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Title: Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales

Journal Article · · Physica. D, Nonlinear Phenomena
 [1];  [2];  [3];  [4];  [4];  [5];  [6];  [7];  [8];  [1];  [9];  [10]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Atomic Weapons Establishment (AWE), Aldermaston (United Kingdom)
  3. Univ. of North Carolina, Charlotte, NC (United States)
  4. Univ. of Sydney, NSW (Australia)
  5. Univ. of Exeter (United Kingdom)
  6. Princeton Univ., NJ (United States); Mo-Sci Corporation, Rolla, MO (United States)
  7. Embry-Riddle Aeronautical Univ., Daytona Beach, FL (United States)
  8. Univ. of Florida, Gainesville, FL (United States)
  9. Arizona State Univ., Tempe, AZ (United States)
  10. Convergent Science Inc, Northville, MI (United States)

Hydrodynamic instabilities such as Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) instabilities usually appear in conjunction with the Kelvin–Helmholtz (KH) instability and are found in many natural phenomena and engineering applications. They frequently result in turbulent mixing, which has a major impact on the overall flow development and other effective material properties. This can either be a desired outcome, an unwelcome side effect, or just an unavoidable consequence, but must in all cases be characterized in any model. The RT instability occurs at an interface between different fluids, when the light fluid is accelerated into the heavy. The RM instability may be considered a special case of the RT instability, when the acceleration provided is impulsive in nature such as that resulting from a shock wave. Here in this pedagogical review, we provide an extensive survey of the applications and examples where such instabilities play a central role. First, fundamental aspects of the instabilities are reviewed including the underlying flow physics at different stages of development, followed by an overview of analytical models describing the linear, nonlinear and fully turbulent stages. RT and RM instabilities pose special challenges to numerical modeling, due to the requirement that the sharp interface separating the fluids be captured with fidelity. These challenges are discussed at length here, followed by a summary of the significant progress in recent years in addressing them. Examples of the pivotal roles played by the instabilities in applications are given in the context of solar prominences, ionospheric flows in space, supernovae, inertial fusion and pulsed-power experiments, pulsed detonation engines and Scramjets. Progress in our understanding of special cases of RT/RM instabilities is reviewed, including the effects of material strength, chemical reactions, magnetic fields, as well as the roles the instabilities play in ejecta formation and transport, and explosively expanding flows. The article is addressed to a broad audience, but with particular attention to graduate students and researchers who are interested in the state-of-the-art in our understanding of the instabilities and the unique issues they present in the applications in which they are prominent.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); Science and Technology Facilities Council (STFC); US Air Force Office of Scientific Research (AFOSR)
Grant/Contract Number:
AC52-07NA27344; NA0002378; ST/L00397X/2; ST/R000891/1; FA9550-19-1-0064
OSTI ID:
1807758
Alternate ID(s):
OSTI ID: 1779917
Report Number(s):
LLNL-JRNL-813637; 1019647
Journal Information:
Physica. D, Nonlinear Phenomena, Vol. 423; ISSN 0167-2789
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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Surface tension in incompressible Rayleigh–Taylor mixing flow journal January 2006
On the role of thermal fluctuations in Rayleigh–Taylor mixing journal January 2020
Rayleigh–Taylor Unstable Flames—Fast or Faster? journal April 2015
The effects of mesoscale regions of precipitation on the ionospheric dynamics, electrodynamics and electron density in the presence of strong ambient electric fields journal January 2010
A Comparison of Three Approaches to Compute the Effective Reynolds Number of the Implicit Large-Eddy Simulations journal April 2016
Physics of Solar Prominences: II—Magnetic Structure and Dynamics journal February 2010
A buoyancy–shear–drag-based turbulence model for Rayleigh–Taylor, reshocked Richtmyer–Meshkov, and Kelvin–Helmholtz mixing journal January 2020
Rayleigh-Taylor instability in elastic-plastic solid slabs bounded by a rigid wall journal February 2021
Development and validation of a chemical reaction solver coupled to the FLASH code for combustion applications journal January 2015
Rayleigh-Taylor Instabilities with Sheared Magnetic Fields journal April 2014
Formation, structure, and stability of MHD intermediate shocks journal January 1990
Determination of Prominence Plasma β from the Dynamics of Rising Plumes journal December 2012
