Using the ALEGRA Code for Analysis of Quasi-Static Magnetization of Metals

Report No. ARL-TR-7415
Authors: Michael Grinfeld; John Niederhaus; Andrew Porwitzky
Date/Pages: September 2015; 40 pages

The project pursues several goals. Chief among them is verifying the ALEGRA magnetohydrodynamics code. We explore how reliable ALEGRA is in its static limit. By the static limit we understand the stationary states without macroscopic current. We choose quite a general class of 2-dimensional static solutions for which a linear isotropic metallic ellipse is placed inside a stationary magnetic field approaching a constant value Hoi at infinity. The flexible, convenient closed-form solutions for the interior of the inclusion provide a useful basis for verification of numerical methods.

The second goal is not computational but physical – it is to explore in the quasi-static approximation 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. We demonstrate 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.

Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2015