An MPMD approach coupling electromagnetic continuum mechanics approximations in ALEGRA

Robinson, Allen C.; Drake, Richard R.; Luchini, Christopher B.; Moral, Ramon J.; Niederhaus, John Henry Judah; Petney, Sharon V.

doi:10.1016/j.cma.2024.117164

An MPMD approach coupling electromagnetic continuum mechanics approximations in ALEGRA

Journal Article · Mon Jun 24 00:00:00 EDT 2024 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2024.117164· OSTI ID:2426029

Robinson, Allen C. ^[1]; Drake, Richard R. ^[1]; Luchini, Christopher B. ^[2]; Moral, Ramon J. ^[2]; Niederhaus, John Henry Judah ^[1]; Petney, Sharon V. ^[1]

Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
SciTac Research Associates, LLC, Los Alamos, NM (United States)

In this work, two complementary approximations for describing aspects of continuum electromagnetics in moving media are discussed: electroquasistatic and magnetoquasistatic. Each has been implemented in the finite element shock code ALEGRA for modeling dynamic electromechanical phenomena on typical engineering time scales, with fully integrated circuit coupling. The approximations can be obtained by consistent asymptotic balancing of Maxwell’s equations relative to timescales associated with magnetic diffusion, charge relaxation, and electromagnetic wave propagation. In ALEGRA, the electroquasistatic approximation is used for ferroelectric (FE) modeling, while the magnetoquasistatic approximation is used for magnetohydrodynamic (MHD) modeling. In this paper we introduce for the first time a detailed derivation of a useful quasi-steady “low-R_m” variant of the MHD approximation applicable for cases, such as with detonators, where the thermodynamic pressure arising from Joule heating dominates over magnetic forces. An additional purpose of this paper is to present a coupling mode using Multiple Program-Multiple Data (MPMD) message passing communication that allows the user to run 3D FE problems together with 2D and/or 3D MHD problems with the respective simulation domains coupled through a common circuit equation. The MPMD coupling capability is used here to model the dynamic coupling of a notional ferroelectric generator with an RP-87 exploding bridgewire detonator. The simulated bridgewire heats up and bursts under current generated by simulated depoling of the ferroelectric generator, as a demonstration of the MPMD capability.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: US Army Research Laboratory (USARL); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 2426029

Report Number(s):: SAND--2024-10026J

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 429; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
Asymptotic
Circuit
Computing
Electromagnetics
Electromechanics
MPMD
Magnetohydrodynamics
Modeling
Multiple data
Multiple program
Parallel

An MPMD approach coupling electromagnetic continuum mechanics approximations in ALEGRA

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