The Rayleigh-Taylor instability journal December 2006
Contribution of viscosity to the circulation deposition in the Richtmyer–Meshkov instability journal May 2020
Theory and Phenomena of High Current Densities in Low Pressure Arcs journal January 1937
Ejecta Production and Transport From a Shocked Sn Coupon journal July 2014
Asymptotic growth in the linear Richtmyer–Meshkov instability journal April 1997
Quiescent Prominence Dynamics Observed with the Hinode Solar Optical Telescope. II. Prominence Bubble Boundary Layer Characteristics and the Onset of a Coupled Kelvin–Helmholtz Rayleigh–Taylor Instability journal November 2017
A fast pressure-correction method for incompressible two-fluid flows journal September 2014
Analysis of the photospheric epoch spectra of type 1a supernovae SN 1990N and SN 1991T journal September 1992
Numerical investigation of a single-mode chemically reacting Richtmyer-Meshkov instability journal April 2015
Three-dimensional reacting shock–bubble interaction journal July 2017
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves journal February 2010
The magnetic Rayleigh–Taylor instability in solar prominences journal December 2017
Three-dimensional equatorial spread F modeling: Zonal neutral wind effects journal January 2009
Scalings of Rayleigh-Taylor Instability at Large Viscosity Contrasts in Porous Media journal March 2021
Rotational suppression of Rayleigh–Taylor instability journal April 2002
S-N border instability, magnetic flux trapping and cumulative effect during pulsed S-N switching of high quality YBaCuO thin films journal August 2020
Numerical study of blast characteristics from detonation of homogeneous explosives journal October 2009
Effects of Rayleigh-Taylor instabilities on turbulent premixed flames in a curved rectangular duct journal January 2021
A multiscale strength model for tantalum over an extended range of strain rates journal September 2013
The stability of the contact interface of cylindrical and spherical shock tubes journal June 2018
A further study of numerical errors in large-eddy simulations journal January 2003
Pseudospectral methods for solution of the incompressible navier-stokes equations journal January 1987
Magnetic Field in Atypical Prominence Structures: Bubble, Tornado, and Eruption journal July 2016
Stochastic mirage phenomenon in a random medium journal January 2017
Advances in turbulent flow computations using high-resolution methods journal August 2003
Recent advances in the turbulent Rayleigh–Taylor instability journal May 2005
Linear theory and modeling of the Rayleigh-Taylor instability leading to the occurrence of equatorial spread F journal December 1996
Magnetic Field Amplification Associated with the Richtmyer-Meshkov Instability journal October 2012
A Method of Measuring the Pressure Produced in the Detonation of High Explosives or by the Impact of Bullets journal January 1914
A thermosphere-ionosphere-mesosphere-electrodynamics general circulation model (time-GCM): Equinox solar cycle minimum simulations (30-500 km) journal March 1994
An Investigation of the Mechanical Properties of Materials at very High Rates of Loading journal November 1949
Homogeneous buoyancy-generated turbulence journal February 1992
Growth of a Richtmyer-Meshkov turbulent layer after reshock journal September 2011
Modal model mean field self-similar solutions to the asymptotic evolution of Rayleigh-Taylor and Richtmyer-Meshkov instabilities and its dependence on the initial conditions journal June 2018
Effect of turbulent Mach number on the thermodynamic fluctuations in canonical shock-turbulence interaction journal January 2020
Unstable Richtmyer–Meshkov growth of solid and liquid metals in vacuum journal June 2012
Flow interactions on supersonic projectiles in transitional ballistic regimes journal May 2020
The Origin of Radially Aligned Magnetic Fields in Young Supernova Remnants journal July 2013
Mechanism for magnetic field generation and growth in Rayleigh-Taylor unstable inertial confinement fusion plasmas journal August 2012
A thermosphere/ionosphere general circulation model with coupled electrodynamics journal March 1992
Simulation and flow physics of a shocked and reshocked high-energy-density mixing layer journal March 2021
Yield strength of MgO to 40 GPa journal January 1988
Computational studies of inertia-gravity waves radiated from upper tropospheric jets journal August 2007
Universality and scaling laws among fingers at Rayleigh–Taylor and Richtmyer–Meshkov unstable interfaces in different dimensions journal February 2020
Achievements of Hinode in the first eleven years journal October 2019
Three-dimensional viscous Rayleigh-Taylor instability at the cylindrical interface journal August 2020
Magnetic–Internal–Kinetic Energy Interactions in High-Speed Turbulent Magnetohydrodynamic Jets journal August 2020
