Modeling of Stability of Electrostatic and Magnetostatic Systems

Abstract

Electromagnetic systems undergo a variety of different instabilities. A broad class of those instabilities shows up in the static or quasi-static regime. For special, highly symmetric shapes (spheres or flat layers), the parameters, corresponding to the occurrence of those instabilities, can be investigated rather easily using analytical methods. Slightly postcritical regimes require much more sophisticated and cumbersome but still analytical calculations. Strongly postcritical regimes always require very heavy computer work and rather sophisticated methodologies. In this report we present a computational algorithm allowing one to address some strongly nonlinear regimes. The algorithm is based on the variational formulation of the problems under study and presented on the Rayleigh instability of a charged liquid conductor phenomenon.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2017
Accession Number
AD1036077

Entities

People

  • Michael A. Michael A. Grinfeld
  • Pavel Grinfeld

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Charge Density
  • Charged Particles
  • Computers
  • Electric Charge
  • Geometry
  • Instability
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Surface Energy
  • Surface Tension
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Systems Analysis and Design