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Empirical correlations between the function of entropy (ZS) and net artificial viscous work in a shock physics hydrocode

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/12.0028745· OSTI ID:2481185
 [1]
  1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Entropy is a state variable that may be obtained from any thermodynamically complete equation of state (EOS). However, hydrocode calculations that output the entropy often contain numerical errors; this is not because of the EOS, but rather the solution techniques that are used in hydrocodes (especially Eulerian) such as convection, remapping, and artificial viscosity. Here, in this work, empirical correlations are investigated to reduce the errors in entropy without altering the solution techniques for the conservation of mass, momentum, and energy. Specifically, these correlations are developed for the function of entropy ZS, and they depend upon the net artificial viscous work, as determined via Sandia National Laboratories’ shock physics hydrocode CTH. These results are a continuation of a prior effort to implement the entropy-based CREST reactive burn model in CTH, and they are presented here to stimulate further interest from the shock physics community. Future work is planned to study higher-dimensional shock waves, shock wave interactions, and possible ties between the empirical correlations and a physical law.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOD; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2481185
Report Number(s):
SAND--2024-16693J
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 500008 Vol. 3066; ISSN 0094-243X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (13)

Use of artificial viscosity in multidimensional fluid dynamic calculations journal July 1980
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Generalized continuum mixture theory for multi-material shock physics journal February 2023
A nonlinear anisotropic elastic–inelastic constitutive model for polycrystalline ceramics and minerals with application to boron carbide journal July 2015
Solid–fluid diffuse interface model in cases of extreme deformations journal September 2009
A thermodynamically consistent, nonlinear viscoelastic approach for modeling glassy polymers journal June 2004
An Improved EOS for Non-Reacted Explosives conference January 2006
Structured shock waves and the fourth-power law journal January 2010
Understanding the shock and detonation response of high explosives at the continuum and meso scales journal March 2018
Shock temperature dependent rate law for plastic bonded explosives journal April 2018
An improved temperature-dependent specific heat model for unreacted explosive equations of state
  • Kerschen, N. E.; Kittell, D. E.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000801
conference January 2020
Reactive burn model calibration using high-throughput initiation experiments at sub-millimeter length scales journal April 2022
A physically-based Mie–Grüneisen equation of state to determine hot spot temperature distributions journal June 2016

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