A finite scale model for shock structure journal February 2020
XLVI. Hydrokinetic solutions and observations journal November 1871
Three-dimensional simulation of equatorial spread-F with meridional wind effects journal January 2009
Particle evaporation and hydrodynamics in a shock driven multiphase instability journal April 2018
Magnetic field amplification and saturation in turbulence behind a relativistic shock journal February 2014
Dynamic fragmentation of blast mitigants journal November 2009
Vortex-sheet modeling of hydrodynamic instabilities produced by an oblique shock interacting with a perturbed interface in the HED regime journal February 2021
A breakup model for transient Diesel fuel sprays journal July 2012
Interfacial instability at a heavy/light interface induced by rarefaction waves journal January 2020
A numerical study of the vorticity field generated by the baroclinic effect due to the propagation of a planar pressure wave through a cylindrical premixed laminar flame journal November 1994
On the Amplification of Magnetic Field by a Supernova Blast Shock wave in a Turbulent Medium journal February 2012
Multiscale Nested Simulations of Rayleigh–Taylor Instabilities in Ionospheric Flows journal April 2014
Long-range propagation through inhomogeneous turbulent atmosphere: analysis beyond phase screens journal January 2019
Magnetic-Field Amplification by Turbulence in a Relativistic Shock Propagating Through an Inhomogeneous Medium journal December 2010
Dependence of turbulent Rayleigh-Taylor instability on initial perturbations journal May 2004
Progress on Understanding Rayleigh–Taylor Flow and Mixing Using Synergy Between Simulation, Modeling, and Experiment journal October 2020
Highly supersonic motions within the outer features of the η Carinae nebulosity journal October 1996
Local ensemble transform Kalman filter for ionospheric data assimilation: Observation influence analysis during a geomagnetic storm event journal September 2017
The time scale for the transition to turbulence in a high Reynolds number, accelerated flow journal March 2003
Mathematical foundations of the three-dimensional neutron hydrodynamics coupled transport equations journal June 2021
Universal behaviour in compressive failure of brittle materials journal August 2001
Experimental and numerical investigation of the Rayleigh-Taylor instability of the Newtonian and dilatant fluid system journal October 2020
High resolution numerical study of Rayleigh–Taylor turbulence using a thermal lattice Boltzmann scheme journal November 2010
Thermonuclear Supernovae: Simulations of the Deflagration Stage and Their Implications journal November 2002
Fusion Yield Enhancement in Magnetized Laser-Driven Implosions journal July 2011
The temperature and strain rate dependence of the flow stress of tantalum journal August 1977
External front instabilities induced by a shocked particle ring journal October 2014
Fire suppression by water sprays journal April 2000
On the use of optimization techniques for turbulence model calibration journal January 2021
On the coexistence of kilometer- and meter-scale irregularities in the nighttime equatorial F region journal January 1978
Ejected Particle Size Distributions from Shocked Metal Surfaces journal April 2017
Observations of the Kelvin–Helmholtz Instability Driven by Dynamic Motions in a Solar Prominence journal August 2018
Rayleigh-Taylor instability: numerical simulation and experiment journal December 1992
Atomistic Dynamics of the Richtmyer-Meshkov Instability in Cylindrical and Planar Geometries
  • Zhakhovskii, V. V.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2263354
conference January 2006
Large-scale molecular dynamics study of jet breakup and ejecta production from shock-loaded copper with a hybrid method journal February 2012
Turbulence with Large Thermal and Compositional Density Variations journal January 2020
Current status and expected future trends in dust explosion research journal July 2005
The influence of self-generated magnetic fields on the Rayleigh-Taylor instability journal July 1986
Investigation of Rayleigh–Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. II. Dynamics of transitional flow and mixing statistics journal January 2009
An improved reconstruction method for compressible flows with low Mach number features journal May 2008
A Sneeze journal August 2016
Nonlinear evolution of equatorial spread F : 2. Gravity wave seeding of Rayleigh-Taylor instability journal January 1996
Gravitational (Rayleigh-Taylor) instability of a layer with non-linear viscosity and convective thinning of continental lithosphere journal January 1997
Earth Impact Effects Program: A Web-based computer program for calculating the regional environmental consequences of a meteoroid impact on Earth journal June 2005
Debris Cloud Ejection from Shock-Loaded tin Melted on Release or on Compression
  • Signor, L.; Roy, G.; Chanal, P. -Y.
