Regimes of the Vishniac–Ryu Decelerating Shock Instability

Drake, R. Paul; Doss, Forrest William

doi:10.3847/1538-4357/aae47d

Title: Regimes of the Vishniac–Ryu Decelerating Shock Instability

Abstract

Here we revisit the derivation of the instability of dense shocked layers, originally developed by Vishniac and Ryu. Our motivation is that density profiles found in actual astrophysical and laboratory systems often do not match the assumptions in that paper. In order to identify the anticipated theoretical growth rates for various circumstances, one must first revisit the derivation and allow for the possibility that the density scale length differs, in magnitude and/or in sign, from the isothermal scale height. This analysis leads us to find regimes of purely convective instability and also of Vishniac stabilization of this instability, in addition to some new regimes of Vishniac behavior. We also identify a typographical error in the original paper that matters for quantitative evaluation of growth rates.

Authors:

^[1];

^[2]

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

Publication Date:: Wed Nov 14 00:00:00 EST 2018

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP); USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1484645

Alternate Identifier(s):: OSTI ID: 1486978

Report Number(s):: LA-UR-18-24184
Journal ID: ISSN 1538-4357

Grant/Contract Number:: 89233218CNA000001; NA0002956; NA0001944; AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: The Astrophysical Journal (Online)

Additional Journal Information:: Journal Name: The Astrophysical Journal (Online); Journal Volume: 868; Journal Issue: 1; Journal ID: ISSN 1538-4357

Publisher:: Institute of Physics (IOP)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; hydrodynamics; instabilities; supernovae: general; turbulence; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats


                    Drake, R. Paul, and Doss, Forrest William. Regimes of the Vishniac–Ryu Decelerating Shock Instability.  United States: N. p., 2018. 
Web.  doi:10.3847/1538-4357/aae47d.

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                    Drake, R. Paul, & Doss, Forrest William. Regimes of the Vishniac–Ryu Decelerating Shock Instability.  United States.  https://doi.org/10.3847/1538-4357/aae47d

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                    Drake, R. Paul, and Doss, Forrest William. Wed .  
"Regimes of the Vishniac–Ryu Decelerating Shock Instability".  United States.  https://doi.org/10.3847/1538-4357/aae47d.  https://www.osti.gov/servlets/purl/1484645.

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@article{osti_1484645,

  title        = {Regimes of the Vishniac–Ryu Decelerating Shock Instability},

  author       = {Drake, R. Paul and Doss, Forrest William},

  abstractNote = {Here we revisit the derivation of the instability of dense shocked layers, originally developed by Vishniac and Ryu. Our motivation is that density profiles found in actual astrophysical and laboratory systems often do not match the assumptions in that paper. In order to identify the anticipated theoretical growth rates for various circumstances, one must first revisit the derivation and allow for the possibility that the density scale length differs, in magnitude and/or in sign, from the isothermal scale height. This analysis leads us to find regimes of purely convective instability and also of Vishniac stabilization of this instability, in addition to some new regimes of Vishniac behavior. We also identify a typographical error in the original paper that matters for quantitative evaluation of growth rates.},

  doi          = {10.3847/1538-4357/aae47d},

  journal      = {The Astrophysical Journal (Online)},

  number       = 1,

  volume       = 868,

  place        = {United States},

  year         = {Wed Nov 14 00:00:00 EST 2018},

  month        = {Wed Nov 14 00:00:00 EST 2018}

}

Copy to clipboard

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Cited by: 4 works

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Figure 1: Schematic of the system analyzed first in Vishniac & Ryu (1989).

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Works referenced in this record:

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Works referencing / citing this record:

Self-similar dynamics of radiative blast waves
journal, January 2020

Gintrand, A.; Sanz, J.; Bouquet, S.
Physics of Fluids, Vol. 32, Issue 1
DOI: 10.1063/1.5135386

Figures / Tables found in this record:

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Similar Records

Title: Regimes of the Vishniac–Ryu Decelerating Shock Instability

Abstract

Citation Formats

Figures / Tables:

Laboratory simulations of astrophysical blast waves with high energy lasers journal, October 2008

Numerical Study of the Vishniac Instability in Supernova Remnants journal, October 2012

The spectrum of the Sedov–Taylor point explosion linear stability journal, June 2016

An Optical Survey of Outlying Ejecta in Cassiopeia A: Evidence for a Turbulent, Asymmetric Explosion journal, March 2001

