Electroconducting Sphere inside Unbounded Isotropic Matrix for Alegra Verification

Abstract

This report analyzes a nonlinear electroconducting sphere embedded in an unbounded linear isotropic matrix with a prescribed linear electric current at infinity. The exact analytical solution of this problem is reduced to solving a nonlinear algebraic equation. For the linear conductor we arrive at the explicit solution, which can be recommended for the verification purposes of ALEGRA code. The ALEGRA solution for one realization of the problem is shown to agree with the analytical solution to within a tiny fraction of the far-field values.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2020
Accession Number
AD1104264

Entities

People

  • Angel Rodriguez
  • John Niederhaus
  • Michael A. Michael A. Grinfeld
  • Pavel Grinfeld

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Conductivity
  • Current Density
  • Electric Current
  • Electric Fields
  • Electrical Conductivity
  • Electricity
  • Electromagnetic Fields
  • Equations
  • Far Field
  • Magnetic Fields
  • Materials
  • Simulations
  • Three Dimensional
  • Two Dimensional
  • Verification
  • Voltage

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.