  • SHOCK COMPRESSION OF CONDENSED MATTER 2009: Proceedings of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3294984
conference January 2009
On entropy generation and dissipation of kinetic energy in high-resolution shock-capturing schemes journal May 2008
Magnetic field and radiative transfer modelling of a quiescent prominence journal July 2014
Self-similar solutions of asymmetric Rayleigh-Taylor mixing journal January 2020
Filtering, averaging, and scale dependency in homogeneous variable density turbulence journal February 2021
Artificial fluid properties for large-eddy simulation of compressible turbulent mixing journal May 2007
Compressible inviscid instability of rapidly expanding spherical material interfaces journal March 2012
Richtmyer-Meshkov instability of an imploding flow with a two-fluid plasma model journal November 2020
A comparison of experimental, theoretical, and numerical simulation Rayleigh-Taylor mixing rates journal February 2002
Modulation of the midlatitude ionospheric E region by atmospheric gravity waves through polarization electric field journal January 2004
Evolution of shock-accelerated heavy gas layer journal January 2020
Bell–Plesset effects on Rayleigh–Taylor instability at cylindrically divergent interfaces between viscous fluids journal March 2021
Turbulence in space plasmas: Who needs it? journal March 2021
High-fidelity simulations of gravity currents using a high-order finite-difference spectral vanishing viscosity approach journal May 2021
Extremely fast acceleration of cosmic rays in a supernova remnant journal October 2007
Suppression of the Richtmyer–Meshkov instability in the presence of a magnetic field journal August 2003
Physical distancing, face masks, and eye protection to prevent person-to-person transmission of SARS-CoV-2 and COVID-19: a systematic review and meta-analysis journal June 2020
Magneto-thermal convection in solar prominences journal April 2011
Rayleigh-Taylor instability in finite-thickness fluids with viscosity and surface tension journal October 1996
The density ratio dependence of self-similar Rayleigh–Taylor mixing journal November 2013
Growth Rate Exponents of Richtmyer-Meshkov Mixing Layers journal November 2005
A numerical study of particle jetting in a dense particle bed driven by an air-blast journal September 2020
Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities journal August 2019
Numerical simulation of mixing by Rayleigh–Taylor and Richtmyer–Meshkov instabilities journal December 1994
Turbulent flame propagation in corn dust clouds formed in confined and open spaces journal July 2020
A three-dimensional renormalization group bubble merger model for Rayleigh–Taylor mixing journal March 2002
DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research journal January 1998
Viscous effects in Rayleigh-Taylor instability journal January 1974
Formation of periodic superhydrophilic microstructures by infrared nanosecond laser processing of single-crystal silicon journal May 2020
Common volume coherent and incoherent scatter radar observations of mid-latitude sporadic E-layers and QP echoes journal January 2004
Experimental and Numerical Modeling of the Bow Shock Interaction with Pulse-Heated Air Bubbles journal September 2010
Stochastic Lagrangian dynamics for charged flows in the E-F regions of ionosphere journal March 2013
A Five-Equation Model for the Simulation of Interfaces between Compressible Fluids journal September 2002
Cavitation bubble interacting with a Richtmyer-Meshkov unstable sheet and spike
  • Buttler, W. T.; Renner, D.; Morris, C.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.5044845
conference January 2018
Time-filtered leapfrog integration of Maxwell equations using unstaggered temporal grids journal November 2016
Exploring astrophysics-relevant magnetohydrodynamics with pulsed-power laboratory facilities journal April 2019
The late-time dynamics of the single-mode Rayleigh-Taylor instability journal July 2012
Extreme Hardening of Pb at High Pressure and Strain Rate journal November 2019
Experimental and Theoretical Studies of Flame-Front Stability journal March 1951
Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios journal January 1995
Factors influencing the suppression of coal dust explosions journal May 1997
New directions for Rayleigh–Taylor mixing
