A Numerical Approach to Solving the Hall MHD Equations Including Diamagnetic Drift (Preprint)

Abstract

In this paper a second order discontinuous Galerkin method for the Hall MHD equations including diamagnetic drift is developed. The equations are formulated in gas dynamic conservative form and tested on the Brio and Wu MHD shock as well as the GEM challenge magnetic reconnection problem. Solutions compare well with previously published results. The algorithm is easily extended to general geometries.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 19, 2008
Accession Number
ADA489574

Entities

People

  • J. Loverich
  • J.-l. Cambier

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Dispersion Relations
  • Electron Energy
  • Electrons
  • Energy
  • Equations
  • Fluids
  • Galerkin Method
  • Gaussian Quadrature
  • Geometry
  • High Resolution
  • Kinetic Energy
  • Magnetic Fields
  • Simulations
  • Two Dimensional
  • Z-Pinches

Readers

  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Space/Atmospheric Physics.