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

Pellone, S.; Di Stefano, C. A.; Rasmus, A. M.; Kuranz, C. C.; Johnsen, E.

doi:10.1063/5.0029247

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

Journal Article · Tue Feb 02 00:00:00 EST 2021 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0029247· OSTI ID:1812660

^[1];

^[2];

^[2]; Kuranz, C. C. ^[1]; Johnsen, E. ^[1]

Univ. of Michigan, Ann Arbor, MI (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; PHY-1707260

OSTI ID:: 1812660

Alternate ID(s):: OSTI ID: 1970533

Report Number(s):: LA-UR-20-26011; TRN: US2213267

Journal Information:: Physics of Plasmas, Vol. 28, Issue 2; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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