  • Glimm, James; Sharp, David H.; Kaman, Tulin
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003 https://doi.org/10.1098/rsta.2012.0183
journal November 2013
Ballistic properties of ejecta from a laser shock-loaded groove: SPH versus experiments
  • Roland, C.; de Rességuier, T.; Sollier, A.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.5044854
conference January 2018
Direct numerical simulation of the multimode narrowband Richtmyer–Meshkov instability journal November 2019
Large eddy simulation investigation of the canonical shock–turbulence interaction journal November 2018
A constitutive model for metals applicable at high‐strain rate journal March 1980
Nonlinear interfacial motion in magnetohydrodynamic flows journal April 2019
Mass-velocity and size-velocity distributions of ejecta cloud from shock-loaded tin surface using atomistic simulations journal April 2015
The Richtmyer-Meshkov instability of a double-layer interface in convergent geometry with magnetohydrodynamics journal July 2018
Three‐dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability journal May 1991
On the Nonlinear Growth of Multiphase Richtmyer–Meshkov Instability in Dilute Gas-Particles Flow * journal January 2020
Numerical investigation of ethylene flame bubble instability induced by shock waves journal March 2008
Evidence for a High-Velocity Carbon-rich Layer in the Type I[CLC]a[/CLC] SN 1990N journal June 1997
The response of plasma density to breaking inertial gravity wave in the lower regions of ionosphere journal April 2014
Boundary conditions for direct simulations of compressible viscous flows journal July 1992
Ejecta sources and scalings
  • Williams, R. J. R.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.5044857
conference January 2018
Evaporation Effects in Shock-Driven Multiphase Instabilities journal April 2017
Global scale, physical models of the F region ionospere journal January 1989
Numerical simulation of collapsing volcanic columns journal March 1993
Large Eddy simulation of shock/homogeneous turbulence interaction journal February 2002
Magnetic-field generation and its effect on ablative Rayleigh–Taylor instability in diffusive ablation fronts journal January 2021
Experimental adventures in variable-density mixing journal November 2018
The Richtmyer–Meshkov instability in magnetohydrodynamics journal August 2009
Fresnel zone plate development for x-ray radiography of hydrodynamic instabilities at the National Ignition Facility journal January 2020
Rayleigh-Taylor Instability in Partially Ionized Compressible Plasmas journal July 2012
2D single-mode Richtmyer–Meshkov instability journal April 2021
Magnetically induced Rayleigh-Taylor instability under rotation: Comparison of experimental and theoretical results journal October 2020
3D Simulations to investigate initial condition effects on the growth of Rayleigh–Taylor mixing journal August 2009
Proof-of-Principle Experiment of a Shock-Induced Combustion Ramjet
  • Veraar, Ronald; Mayer, Alfons; Verreault, Jimmy
  • 16th AIAA/DLR/DGLR International Space Planes and Hypersonic Systems and Technologies Conference https://doi.org/10.2514/6.2009-7432
conference October 2009
Numerical simulation of deflagration-to-detonation transition: the role of shock–flame interactions in turbulent flames journal April 1999
Stability of an Impulsively Accelerated Density Interface in Magnetohydrodynamics journal September 2005
A multiscale model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities journal March 2020
Investigating the Dynamics and Density Evolution of Returning Plasma Blobs from the 2011 june 7 Eruption journal January 2014
Multimode Hydrodynamic Instability Growth of Preimposed Isolated Defects in Ablatively Driven Foils journal July 2020
Explosion Mechanisms of Core-Collapse Supernovae journal November 2012
Experimental determination of the thermal, turbulent, and rotational ion motion and magnetic field profiles in imploding plasmas journal June 2020
Nonlinear evolution of the magnetohydrodynamic Rayleigh-Taylor instability journal September 2007
Convergent Richtmyer–Meshkov instability of heavy gas layer with perturbed inner surface journal September 2020
Modeling of turbulent mixing with an improved K–L model journal September 2020
Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows journal July 1999
