Heisenberg spin equation equivalence to nonlinear Schrödinger equation recently demonstrated by Rogers and Schief , is applied to the investigation of vortex filaments in magnetohydrodynamics (MHD) dynamos. The use of Gauss-Mainard-Codazzi equations allows us to investigate in detail the influence of curvature and torsion of vortex filaments in the MHD dynamos. This application follows closely ...

Current-sheet formation near a hyperbolic magnetic neutral line in Hall magnetohydrodynamics (MHD) is investigated. An exact analytical solution is given. This solution shows a hastening of the current-sheet formation process at intermediate times by the Hall effect but subsequently a quenching by the Hall effect of the finite-time singularity exhibited in ideal MHD and hence a prevention of th...

Computational study of the macroscopic stability of plasmas is a challenging multi-scale problem. Implicit time integration can be used to relieve stability constraints due to fast Alfvén waves, and adaptive mesh refinement (AMR) can be used to resolve highly localized solution features. The strong nonlinearities and numerical stiffness of magnetohydrodynamics (MHD) models present further chall...

Keywords magnetohydrodynamics (MHD) –turbulence Using simulations of isotropically forced helical turbulence thec ontributions to kinetic and magnetic alpha effectsa re computed. It is shown that forthe parameterregimes considered in an earlierpublication(Brandenburg&Subramanian 2005), the expressions for isotropica nd anisotropic alpha effects give quantitatively similar results. Bothk inetic ...

Magnetohydrodynamics (MHD) studies the dynamics of electrically conducting fluids, involving Navier-Stokes equations coupled with Maxwell equations via Lorentz force and Ohm’s law. Monolithic methods, which solve fully coupled MHD systems, are computationally expensive. Partitioned methods, on the other hand, decouple the full system and solve subproblems in parallel, and thus reduce the comput...

We suggest an explanation for the twin kilohertz quasi-periodic oscillations (kHz QPOs) in low-mass X-ray binaries (LMXBs) based on magnetohydrodynamics (MHD) oscillation modes in neutron star magnetospheres. Including the effect of the neutron star spin, we derive several MHD wave modes by solving the dispersion equations, and propose that the coupling of the two resonant MHD modes may lead to...

We show that a recently proposed [J. Fleischer, P.H. Diamond, Phys. Rev. E 58, R2709 (1998)] one-dimensional Burgers-like model for magnetohydrodynamics (MHD) is in effect identical to existing models for drifting lines and sedimenting lattices. We use the model to demonstrate, contrary to claims in the literature, that the energy spectrum of MHD turbulence should be independent of mean magneti...

The authors present a higher-order Godunov method for the solution of the twoand three-dimensional equations of ideal magnetohydrodynamics (MHD). This work is based both on a suitable operator-split approximation to the full multidimensional equations, and on a one-dimensional Riemann solver. TIlls Riemann solver is sufficiently robust to handle the nonstrictly hyperbolic nature of the MHD equa...

Magnetohydrodynamics (MHD) simulations based on the ideal MHD equations have become a powerful tool for modeling phenomena in a wide range of applications including laboratory, astrophysical, and space plasmas. In general, high-resolution methods for solving the ideal MHD equations are computationally expensive and Beowulf clusters or even supercomputers are often used to run the codes that imp...

Title A Lattice Kinetic Scheme with Grid Refinement for 3D Resistive Magnetohydrodynamics Candidate Bryan R. Osborn Degree and Year Master of Science, 2004 Thesis Committee William D. Dorland, Chair Assistant Professor of Physics Adil B. Hassam Professor of Physics C. David Levermore Professor of Mathematics We develop, analyze, and numerically test a 3D lattice kinetic scheme for the resistive...