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Title: Letter: Modeling reactive shock waves in heterogeneous solids at the continuum level with stochastic differential equations

Abstract

In this paper, a new paradigm is introduced for modeling reactive shock waves in heterogeneous solids at the continuum level. Inspired by the probability density function methods from turbulent reactive flows, it is hypothesized that the unreacted material microstructures lead to a distribution of heat release rates from chemical reaction. Fluctuations in heat release, rather than velocity, are coupled to the reactive Euler equations which are then solved via the Riemann problem. Finally, a numerically efficient, one-dimensional hydrocode is used to demonstrate this new approach, and simulation results of a representative impact calculation (inert flyer into explosive target) are discussed.

Authors:
ORCiD logo [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); SNL Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1469625
Alternate Identifier(s):
OSTI ID: 1436551
Report Number(s):
SAND-2018-3215J
Journal ID: ISSN 1070-6631; 661797
Grant/Contract Number:  
NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 30; Journal Issue: 5; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; stochastic processes; finite volume methods; shock waves; chemically reactive flows; explosives; energetic materials

Citation Formats

Kittell, D. E., Yarrington, C. D., Lechman, J. B., and Baer, M. R. Letter: Modeling reactive shock waves in heterogeneous solids at the continuum level with stochastic differential equations. United States: N. p., 2018. Web. doi:10.1063/1.5031775.
Kittell, D. E., Yarrington, C. D., Lechman, J. B., & Baer, M. R. Letter: Modeling reactive shock waves in heterogeneous solids at the continuum level with stochastic differential equations. United States. doi:10.1063/1.5031775.
Kittell, D. E., Yarrington, C. D., Lechman, J. B., and Baer, M. R. Wed . "Letter: Modeling reactive shock waves in heterogeneous solids at the continuum level with stochastic differential equations". United States. doi:10.1063/1.5031775. https://www.osti.gov/servlets/purl/1469625.
@article{osti_1469625,
title = {Letter: Modeling reactive shock waves in heterogeneous solids at the continuum level with stochastic differential equations},
author = {Kittell, D. E. and Yarrington, C. D. and Lechman, J. B. and Baer, M. R.},
abstractNote = {In this paper, a new paradigm is introduced for modeling reactive shock waves in heterogeneous solids at the continuum level. Inspired by the probability density function methods from turbulent reactive flows, it is hypothesized that the unreacted material microstructures lead to a distribution of heat release rates from chemical reaction. Fluctuations in heat release, rather than velocity, are coupled to the reactive Euler equations which are then solved via the Riemann problem. Finally, a numerically efficient, one-dimensional hydrocode is used to demonstrate this new approach, and simulation results of a representative impact calculation (inert flyer into explosive target) are discussed.},
doi = {10.1063/1.5031775},
journal = {Physics of Fluids},
number = 5,
volume = 30,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: Diagram for the Riemann problem. Characteristic equations are solved along $\overline{ab}$ and $\overline{bc}$ to match the local pressure and particle velocity at point b.

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Works referenced in this record:

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.