Numerical simulation of particle jet formation induced by shock wave acceleration in a Hele-Shaw cell journal November 2017
The Classification of Magnetohydrodynamic Regimes of Thermonuclear Combustion journal September 2014
Fully developed turbulence and statistical mechanics journal January 1978
Large eddy simulation requirements for the Richtmyer-Meshkov instability journal April 2014
A Numerical Example of the Collapse of a Rotating Magnetized Star journal August 1970
Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments journal November 2012
Nonlinear interaction between bulk point vortices and an unstable interface with nonuniform velocity shear such as Richtmyer–Meshkov instability journal May 2020
Experimental measurement of two copropagating shocks interacting with an unstable interface journal October 2020
Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios journal August 2019
Rayleigh-Taylor instability in partially ionized compressible plasmas: One fluid approach journal April 2014
Converging cylindrical shocks in ideal magnetohydrodynamics journal September 2014
Nonlinear evolution of multimode Rayleigh–Taylor instability in two and three dimensions journal June 1995
Ignition of stoichiometric hydrogen-oxygen by water hammer journal January 2021
The late time structure of high density contrast, single mode Richtmyer-Meshkov flow journal July 2016
Particle image velocimetry study of the shock-induced single mode Richtmyer–Meshkov instability journal July 2008
Inertial-confinement fusion with lasers journal May 2016
Rayleigh-Taylor strength experiments of the pressure-induced α→ε→αʹ phase transition in iron
  • Belof, Jonathan L.; Cavallo, R. M.; Olson, Russel T.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686572
conference January 2012
Magnetically Self-Focussing Streams journal June 1934
Similarity Criteria for the Laboratory Simulation of Supernova Hydrodynamics journal June 1999
A study of bubble growth in the compressible Rayleigh–Taylor and Richtmyer–Meshkov instabilities journal January 2020
Nonlinear motion of a current-vortex sheet in MHD Richtmyer-Meshkov instability journal March 2016
Some instabilities of a completely ionized plasma
  • Kruskal, Martin DAvid; Schwarzschild, Martin
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 223, Issue 1154, p. 348-360 https://doi.org/10.1098/rspa.1954.0120
journal May 1954
A simple package for front tracking journal April 2006
Observation of Plasma Instabilities in Quiescent Prominences journal October 2010
Review of pulsed power-driven high energy density physics research on Z at Sandia journal July 2020
Magnetic Topology of Bubbles in Quiescent Prominences journal November 2012
Numerical models of Plinian eruption columns and pyroclastic flows journal January 1989
On the Bell–Plesset effects: The effects of uniform compression and geometrical convergence on the classical Rayleigh–Taylor instability journal November 2004
Chaotic mixing as a renormalization-group fixed point journal April 1990
Interactions between neutral thermospheric composition and the polar ionosphere using a coupled ionosphere-thermosphere model journal January 1987
Direct Numerical Simulation of Free-Surface and Interfacial flow journal January 1999
Critical Balance and the Physics of Magnetohydrodynamic Turbulence journal June 2020
Magnetic Rayleigh-Taylor instability for Pulsar Wind Nebulae in expanding Supernova Remnants journal July 2004
Multiscale kinetic inviscid flux extracted from a gas-kinetic scheme for simulating incompressible and compressible flows journal September 2020
Turbulent Amplification of a Magnetic Field Driven by the Dynamo Effect at Rippled Shocks journal May 2013
Rayleigh–Taylor instability by segregation in an evaporating multicomponent microdroplet journal July 2020
Boussinesq approximation for Rayleigh-Taylor and Richtmyer-Meshkov instabilities journal May 2014
Vertically nested nonhydrostatic model for multiscale resolution of flows in the upper troposphere and lower stratosphere journal March 2009
Elastic Rayleigh–Taylor and Richtmyer–Meshkov instabilities in spherical geometry journal December 2020
Density-ratio-invariant mean-species profile of classical Rayleigh-Taylor mixing journal May 2020
Foreword to the Special Issue on Ejecta journal May 2017
