Boundary Charge Layer and Current for Spherical Inclusion in Conducting System

Abstract

The steady-state current in a heterogeneous conducting system is considered. One of the goals is to generate a battery of exact solutions for Validation and Verification (V and V) purposes. These solutions are to be used for the electromagnetic software (as of now, for the Sandia package ALEGRA). The system consists of an isotropic unbounded matrix containing spherical inclusion (the inclusion can be isotropic or anisotropic and even nonlinear). This solution was suggested and used for V and V in technical reports published in 2020. The solutions of these previous reports, however, miss analysis of the boundary charge layer and the current in this layer. In this report, we establish these elements of the exact solution.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2021
Accession Number
AD1124083

Entities

People

  • Michael A. Michael A. Grinfeld
  • Pavel Grinfeld

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Charge Density
  • Conductivity
  • Department Of Defense
  • Electric Charge
  • Electric Current
  • Electric Fields
  • Electricity
  • Electromagnetic Fields
  • Electrostatic Fields
  • Equations
  • Inclusions
  • Information Operations
  • Layers
  • Magnetic Fields
  • Mathematics
  • Military Research
  • Steady State
  • Translations
  • Validation
  • Verification

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics.