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Title: Vortex-sheet modeling of hydrodynamic instabilities produced by an oblique shock interacting with a perturbed interface in the HED regime

Abstract

In this work, we consider hydrodynamic instabilities produced by the interaction of an oblique shock with a perturbed material interface under high-energy-density (HED) conditions. During this interaction, a baroclinic torque is generated along the interface due to the misalignment between the density and pressure gradients, thus leading to perturbation growth. Our objective is to understand the competition between the impulsive acceleration due to the normal component of the shock velocity, which drives the Richtmyer–Meshkov instability, and the shear flow across the interface due to the tangential component of the shock velocity, which drives the Kelvin–Helmholtz instability, as well as its relation to perturbation growth. Since the vorticity resulting from the shock-interface interaction is confined to the interface, we describe the perturbation growth using a two-dimensional vortex-sheet model. We demonstrate the ability of the vortex-sheet model to reproduce roll-up dynamics for non-zero Atwood numbers by comparing to past laser-driven HED experiments. We determine the dependence of the interface dynamics on the tilt angle and propose a time scaling for the perturbation growth at early time. Eventually, this scaling will serve as a platform for the design of future experiments. This study is the first attempt to incorporate into a vortex-sheet modelmore » the time-dependent interface decompression and the deceleration (as well as the corresponding Rayleigh–Taylor instability) arising from laser turn-off.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2];  [1];  [1]
+ Show Author Affiliations
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1812660
Alternate Identifier(s):
OSTI ID: 1970533
Report Number(s):
LA-UR-20-26011
Journal ID: ISSN 1070-664X; TRN: US2213267
Grant/Contract Number:  
89233218CNA000001; PHY-1707260
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 28; Journal Issue: 2; 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; fluid instabilities; shock waves; interface dynamics; hydrodynamics simulations; vortex dynamics

Citation Formats

Pellone, S., Di Stefano, C. A., Rasmus, A. M., Kuranz, C. C., and Johnsen, E. Vortex-sheet modeling of hydrodynamic instabilities produced by an oblique shock interacting with a perturbed interface in the HED regime. United States: N. p., 2021. Web. doi:10.1063/5.0029247.
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Pellone, S., Di Stefano, C. A., Rasmus, A. M., Kuranz, C. C., & Johnsen, E. Vortex-sheet modeling of hydrodynamic instabilities produced by an oblique shock interacting with a perturbed interface in the HED regime. United States. https://doi.org/10.1063/5.0029247
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Pellone, S., Di Stefano, C. A., Rasmus, A. M., Kuranz, C. C., and Johnsen, E. Tue . "Vortex-sheet modeling of hydrodynamic instabilities produced by an oblique shock interacting with a perturbed interface in the HED regime". United States. https://doi.org/10.1063/5.0029247. https://www.osti.gov/servlets/purl/1812660.
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@article{osti_1812660,
title = {Vortex-sheet modeling of hydrodynamic instabilities produced by an oblique shock interacting with a perturbed interface in the HED regime},
author = {Pellone, S. and Di Stefano, C. A. and Rasmus, A. M. and Kuranz, C. C. and Johnsen, E.},
abstractNote = {In this work, we consider hydrodynamic instabilities produced by the interaction of an oblique shock with a perturbed material interface under high-energy-density (HED) conditions. During this interaction, a baroclinic torque is generated along the interface due to the misalignment between the density and pressure gradients, thus leading to perturbation growth. Our objective is to understand the competition between the impulsive acceleration due to the normal component of the shock velocity, which drives the Richtmyer–Meshkov instability, and the shear flow across the interface due to the tangential component of the shock velocity, which drives the Kelvin–Helmholtz instability, as well as its relation to perturbation growth. Since the vorticity resulting from the shock-interface interaction is confined to the interface, we describe the perturbation growth using a two-dimensional vortex-sheet model. We demonstrate the ability of the vortex-sheet model to reproduce roll-up dynamics for non-zero Atwood numbers by comparing to past laser-driven HED experiments. We determine the dependence of the interface dynamics on the tilt angle and propose a time scaling for the perturbation growth at early time. Eventually, this scaling will serve as a platform for the design of future experiments. This study is the first attempt to incorporate into a vortex-sheet model the time-dependent interface decompression and the deceleration (as well as the corresponding Rayleigh–Taylor instability) arising from laser turn-off.},
doi = {10.1063/5.0029247},
journal = {Physics of Plasmas},
number = 2,
volume = 28,
place = {United States},
year = {Tue Feb 02 00:00:00 EST 2021},
month = {Tue Feb 02 00:00:00 EST 2021}
}
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