Assessment of ALEGRA Computation for Magnetostatic Configurations

Journal Article · Tue Mar 01 00:00:00 EST 2016 · ACES Journal

OSTI ID:1430897

Grinfeld, Michael ^[1]; Niederhaus, John Henry ^[2]; Porwitzky, Andrew ^[1]

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1. The U.S. Army Research Laboratory, Aberdeen Proving Ground, MD (United States)
2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Here, a closed-form solution is described here for the equilibrium configurations of the magnetic field in a simple heterogeneous domain. This problem and its solution are used for rigorous assessment of the accuracy of the ALEGRA code in the quasistatic limit. By the equilibrium configuration we understand the static condition, or the stationary states without macroscopic current. The analysis includes quite a general class of 2D solutions for which a linear isotropic metallic matrix is placed inside a stationary magnetic field approaching a constant value H_i° at infinity. The process of evolution of the magnetic fields inside and outside the inclusion and the parameters for which the quasi-static approach provides for self-consistent results is also explored. Lastly, it is demonstrated that under spatial mesh refinement, ALEGRA converges to the analytic solution for the interior of the inclusion at the expected rate, for both body-fitted and regular rectangular meshes.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); ARL
• Grant/Contract Number: AC04-94AL85000
• OSTI ID: 1430897
• Report Number(s): SAND--2016-2777J; 637591
• Journal Information: ACES Journal, Journal Name: ACES Journal Journal Issue: 1 Vol. 33; ISSN 1054-4887
• Publisher: Applied Computational Electromagnetics Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
Electrostatics
exact solutions
magnetohydrodynamics
magnetostatics
verification and validation