Models for pyroclastic surges and pyroclastic flows journal November 1979
Estimation of spectral characteristics of particles ejected from the free surfaces of metals and liquids under a shock wave effect
  • Georgievskaya, Alla; Raevsky, Viktor Alekseevish
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686448
conference January 2012
Hinode SOT Observations of Solar Quiescent Prominence Dynamics journal February 2008
New Trends in Large-Eddy Simulations of Turbulence journal January 1996
Effects of Initial Perturbations in the Early Moments of an Explosive Dispersal of Particles journal April 2016
Experimental and Numerical Investigation on Interfacial Mass Transfer Mechanism for Rayleigh Convection in Hele-Shaw Cell journal May 2020
Ejecta source and transport modeling in the FLAG hydrocode journal August 2013
Effects of viscosity on the growth of Rayleigh–Taylor instability journal June 2011
VORTEX PARADIGM FOR ACCELERATED INHOMOGENEOUS FLOWS: Visiometrics for the Rayleigh-Taylor and Richtmyer-Meshkov Environments journal January 1999
The mixing transition in turbulent flows journal April 2000
Stirling's supernovae: A survey of the field journal May 1995
The validity of the boussinesq approximation for liquids and gases journal May 1976
Rayleigh–Taylor Instability With Varying Periods of Zero Acceleration journal October 2020
Rayleigh-Taylor Instability: A Status Review of Experimental Designs and Measurement Diagnostics journal October 2020
Experimental astrophysics with high power lasers and Z pinches journal August 2006
A Comparison of Interface Growth Models Applied to Rayleigh–Taylor and Richtmyer–Meshkov Instabilities journal October 2020
Dependence of Enstrophy Transport and Mixed Mass on Dimensionality and Initial Conditions in the Richtmyer–Meshkov Instability Induced Flows1 journal October 2020
Onset of Hydrodynamic Mix in High-Velocity, Highly Compressed Inertial Confinement Fusion Implosions journal August 2013
Scalar Power Spectra and Scalar Structure Function Evolution in the Richtmyer–Meshkov Instability Upon Reshock journal October 2020
Dynamics of Vertical Threads and Descending Knots in a Hedgerow Prominence journal April 2010
Early Time Modifications to the Buoyancy-Drag Model for Richtmyer–Meshkov Mixing journal October 2020
Colloquium: Magnetohydrodynamic turbulence and time scales in astrophysical and space plasmas journal December 2004
Nonlinear bubble competition of the multimode ablative Rayleigh–Taylor instability and applications to inertial confinement fusion journal December 2020
An algorithm for LES of premixed compressible flows using the Conditional Moment Closure model journal August 2011
TURBULENT CHARACTERISTICS IN THE INTENSITY FLUCTUATIONS OF A SOLAR QUIESCENT PROMINENCE OBSERVED BY THE HINODE SOLAR OPTICAL TELESCOPE journal January 2012
Asymptotic behavior of the mixed mass in Rayleigh–Taylor and Richtmyer–Meshkov instability induced flows journal May 2016
Direct Numerical Simulations of Rayleigh-Taylor instability journal December 2011
The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability journal May 2010
The Internal Structure and Propagation of Magnetohydrodynamical Thermonuclear Flames journal November 2016
Effects of Atwood and Reynolds numbers on the evolution of buoyancy-driven homogeneous variable-density turbulence journal May 2020
The physics of fast Z pinches journal January 2000
A vortex-based subgrid stress model for large-eddy simulation journal August 1997
Stellar jets with intrinsically variable sources journal November 1990
Two-stage growth mode for lift-off mechanism in oblique shock-wave/jet interaction journal November 2020
Asymmetric Supernovae from Magnetocentrifugal Jets journal April 2002
Longitudinal and seasonal variation of the equatorial flux tube integrated Rayleigh‐Taylor instability growth rate journal September 2015
Incompressible Rayleigh–Taylor Turbulence journal January 2017
On the miscible Rayleigh–Taylor instability: two and three dimensions journal October 2001
Numerical simulation of turbulent mixing by Rayleigh-Taylor instability journal July 1984
Observations of Plasma Blob Ejection from a Quiescent Prominence by Hinode Solar Optical Telescope journal June 2011
Propagation of Turbulent Flames in Supernovae journal August 1995
