A numerical study of bubble and spike velocities in shockdriven liquid metals
In this study, we use detailed continuum hydrodynamics and molecular dynamics simulations to investigate the dynamics of ejecta that are initialized with large amplitude perturbations and nonsinusoidal shapes. Insights from the simulations are used to suggest a modified expression for the velocity associated with ejected spike structures, whereas a recently suggested model explains the observed bubble velocities. Specifically, we find the asymptotic bubble velocity prediction given by Mikaelian is in excellent agreement with the simulations, when a nonlinear correction for finite amplitudes is used in that model. In contrast, existing models can overpredict observed spike velocities if they do not include the modification of the initial spike growth rates due to nonlinearities. Instead, we find that when potential flow models are corrected with a suitable nonlinear prefactor, this leads to predictions in close agreement with our simulation data. We also propose a simple empirical expression for the nonlinear correction for spike velocities which is able to reproduce results from our simulations and published experimental and simulation data over a wide range of initial conditions and Mach numbers. We discuss extensions of these models to initial interfaces with arbitrary shapes. In particular, for nonsinusoidal shapes, the bubble and spike velocities aremore »
 Authors:

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 University of North Carolina, Charlotte, NC (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1728876
Journal ID: ISSN 00218979
 Grant/Contract Number:
 AC5206NA25396; AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Applied Physics
 Additional Journal Information:
 Journal Volume: 123; Journal Issue: 2; Journal ID: ISSN 00218979
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Advanced Research Projects Agency  Energy (ARPAE)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ejecta; RichtmeyerMeshkov Instability; ejecta models; numerical simulation
 OSTI Identifier:
 1479928
 Alternate Identifier(s):
 OSTI ID: 1416841
Karkhanis, V., Ramaprabhu, P., Cherne, Frank Joseph, Hammerberg, James Edward, and Andrews, Malcolm John. A numerical study of bubble and spike velocities in shockdriven liquid metals. United States: N. p.,
Web. doi:10.1063/1.5008495.
Karkhanis, V., Ramaprabhu, P., Cherne, Frank Joseph, Hammerberg, James Edward, & Andrews, Malcolm John. A numerical study of bubble and spike velocities in shockdriven liquid metals. United States. doi:10.1063/1.5008495.
Karkhanis, V., Ramaprabhu, P., Cherne, Frank Joseph, Hammerberg, James Edward, and Andrews, Malcolm John. 2018.
"A numerical study of bubble and spike velocities in shockdriven liquid metals". United States.
doi:10.1063/1.5008495.
@article{osti_1479928,
title = {A numerical study of bubble and spike velocities in shockdriven liquid metals},
author = {Karkhanis, V. and Ramaprabhu, P. and Cherne, Frank Joseph and Hammerberg, James Edward and Andrews, Malcolm John},
abstractNote = {In this study, we use detailed continuum hydrodynamics and molecular dynamics simulations to investigate the dynamics of ejecta that are initialized with large amplitude perturbations and nonsinusoidal shapes. Insights from the simulations are used to suggest a modified expression for the velocity associated with ejected spike structures, whereas a recently suggested model explains the observed bubble velocities. Specifically, we find the asymptotic bubble velocity prediction given by Mikaelian is in excellent agreement with the simulations, when a nonlinear correction for finite amplitudes is used in that model. In contrast, existing models can overpredict observed spike velocities if they do not include the modification of the initial spike growth rates due to nonlinearities. Instead, we find that when potential flow models are corrected with a suitable nonlinear prefactor, this leads to predictions in close agreement with our simulation data. We also propose a simple empirical expression for the nonlinear correction for spike velocities which is able to reproduce results from our simulations and published experimental and simulation data over a wide range of initial conditions and Mach numbers. We discuss extensions of these models to initial interfaces with arbitrary shapes. In particular, for nonsinusoidal shapes, the bubble and spike velocities are still predicted by these models provided we use an effective wavelength λeff which is the wavelength of an equivalent sinusoid that has the same missing area. Lastly, the issues of nonlinearity, nonstandard shapes and shock Mach number addressed in this work are relevant to recent experimental campaigns involving twiceshocked targets.},
doi = {10.1063/1.5008495},
journal = {Journal of Applied Physics},
number = 2,
volume = 123,
place = {United States},
year = {2018},
month = {1}
}