MICE: An Implicit Difference Scheme for MHD Calculations

Abstract

The report describes the MICE code, which uses new numerical technique for solving the one fluid MHD equations. Although the technique evolved from some of the general ideas developed by Harlow and Amsden in their ICE (Implicit, Continuous-Fluid, Eulerian) method, it has been extensively modified, and is best described as an implicit Lax-Wendroff technique. The approximation of time-step-splitting is used, which greatly simplifies the numerical solution. Some numerical results are presented for two test problems. The MICE computation of the early expansion and rise of a hot bubble in an exponential atmosphere is compared to previously published calculations of the same problem. The buoyant rise of a warm infinitely long cylinder is calculated and the shape of the boundary is compared to an exact solution obtained by G. McCartor of MRC. The agreement is satisfactory in both cases.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0757414

Entities

People

  • Frederic E. Fajen

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Altitude
  • Amplitude
  • Atmospheric Heave
  • Boundaries
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Geometry
  • High Altitude
  • Magnetic Fields
  • Magnetic Forces
  • Partial Differential Equations
  • Power Series
  • Three Dimensional
  • Two Dimensional
  • Wave Equations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Thermal Physics or Thermal Science.