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Shock front distortion and Richtmyer-Meshkov-type growth caused by a small preshock nonuniformity

Phys. Plasmas 14, 072706 (2007); doi:10.1063/1.2745809

Published 31 July 2007

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A. L. Velikovich
Plasma Physics Division, Naval Research Laboratory, Washington, D.C. 20375, USA

J. G. Wouchuk and C. Huete Ruiz de Lira
Escuela Tecnica Superior de Ingenieros Industriales, Universidad de Castilla-la Mancha, 13071 Ciudad Real, Spain

N. Metzler
Science Applications International Corporation, McLean, Virginia 22150, USA and NRCN, P.O. Box 9001, Beer Sheva, Israel

S. Zalesak and A. J. Schmitt
Plasma Physics Division, Naval Research Laboratory, Washington, D.C. 20375, USA
The response of a shock front to small preshock nonuniformities of density, pressure, and velocity is studied theoretically and numerically. These preshock nonuniformities emulate imperfections of a laser target, due either to its manufacturing, like joints or feeding tubes, or to preshock perturbation seeding/growth, as well as density fluctuations in foam targets, “thermal layers” near heated surfaces, etc. Similarly to the shock-wave interaction with a small nonuniformity localized at a material interface, which triggers a classical Richtmyer-Meshkov (RM) instability, interaction of a shock wave with periodic or localized preshock perturbations distributed in the volume distorts the shape of the shock front and can cause a RM-type instability growth. Explicit asymptotic formulas describing distortion of the shock front and the rate of RM-type growth are presented. These formulas are favorably compared both to the exact solutions of the corresponding initial-boundary-value problem and to numerical simulations. It is demonstrated that a small density modulation localized sufficiently close to a flat target surface produces the same perturbation growth as an “equivalent” ripple on the surface of a uniform target, characterized by the same initial areal mass modulation amplitude. ©2007 American Institute of Physics
History: Received 7 March 2007; accepted 4 May 2007; published 31 July 2007
Permalink: http://link.aip.org/link/?PHPAEN/14/072706/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Tc
    Shock waves and discontinuities in plasma
  • 52.25.Gj
    Plasma fluctuation and chaos phenomena
  • 52.35.Py
    Plasma macroinstabilities (hydromagnetic) e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor instabilities, etc
  • YEAR: 2007

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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