An efficient solver for the equations of resistive MHD with spatially-varying resistivity
نویسندگان
چکیده
We regularize the variable coefficient Helmholtz equations arising from implicit time discretizations for resistive MHD, in a way that leads to a symmetric positive-definite system uniformly in the time step. Standard centered-difference discretizations in space of the resulting PDE leads to a method that is second-order accurate, and that can be used with multigrid iteration to obtain efficient solvers. 2008 Published by Elsevier Inc.
منابع مشابه
Eigenvalue Spectrum of MHD Modes in Cylindrical Tokamak Plasmas with Small Resistivity
For the understandings of the magnetohydrodynamic (MHD) characteristics in plasma, the spectrum of the resistive MHD modes are investigated in detail by solving the eigenvalue problem of the reduced MHD equations in cylindrical tokamak plasmas. The eigenvalues and eigenfunctions of the resistive MHD modes are clarified for small toroidal and poloidal mode numbers, and the discrete eigenvalues w...
متن کاملTwo-dimensional MHD model of the reconnection diffusion region
Magnetic reconnection is an important process providing a fast conversion of magnetic energy into thermal and kinetic plasma energy. In this concern, a key problem is that of the resistive diffusion region where the reconnection process is initiated. In this paper, the diffusion region is associated with a nonuniform conductivity localized to a small region. The nonsteady resistive incompressib...
متن کاملDependence of Single- and Multi-Helicity States on Θ and the Hartmann number in the Force-free Visco-resistive MHD Model
Converged computations with the DEBS code indicate that, within the force-free resistive MHD model in a doubly periodic cylinder with perfectly conducting boundary conditions, the appearance of single-helicity or multihelicity states is determined primarily by the Hartmann number, and is relatively independent of the pinch parameter or the degree of field reversal. 1 Similarity Scaling in Visco...
متن کاملHigher-order Global Regularity of an Inviscid Voigt-regularization of the Three-dimensional Inviscid Resistive Magnetohydrodynamic Equations
We prove existence, uniqueness, and higher-order global regularity of strong solutions to a particular Voigt-regularization of the three-dimensional inviscid resistive Magnetohydrodynamic (MHD) equations. Specifically, the coupling of a resistive magnetic field to the Euler-Voigt model is introduced to form an inviscid regularization of the inviscid resistive MHD system. The results hold in bot...
متن کاملOn the two-dimensional magnetic reconnection with nonuniform resistivity
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Comput. Physics
دوره 227 شماره
صفحات -
تاریخ انتشار 2008