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Title: Numerical study of multiscale compaction-initiated detonation

Abstract

A multiscale model of heterogeneous condensed-phase explosives is examined computationally to determine the course of transient events following the application of a piston-driven stimulus. The model is a modified version of that introduced by Gonthier (Combust Sci Technol 175(9):1679–1709, 2003. https://doi.org/10.1080/00102200302373) in which the explosive is treated as a porous, compacting medium at the macro-scale and a collection of closely packed spherical grains capable of undergoing reaction and diffusive heat transfer at the meso-scale. A separate continuum description is ascribed to each scale, and the two scales are coupled together in an energetically consistent manner. Following piston-induced compaction, localized energy deposition at the sites of intergranular contact creates hot spots where reaction begins preferentially. Reaction progress at the macro-scale is determined by the spatial average of that at the grain scale. A parametric study shows that combustion at the macro-scale produces an unsteady detonation with a cyclical character, in which the lead shock loses strength and is overtaken by a stronger secondary shock generated in the partially reacted material behind it. Finally, the secondary shock in turn becomes the new lead shock and the process repeats itself.

Authors:
 [1]; ORCiD logo [2];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Mathematical Sciences
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1502028
Report Number(s):
LLNL-JRNL-735470
Journal ID: ISSN 0938-1287; 886014
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Shock Waves
Additional Journal Information:
Journal Volume: 29; Journal Issue: 1; Journal ID: ISSN 0938-1287
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Reactive flow; Detonation; Multiphase flow; Multiscale modeling; Godunov methods

Citation Formats

Gambino, J. R., Schwendeman, D. W., and Kapila, A. K. Numerical study of multiscale compaction-initiated detonation. United States: N. p., 2018. Web. doi:10.1007/s00193-018-0805-5.
Gambino, J. R., Schwendeman, D. W., & Kapila, A. K. Numerical study of multiscale compaction-initiated detonation. United States. doi:10.1007/s00193-018-0805-5.
Gambino, J. R., Schwendeman, D. W., and Kapila, A. K. Wed . "Numerical study of multiscale compaction-initiated detonation". United States. doi:10.1007/s00193-018-0805-5. https://www.osti.gov/servlets/purl/1502028.
@article{osti_1502028,
title = {Numerical study of multiscale compaction-initiated detonation},
author = {Gambino, J. R. and Schwendeman, D. W. and Kapila, A. K.},
abstractNote = {A multiscale model of heterogeneous condensed-phase explosives is examined computationally to determine the course of transient events following the application of a piston-driven stimulus. The model is a modified version of that introduced by Gonthier (Combust Sci Technol 175(9):1679–1709, 2003. https://doi.org/10.1080/00102200302373) in which the explosive is treated as a porous, compacting medium at the macro-scale and a collection of closely packed spherical grains capable of undergoing reaction and diffusive heat transfer at the meso-scale. A separate continuum description is ascribed to each scale, and the two scales are coupled together in an energetically consistent manner. Following piston-induced compaction, localized energy deposition at the sites of intergranular contact creates hot spots where reaction begins preferentially. Reaction progress at the macro-scale is determined by the spatial average of that at the grain scale. A parametric study shows that combustion at the macro-scale produces an unsteady detonation with a cyclical character, in which the lead shock loses strength and is overtaken by a stronger secondary shock generated in the partially reacted material behind it. Finally, the secondary shock in turn becomes the new lead shock and the process repeats itself.},
doi = {10.1007/s00193-018-0805-5},
journal = {Shock Waves},
number = 1,
volume = 29,
place = {United States},
year = {2018},
month = {2}
}

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