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:
-
- 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. https://doi.org/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. https://doi.org/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 = {Wed May 09 00:00:00 EDT 2018},
month = {Wed May 09 00:00:00 EDT 2018}
}
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Cited by: 7 works
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Figures / Tables:
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.
All figures and tables
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.