Constraining computational modeling of indirect drive double shell capsule implosions using experiments journal March 2021
Viscous effects on the non-classical Rayleigh–Taylor instability of spherical material interfaces journal June 2013
Numerical Simulations of the Magnetic Rayleigh-Taylor Instability in the Kippenhahn-SchlÜTer Prominence Model journal June 2011
Direct numerical simulation and large-eddy simulation of stationary buoyancy-driven turbulence journal December 2009
On divergent Richtmyer–Meshkov instability of a light/heavy interface journal September 2020
Impact of numerical hydrodynamics in turbulent mixing transition simulations journal March 2021
Density Ratio and Entrainment Effects on Asymptotic Rayleigh–Taylor Instability journal December 2017
Numerical study and buoyancy–drag modeling of bubble and spike distances in three-dimensional spherical implosions journal December 2020
Two-fluid simulations of Rayleigh-Taylor instability in a magnetized solar prominence thread: I. Effects of prominence magnetization and mass loading journal February 2021
Blast Wave from a Spherical Charge journal January 1959
On the nature of the magnetic Rayleigh–Taylor instability in astrophysical plasma: the case of uniform magnetic field strength journal July 2016
Taylor instability in solids journal February 1974
Critical Magnetic Field Strength for Suppression of the Richtmyer-Meshkov Instability in Plasmas journal November 2013
Modeling of Thermodynamic Fluctuations in Canonical Shock–Turbulence Interaction journal July 2020
Multiscale modeling and nested simulations of three-dimensional ionospheric plasmas: Rayleigh–Taylor turbulence and nonequilibrium layer dynamics at fine scales journal July 2014
A unified model to study the effects of elasticity, viscosity, and magnetic fields on linear Richtmyer–Meshkov instability journal September 2020
Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws journal June 2001
Pulsating instability and self-acceleration of fast turbulent flames journal January 2015
Lensing effects in a random inhomogeneous medium journal January 2017
Influence of scale-breaking phenomena on turbulent mixing rates journal January 2006
Knudsen Number Effects on Two-Dimensional Rayleigh–Taylor Instability in Compressible Fluid: Based on a Discrete Boltzmann Method journal April 2020
Computational study of the shock driven instability of a multiphase particle-gas system journal February 2016
The Gravitational Stability of Lenses in Magma Mushes: Confined Rayleigh-Taylor Instabilities journal May 2018
On the initialization of Rayleigh–Taylor simulations journal August 2004
The potential of imposed magnetic fields for enhancing ignition probability and fusion energy yield in indirect-drive inertial confinement fusion journal June 2017
Self-similarity and universality in Rayleigh–Taylor, Boussinesq turbulence journal January 2009
Numerical study on the laser ablative Rayleigh–Taylor instability journal April 2020
Multi-mode hydrodynamic evolution of perturbations seeded by isolated surface defects journal October 2020
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae journal July 2006
High-Energy-Density Laboratory Astrophysics Studies of Jets and Bow Shocks journal November 2005
Nano-wrinkles, compactons, and wrinklons associated with laser-induced Rayleigh–Taylor instability: I. Bubble environment journal April 2020
Ejection of Micron-Scale Fragments from Triangular Grooves in Laser Shock-Loaded Copper Samples journal November 2016
Richtmyer-Meshkov instability examinedwith large-scalemolecular dynamics simulations
  • Cherne, Frank J.; Dimonte, Guy; Germann, Timothy C.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686521
conference January 2012
Simulations of Young Type Ia Supernova Remnants Undergoing Shock Acceleration in a Turbulent Medium journal March 2020
Impact of domain size and statistical errors in simulations of homogeneous decaying turbulence and the Richtmyer-Meshkov instability journal April 2016
Astrophysical combustion journal January 2005
Quantifying mixing of Rayleigh-Taylor turbulence journal October 2020
Linear analysis of the Richtmyer-Meshkov instability in shock-flame interactions journal May 2012
Temporal–Spatial Evolution of Kinetic and Thermal Energy Dissipation Rates in a Three-Dimensional Turbulent Rayleigh–Taylor Mixing Zone journal June 2020