skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Modelling the Fluctuations of Reactive Shock Waves in Heterogeneous Solid Explosives as Stochastic Processes

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:
1595423
Alternate Identifier(s):
OSTI ID: 1602904
Report Number(s):
SAND-2020-0010J
Journal ID: ISSN 0721-3115; 681962
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Propellants, Explosives, Pyrotechnics
Additional Journal Information:
Journal Volume: 45; Journal Issue: 2; Journal ID: ISSN 0721-3115
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; shock initiation; stochastic process; burn model; mesoscale

Citation Formats

Kittell, David E., Yarrington, Cole D., Lechman, Jeremy B., Damm, David L., and Baer, Melvin R. Modelling the Fluctuations of Reactive Shock Waves in Heterogeneous Solid Explosives as Stochastic Processes. United States: N. p., 2019. Web. doi:10.1002/prep.201900209.
Kittell, David E., Yarrington, Cole D., Lechman, Jeremy B., Damm, David L., & Baer, Melvin R. Modelling the Fluctuations of Reactive Shock Waves in Heterogeneous Solid Explosives as Stochastic Processes. United States. doi:https://doi.org/10.1002/prep.201900209
Kittell, David E., Yarrington, Cole D., Lechman, Jeremy B., Damm, David L., and Baer, Melvin R. Wed . "Modelling the Fluctuations of Reactive Shock Waves in Heterogeneous Solid Explosives as Stochastic Processes". United States. doi:https://doi.org/10.1002/prep.201900209. https://www.osti.gov/servlets/purl/1595423.
@article{osti_1595423,
title = {Modelling the Fluctuations of Reactive Shock Waves in Heterogeneous Solid Explosives as Stochastic Processes},
author = {Kittell, David E. and Yarrington, Cole D. and Lechman, Jeremy B. and Damm, David L. and Baer, Melvin R.},
abstractNote = {},
doi = {10.1002/prep.201900209},
journal = {Propellants, Explosives, Pyrotechnics},
number = 2,
volume = 45,
place = {United States},
year = {2019},
month = {11}
}

Works referenced in this record:

Modeling heterogeneous energetic materials at the mesoscale
journal, February 2002


Initiation and Growth of Explosion in Liquids and Solids
journal, April 1952

  • Bowden, F. P.; Yoffe, A. D.; Hudson, George E.
  • American Journal of Physics, Vol. 20, Issue 4
  • DOI: 10.1119/1.1933188

On the use of reverse Brownian motion to accelerate hybrid simulations
journal, April 2017


Coarse-Grain Model Simulations of Nonequilibrium Dynamics in Heterogeneous Materials
journal, June 2014

  • Brennan, John K.; Lísal, Martin; Moore, Joshua D.
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 12
  • DOI: 10.1021/jz500756s

Phenomenological model of shock initiation in heterogeneous explosives
journal, January 1980

  • Lee, E. L.; Tarver, C. M.
  • Physics of Fluids, Vol. 23, Issue 12
  • DOI: 10.1063/1.862940

On the effect of grain size on shock sensitivity of heterogeneous high explosives
journal, April 1997

  • Khasainov, B. A.; Ermolaev, B. S.; Presles, H. -N.
  • Shock Waves, Vol. 7, Issue 2
  • DOI: 10.1007/s001930050066

On the systematics of particle velocity histories in the shock-to-detonation transition regime
journal, October 2006

  • James, H. R.; Lambourn, B. D.
  • Journal of Applied Physics, Vol. 100, Issue 8
  • DOI: 10.1063/1.2354416

Quantification of probabilistic ignition thresholds of polymer-bonded explosives with microstructure defects
journal, October 2018

  • Wei, Yaochi; Kim, Seokpum; Horie, Yasuyuki
  • Journal of Applied Physics, Vol. 124, Issue 16
  • DOI: 10.1063/1.5031845

Multi-scale shock-to-detonation simulation of pressed energetic material: A meso-informed ignition and growth model
journal, August 2018

  • Sen, O.; Rai, N. K.; Diggs, A. S.
  • Journal of Applied Physics, Vol. 124, Issue 8
  • DOI: 10.1063/1.5046185

