A numerical study of steady-state, fully developed, MHD duct flows is presented for the case of an applied transverse magnetic field and a two-dimensional variation of the flow parameters in the plane perpendicular to the flow direction, with no variations in fluid properties. Solutions are found for (i) rectangular ducts with no obstacles and (ii) rectangular ducts containing thin flat plates,...

We consider axisymmetric relativistic jets with a toroidal magnetic field and an ultrarelativistic equation of state, with the goal of studying the lateral structure of jets whose pressure is matched to the pressure of the medium through which they propagate. We find all self-similar steady-state solutions of the relativistic MHD equations for this setup. One of the solutions is the case of a p...

Closed field line confinement systems can develop convective cells when the MHD interchange stability criterion is violated. Using a previously derived set of reduced equations [ V.P. Pastukhov and N.V. Chudin, Plasma Physics Reports 27, 907 (2001)] it is shown that a true steady state solution can exist. For an assumed large-scale vortex pattern the plasma pressure profile that is implied by t...

Magnetohydrodynamic (MHD) systems can be strongly nonlinear (turbulent) when their kinetic and magnetic Reynolds numbers are high, as is the case in many astrophysical and space plasma flows. Unfortunately these high Reynolds numbers are typically much greater than those currently attainable in numerical simulations of MHD turbulence. A natural question to ask is how can researchers be sure tha...

We have developed a numerical algorithm and computational software for the study of magnetohydrodynamics (MHD) of free surface flows at low magnetic Reynolds numbers. The governing system of equations is a coupled hyperbolic/elliptic system in moving and geometrically complex domains. The numerical algorithm employs the method of front tracking for material interfaces, high resolution hyperboli...

We present here a simple and general non-parametrized entropy-fix for the computation of fluid flows involving sonic points in rarefaction waves. It enables to improve the stability and the accuracy of approximate Riemann solvers. It is also applied to MHD flows. To cite this article: Author, C. R. Mecanique xxx (2009). Résumé Une correction entropique non paramétrique simple pour les solveurs ...