On the Instability of Decelerating Shock Waves journal, February 1992

The Stability of Decelerating Shocks Revisited journal, November 2005

Nucleosynthesis and Mixing in Cassiopeia A journal, January 2000

The dynamic and gravitational instabilities of spherical shocks journal, November 1983

On physical and numerical instabilities arising in simulations of non-stationary radiatively cooling shocks journal, April 2016

Numerical Analysis of the Dynamic Stability of Radiative Shocks journal, August 1995

Transition to the Radiative Phase in Supernova Remnants journal, June 1998

Nonlinear instabilities in shock-bounded slabs journal, June 1994

Non-spherical core-collapse supernovae: evolution towards homologous expansion journal, October 2009

Potential for the Vishniac instability in ionizing shock waves propagating into cold gases journal, May 2018

Shock breakout in SN 1987A journal, July 1992

The growth of linear perturbations of adiabatic shock waves journal, February 1987

On the structure and stability of radiative shock waves journal, May 1986

Numerical study of the adiabatic index effect for the Vishniac instability in supernova remnants journal, April 2011

The period of simple vertical oscillations in the atmosphere journal, January 1927

On the Decelerating Shock Instability of a Plane‐Parallel Slab with Finite Thickness journal, April 2000

On the stability of decelerating shocks journal, February 1989

Nonlinear growth of dynamical overstabilities in blast waves journal, April 1993

The dynamic instability of adiabatic blast waves journal, February 1991

Observation of collapsing radiative shocks in laboratory experiments journal, August 2006

High-Energy-Density Physics book, January 2018

Evolution of cold shock-bounded slabs journal, November 1996

Instability of Taylor-Sedov blast waves propagating through a uniform gas journal, May 1991

Instability of Taylor-Sedov Blast Waves Propagating through a Uniform Gas journal, November 1991

High-energy-density physics journal, June 2010

Nucleosynthesis and Mixing in Cassiopeia A text, January 1999

Self-similar dynamics of radiative blast waves journal, January 2020

Laboratory simulations of astrophysical blast waves with high energy lasers
journal, October 2008

Numerical Study of the Vishniac Instability in Supernova Remnants
journal, October 2012

The spectrum of the Sedov–Taylor point explosion linear stability
journal, June 2016

An Optical Survey of Outlying Ejecta in Cassiopeia A: Evidence for a Turbulent, Asymmetric Explosion
journal, March 2001

On the Instability of Decelerating Shock Waves
journal, February 1992

The Stability of Decelerating Shocks Revisited
journal, November 2005

Nucleosynthesis and Mixing in Cassiopeia A
journal, January 2000

The dynamic and gravitational instabilities of spherical shocks
journal, November 1983

On physical and numerical instabilities arising in simulations of non-stationary radiatively cooling shocks
journal, April 2016

Numerical Analysis of the Dynamic Stability of Radiative Shocks
journal, August 1995

Transition to the Radiative Phase in Supernova Remnants
journal, June 1998

Nonlinear instabilities in shock-bounded slabs
journal, June 1994

Non-spherical core-collapse supernovae: evolution towards homologous expansion
journal, October 2009

Potential for the Vishniac instability in ionizing shock waves propagating into cold gases
journal, May 2018

Shock breakout in SN 1987A
journal, July 1992

The growth of linear perturbations of adiabatic shock waves
journal, February 1987

On the structure and stability of radiative shock waves
journal, May 1986

Numerical study of the adiabatic index effect for the Vishniac instability in supernova remnants
journal, April 2011

The period of simple vertical oscillations in the atmosphere
journal, January 1927

On the Decelerating Shock Instability of a Plane‐Parallel Slab with Finite Thickness
journal, April 2000

On the stability of decelerating shocks
journal, February 1989

Nonlinear growth of dynamical overstabilities in blast waves
journal, April 1993

The dynamic instability of adiabatic blast waves
journal, February 1991

Observation of collapsing radiative shocks in laboratory experiments
journal, August 2006

High-Energy-Density Physics
book, January 2018

Evolution of cold shock-bounded slabs
journal, November 1996

Instability of Taylor-Sedov blast waves propagating through a uniform gas
journal, May 1991

Instability of Taylor-Sedov Blast Waves Propagating through a Uniform Gas
journal, November 1991

High-energy-density physics
journal, June 2010

Nucleosynthesis and Mixing in Cassiopeia A
text, January 1999

Self-similar dynamics of radiative blast waves
journal, January 2020