Using the ALEGRA Code for Analysis of Quasi-Static Magnetization of Metals
Final rept. Jan-May 2015
ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD WEAPONS AND MATERIALS RESEARCH DIRECTORATE
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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 H i 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.
- Electricity and Magnetism