nowhere tangential interface. This leads characteristic free boundary problem for contact discontinuities with tension three-dimensional ideal compressible magnetohydrodynamics (MHD)....