In this paper, we develop an efficient characteristic finite element method (FEM) for solving the magnetic induction equation in magnetohydrodynamics (MHD). We carry out numerical experiments on a two dimensional test case to investigate the influence of resistivity at different scales. In particular, our numerical results exhibit how the topological structure and energy of the magnetic field e...

In magnetohydrodynamics (MHD), there is a transfer of energy from the velocity field to magnetic in inertial range itself. As result, inertial-range fluxes and fields exhibit significant variations. Still, these variable satisfy several exact relations due conservation energy. this paper, using numerical simulations, we quantify MHD turbulence, as well verify relations. We also study Elsässer v...

We consider the three-dimensional incompressible free-boundary magnetohydrodynamics (MHD) equations in a bounded domain with surface tension on boundary. establish priori estimate for solutions Lagrangian coordinates $H^{3.5}$ regularity. To best of our knowledge, this is first result focusing ideal MHD tension. It worth pointing out that $1/2$-extra spatial regularity flow map $\eta$ no longer...

In this paper a particle-base model is used to visualize results of the magnetohydrodynamics (MHD) phenomena related to electromagnetic levitation (EML) and magnetic stirring. Using the theoretical model presented in Part I, a numerical algorithm for fluid flow simulation has been described. To struggle out the local dynamics, the position and velocity of each particle is visualized and the int...

The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathematical formulation is based upon the modified Darcy’s law. The analytical solution has been derived for the stream function and temperature under the assumptions of small wave number.The ...

The main idea of the present article is to introduce a new computational technique, explicitly, the modified Laplace Padé decomposition method (MLPDM) which is a recipe of Laplace transformation, decomposition technique, and rational polynomial to offer new solution mechanism of magnetohydrodynamics (MHD) flow of an steady viscous, incompressible nonlinear stretching sheet. A good harmony among...

In this paper, the unsteady magnetohydrodynamics (MHD) free convection flow of an incompressible and electrically conduction fluid over a stretching surface under the influence of Soret and Dufour effects with thermophresis has been investigated. The governing equations are solved numerically by using implicit finitedifference scheme. The results of skin friction, the Nusselt number and the She...

Abstract A particular type of dyadic model for the magnetohydrodynamics (MHD) with dominating forward energy cascade is studied. The includes intermittency dimension $\delta $ in nonlinear scales. It shown that when small, positive solution large initial data either MHD or Hall develops blowup finite time. Moreover, a class velocity components and small magnetic field components, we prove there...

[1] In order to better describe the space plasmas where pressure anisotropy has prominent effects, we extend the BATS-R-US magnetohydrodynamics (MHD) model to include anisotropic pressure. We implement the anisotropic MHD equations under the double adiabatic approximation with an additional pressure relaxation term into BATS-R-US and perform global magnetospheric simulations. The results from i...