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Title: Shock-driven hydrodynamic instability of a sinusoidally perturbed, high-Atwood number, oblique interface

Abstract

A shock incident on an interface will cause any initial perturbations on that interface to grow. When the shock front is parallel to the interface, the perturbations grow due to the Richtmyer-Meshkov (RM) process. When there is some tilt between the shock front and the interface, shear flow will result across the postshock interface. Recent experiments on the OMEGA EP laser have studied the hydrodynamic instability growth which results from a supported shock interacting with a sinusoidally perturbed, oblique interface. The observed instability growth was dominated by Richtmyer-Meshkov at early times but became Kelvin-Helmholtz (KH)-like at late times. Previously, this instability growth was described using an analytic model for the deposition of baroclinic vorticity on the interface by a shock combined with a discrete vortex model. Here, we utilize the same baroclinic vorticity deposition model in conjunction with a desingularized, periodic Birkhoff-Rott equation to model instability evolution. The Birkhoff-Rott equation takes into account the vorticity distribution along the interface, whereas the discrete vortex model assumed that all vorticity over each wavelength of the perturbation is confined to a point. We compare the new model to xRAGE simulations and experiments. In conclusion, the model is found to overpredict both the instabilitymore » growth and shear across the interface by about a factor of two, but correctly predicts that the growth is RM-like at early times and KH-like at late times.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2];  [2];  [2];  [2]; ORCiD logo [2];  [2]; ORCiD logo [3];  [4]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Santa Fe Inst., Santa Fe, NM (United States)
  4. Univ. of Michigan, Ann Arbor, MI (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1565898
Alternate Identifier(s):
OSTI ID: 1524458
Report Number(s):
LA-UR-19-21575
Journal ID: ISSN 1070-664X
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Rasmus, Alexander Martin, Di Stefano, Carlos A., Flippo, Kirk Adler, Doss, Forrest William, Kawaguchi, Codie, Kline, John L., Merritt, Elizabeth Catherine, Desjardins, Tiffany R., Cardenas, Tana, Schmidt, Derek William, Donovan, Patrick Mark, Fierro, Franklin, Goodwin, Lynne Alese, Martinez, John Israel, Quintana, Theresa E., Zingale, John S., and Kuranz, Carolyn Christine. Shock-driven hydrodynamic instability of a sinusoidally perturbed, high-Atwood number, oblique interface. United States: N. p., 2019. Web. doi:10.1063/1.5093650.
Rasmus, Alexander Martin, Di Stefano, Carlos A., Flippo, Kirk Adler, Doss, Forrest William, Kawaguchi, Codie, Kline, John L., Merritt, Elizabeth Catherine, Desjardins, Tiffany R., Cardenas, Tana, Schmidt, Derek William, Donovan, Patrick Mark, Fierro, Franklin, Goodwin, Lynne Alese, Martinez, John Israel, Quintana, Theresa E., Zingale, John S., & Kuranz, Carolyn Christine. Shock-driven hydrodynamic instability of a sinusoidally perturbed, high-Atwood number, oblique interface. United States. doi:10.1063/1.5093650.
Rasmus, Alexander Martin, Di Stefano, Carlos A., Flippo, Kirk Adler, Doss, Forrest William, Kawaguchi, Codie, Kline, John L., Merritt, Elizabeth Catherine, Desjardins, Tiffany R., Cardenas, Tana, Schmidt, Derek William, Donovan, Patrick Mark, Fierro, Franklin, Goodwin, Lynne Alese, Martinez, John Israel, Quintana, Theresa E., Zingale, John S., and Kuranz, Carolyn Christine. Tue . "Shock-driven hydrodynamic instability of a sinusoidally perturbed, high-Atwood number, oblique interface". United States. doi:10.1063/1.5093650.
@article{osti_1565898,
title = {Shock-driven hydrodynamic instability of a sinusoidally perturbed, high-Atwood number, oblique interface},
author = {Rasmus, Alexander Martin and Di Stefano, Carlos A. and Flippo, Kirk Adler and Doss, Forrest William and Kawaguchi, Codie and Kline, John L. and Merritt, Elizabeth Catherine and Desjardins, Tiffany R. and Cardenas, Tana and Schmidt, Derek William and Donovan, Patrick Mark and Fierro, Franklin and Goodwin, Lynne Alese and Martinez, John Israel and Quintana, Theresa E. and Zingale, John S. and Kuranz, Carolyn Christine},
abstractNote = {A shock incident on an interface will cause any initial perturbations on that interface to grow. When the shock front is parallel to the interface, the perturbations grow due to the Richtmyer-Meshkov (RM) process. When there is some tilt between the shock front and the interface, shear flow will result across the postshock interface. Recent experiments on the OMEGA EP laser have studied the hydrodynamic instability growth which results from a supported shock interacting with a sinusoidally perturbed, oblique interface. The observed instability growth was dominated by Richtmyer-Meshkov at early times but became Kelvin-Helmholtz (KH)-like at late times. Previously, this instability growth was described using an analytic model for the deposition of baroclinic vorticity on the interface by a shock combined with a discrete vortex model. Here, we utilize the same baroclinic vorticity deposition model in conjunction with a desingularized, periodic Birkhoff-Rott equation to model instability evolution. The Birkhoff-Rott equation takes into account the vorticity distribution along the interface, whereas the discrete vortex model assumed that all vorticity over each wavelength of the perturbation is confined to a point. We compare the new model to xRAGE simulations and experiments. In conclusion, the model is found to overpredict both the instability growth and shear across the interface by about a factor of two, but correctly predicts that the growth is RM-like at early times and KH-like at late times.},
doi = {10.1063/1.5093650},
journal = {Physics of Plasmas},
number = 6,
volume = 26,
place = {United States},
year = {2019},
month = {6}
}

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