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A numerical study of Richtmyer{endash}Meshkov instability driven by cylindrical shocks

Journal Article · · Physics of Fluids (1994)
DOI:https://doi.org/10.1063/1.869624· OSTI ID:624758
 [1];  [2]
  1. Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, New York11794-3600 (United States)
  2. Department of Mathematical Sciences, United States Military Academy, West Point, New York10996-1786 (United States)

As an incident shock wave hits a material interface between two fluids of different densities, the interface becomes unstable. Small disturbances at the interface start to grow. This interfacial instability is known as a Richtmyer{endash}Meshkov (RM) instability. It plays an important role in the studies of inertial confinement fusion and supernova. The majority of studies of the RM instability were in plane geometry{emdash}namely, plane shocks in Cartesian coordinates. We present a systematic numerical study of the RM instability driven by cylindrical shocks for both the imploding and exploding cases. The imploding (exploding) case refers to a cylindrical shock colliding with the material interface from the outside in (inside out). The phenomenon of reshock caused by the waves reflected from the origin is also studied. A qualitative understanding of this system has been achieved. Detailed studies of the growth rate of the fingers at the unstable interface are presented. {copyright} {ital 1998 American Institute of Physics.}

OSTI ID:
624758
Journal Information:
Physics of Fluids (1994), Journal Name: Physics of Fluids (1994) Journal Issue: 4 Vol. 10; ISSN PHFLE6; ISSN 1070-6631
Country of Publication:
United States
Language:
English

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