Relating microstructure, temperature, and chemistry to explosive ignition and shock sensitivity
journal, April 2018


PDF methods for turbulent reactive flows
journal, January 1985


Shock Initiation of Solid Explosives
journal, January 1961

  • Campbell, A. W.; Davis, W. C.; Ramsay, J. B.
  • Physics of Fluids, Vol. 4, Issue 4
  • DOI: 10.1063/1.1706354

An Interpretation of Particle Velocity Histories during Growth to Detonation
conference, January 2004

  • Lambourn, B. D.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2003: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
  • DOI: 10.1063/1.1780255

The Hugoniot and shock sensitivity of a plastic‐bonded TATB explosive PBX 9502
journal, May 1988

  • Dick, J. J.; Forest, C. A.; Ramsay, J. B.
  • Journal of Applied Physics, Vol. 63, Issue 10
  • DOI: 10.1063/1.340428

A pseudo-random number generator for the System/360
journal, January 1969

  • Lewis, P. A. W.; Goodman, A. S.; Miller, J. M.
  • IBM Systems Journal, Vol. 8, Issue 2
  • DOI: 10.1147/sj.82.0136

Probabilistic models for reactive behaviour in heterogeneous condensed phase media
journal, February 2012


Stochasticity in materials structure, properties, and processing—A review
journal, March 2018

  • Hull, Robert; Keblinski, Pawel; Lewis, Dan
  • Applied Physics Reviews, Vol. 5, Issue 1
  • DOI: 10.1063/1.4998144

Energy dissipation in polymer-bonded explosives with various levels of constituent plasticity and internal friction
journal, March 2019


Prediction of shock initiation thresholds and ignition probability of polymer-bonded explosives using mesoscale simulations
journal, May 2018

  • Kim, Seokpum; Wei, Yaochi; Horie, Yasuyuki
  • Journal of the Mechanics and Physics of Solids, Vol. 114
  • DOI: 10.1016/j.jmps.2018.02.010

Mesoscale simulation of reactive pressed energetic materials under shock loading
journal, December 2015

  • Rai, Nirmal K.; Udaykumar, H. S.
  • Journal of Applied Physics, Vol. 118, Issue 24
  • DOI: 10.1063/1.4938581

A filtered mass density function approach for modeling separated two-phase flows for LES I: Mathematical formulation
journal, March 2006


A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows
journal, September 1999

  • Muradoglu, Metin; Jenny, Patrick; Pope, Stephen B.
  • Journal of Computational Physics, Vol. 154, Issue 2
  • DOI: 10.1006/jcph.1999.6316

A measure of mixing from Lagrangian tracking and its application to granular and fluid flow systems
journal, December 2008


Shock interactions with heterogeneous energetic materials
journal, March 2018

  • Yarrington, Cole D.; Wixom, Ryan R.; Damm, David L.
  • Journal of Applied Physics, Vol. 123, Issue 10
  • DOI: 10.1063/1.5022042

Highly scalable discrete-particle simulations with novel coarse-graining: accessing the microscale
journal, May 2018


Multi-dimensional mesoscale simulations of detonation initiation in energetic materials with density-based kinetics
journal, December 2017


A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials
journal, February 2017

  • Matouš, Karel; Geers, Marc G. D.; Kouznetsova, Varvara G.
  • Journal of Computational Physics, Vol. 330
  • DOI: 10.1016/j.jcp.2016.10.070

Mixture model for determination of shock equation of state
journal, April 2012

  • Jordan, Jennifer L.; Baer, Melvin R.
  • Journal of Applied Physics, Vol. 111, Issue 8
  • DOI: 10.1063/1.3702873

Lagrangian PDF Methods for Turbulent Flows
journal, January 1994


Letter: Modeling reactive shock waves in heterogeneous solids at the continuum level with stochastic differential equations
journal, May 2018

  • Kittell, D. E.; Yarrington, C. D.; Lechman, J. B.
  • Physics of Fluids, Vol. 30, Issue 5
  • DOI: 10.1063/1.5031775