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Title: Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report

Abstract

Surface effects are critical to the accurate simulation of electromagnetics (EM) as current tends to concentrate near material surfaces. Sandia EM applications, which include exploding bridge wires for detonator design, electromagnetic launch of flyer plates for material testing and gun design, lightning blast-through for weapon safety, electromagnetic armor, and magnetic flux compression generators, all require accurate resolution of surface effects. These applications operate in a large deformation regime, where body-fitted meshes are impractical and multimaterial elements are the only feasible option. State-of-the-art methods use various mixture models to approximate the multi-physics of these elements. The empirical nature of these models can significantly compromise the accuracy of the simulation in this very important surface region. We propose to substantially improve the predictive capability of electromagnetic simulations by removing the need for empirical mixture models at material surfaces. We do this by developing an eXtended Finite Element Method (XFEM) and an associated Conformal Decomposition Finite Element Method (CDFEM) which satisfy the physically required compatibility conditions at material interfaces. We demonstrate the effectiveness of these methods for diffusion and diffusion-like problems on node, edge and face elements in 2D and 3D. We also present preliminary work on h -hierarchical elements and remap algorithms.

Authors:
 [1];  [1];  [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1322284
Report Number(s):
SAND2014-17921
537662
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Siefert, Christopher, Bochev, Pavel Blagoveston, Kramer, Richard Michael Jack, Voth, Thomas Eugene, and Cox, James. Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report. United States: N. p., 2014. Web. doi:10.2172/1322284.
Siefert, Christopher, Bochev, Pavel Blagoveston, Kramer, Richard Michael Jack, Voth, Thomas Eugene, & Cox, James. Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report. United States. doi:10.2172/1322284.
Siefert, Christopher, Bochev, Pavel Blagoveston, Kramer, Richard Michael Jack, Voth, Thomas Eugene, and Cox, James. Mon . "Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report". United States. doi:10.2172/1322284. https://www.osti.gov/servlets/purl/1322284.
@article{osti_1322284,
title = {Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report},
author = {Siefert, Christopher and Bochev, Pavel Blagoveston and Kramer, Richard Michael Jack and Voth, Thomas Eugene and Cox, James},
abstractNote = {Surface effects are critical to the accurate simulation of electromagnetics (EM) as current tends to concentrate near material surfaces. Sandia EM applications, which include exploding bridge wires for detonator design, electromagnetic launch of flyer plates for material testing and gun design, lightning blast-through for weapon safety, electromagnetic armor, and magnetic flux compression generators, all require accurate resolution of surface effects. These applications operate in a large deformation regime, where body-fitted meshes are impractical and multimaterial elements are the only feasible option. State-of-the-art methods use various mixture models to approximate the multi-physics of these elements. The empirical nature of these models can significantly compromise the accuracy of the simulation in this very important surface region. We propose to substantially improve the predictive capability of electromagnetic simulations by removing the need for empirical mixture models at material surfaces. We do this by developing an eXtended Finite Element Method (XFEM) and an associated Conformal Decomposition Finite Element Method (CDFEM) which satisfy the physically required compatibility conditions at material interfaces. We demonstrate the effectiveness of these methods for diffusion and diffusion-like problems on node, edge and face elements in 2D and 3D. We also present preliminary work on h -hierarchical elements and remap algorithms.},
doi = {10.2172/1322284},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Sep 01 00:00:00 EDT 2014},
month = {Mon Sep 01 00:00:00 EDT 2014}
}

Technical Report:

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