Scale interactions and anisotropy in Rayleigh–Taylor turbulence

Zhao, Dongxiao; Betti, Riccardo; Aluie, Hussein

doi:10.1017/jfm.2021.902

Title: Scale interactions and anisotropy in Rayleigh–Taylor turbulence

Journal Article · Tue Nov 16 00:00:00 EST 2021 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/jfm.2021.902· OSTI ID:1837434

^[1]; Betti, Riccardo ^[2];

^[2]

Univ. of Rochester, NY (United States); Shanghai Jiao Tong Univ. (China)
Univ. of Rochester, NY (United States)

We study energy scale transfer in Rayleigh–Taylor (RT) flows by coarse graining in physical space without Fourier transforms, allowing scale analysis along the vertical direction. Two processes are responsible for kinetic energy flux across scales: baropycnal work Λ, due to large-scale pressure gradients acting on small scales of density and velocity; and deformation work Π, due to multiscale velocity. Our coarse-graining analysis shows how these fluxes exhibit self-similar evolution that is quadratic-in-time, similar to the RT mixing layer. We find that Λ is a conduit for potential energy, transferring energy non-locally from the largest scales to smaller scales in the inertial range where Π takes over. In three dimensions, Π continues a persistent cascade to smaller scales, whereas in two dimensions Π rechannels the energy back to larger scales despite the lack of vorticity conservation in two-dimensional (2-D) variable density flows. This gives rise to a positive feedback loop in 2-D RT (absent in three dimensions) in which mixing layer growth and the associated potential energy release are enhanced relative to 3-D RT, explaining the oft-observed larger α values in 2-D simulations. Despite higher bulk kinetic energy levels in two dimensions, small inertial scales are weaker than in three dimensions. Moreover, the net upscale cascade in two dimensions tends to isotropize the large-scale flow, in stark contrast to three dimensions. Furthermore, our findings indicate the absence of net upscale energy transfer in three-dimensional RT as is often claimed; growth of large-scale bubbles and spikes is not due to ‘mergers’ but solely due to baropycnal work Λ.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Argonne National Laboratory (ANL), Argonne, IL (United States). Argonne Leadership Computing Facility (ALCF)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA); National Aeronautics and Space Administration (NASA); National Science Foundation (NSF)

Grant/Contract Number:: NA0003856; SC0014318; SC0020229; 80NSSC18K0772; PHY-2020249; SC0019329; NA0003914; AC02-05CH11231; AC02-06CH11357

OSTI ID:: 1837434

Alternate ID(s):: OSTI ID: 1864922; OSTI ID: 1903417

Journal Information:: Journal of Fluid Mechanics, Vol. 930; ISSN 0022-1120

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

References (107)

Multi-scale gradient expansion of the turbulent stress tensor Eyink, Gregory L. Journal of Fluid Mechanics, Vol. 549, Issue -1 https://doi.org/10.1017/S0022112005007895	journal	February 2006
Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining Eyink, Gregory L.; Aluie, Hussein Physics of Fluids, Vol. 21, Issue 11 https://doi.org/10.1063/1.3266883	journal	November 2009
Modal model for the nonlinear multimode Rayleigh–Taylor instability Ofer, D.; Alon, U.; Shvarts, D. Physics of Plasmas, Vol. 3, Issue 8 https://doi.org/10.1063/1.871655	journal	August 1996
Two-Dimensional Turbulence Boffetta, Guido; Ecke, Robert E. Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101240	journal	January 2012
Revisiting the late-time growth of single-mode Rayleigh–Taylor instability and the role of vorticity Bian, Xin; Aluie, Hussein; Zhao, Dongxiao Physica D: Nonlinear Phenomena, Vol. 403 https://doi.org/10.1016/j.physd.2019.132250	journal	February 2020
Analysis of turbulent transport and mixing in transitional Rayleigh–Taylor unstable flow using direct numerical simulation data Schilling, Oleg; Mueschke, Nicholas J. Physics of Fluids, Vol. 22, Issue 10 https://doi.org/10.1063/1.3484247	journal	October 2010
Analytical Model of Nonlinear, Single-Mode, Classical Rayleigh-Taylor Instability at Arbitrary Atwood Numbers Goncharov, V. N. Physical Review Letters, Vol. 88, Issue 13 https://doi.org/10.1103/PhysRevLett.88.134502	journal	March 2002
Comprehensive numerical methodology for direct numerical simulations of compressible Rayleigh–Taylor instability Reckinger, Scott J.; Livescu, Daniel; Vasilyev, Oleg V. Journal of Computational Physics, Vol. 313 https://doi.org/10.1016/j.jcp.2015.11.002	journal	May 2016
Core-collapse supernova simulations in one and two dimensions: comparison of codes and approximations Just, O.; Bollig, R.; Janka, H-Th Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 4 https://doi.org/10.1093/mnras/sty2578	journal	September 2018
Study of ultrahigh Atwood-number Rayleigh–Taylor mixing dynamics using the nonlinear large-eddy simulation method Burton, Gregory C. Physics of Fluids, Vol. 23, Issue 4 https://doi.org/10.1063/1.3549931	journal	April 2011
Experimental study of Rayleigh–Taylor instability with a complex initial perturbation Olson, D. H.; Jacobs, J. W. Physics of Fluids, Vol. 21, Issue 3 https://doi.org/10.1063/1.3085811	journal	March 2009
Scale-to-scale energy and enstrophy transport in two-dimensional Rayleigh–Taylor turbulence Zhou, Quan; Huang, Yong-Xiang; Lu, Zhi-Ming Journal of Fluid Mechanics, Vol. 786 https://doi.org/10.1017/jfm.2015.673	journal	December 2015
Stable Steady Flows in Rayleigh-Taylor Instability Abarzhi, S. I. Physical Review Letters, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevLett.81.337	journal	July 1998
Scale decomposition in compressible turbulence Aluie, Hussein Physica D: Nonlinear Phenomena, Vol. 247, Issue 1 https://doi.org/10.1016/j.physd.2012.12.009	journal	March 2013
Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers Banerjee, Arindam; Kraft, Wayne N.; Andrews, Malcolm J. Journal of Fluid Mechanics, Vol. 659 https://doi.org/10.1017/S0022112010002351	journal	August 2010
A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence Li, Yi; Perlman, Eric; Wan, Minping Journal of Turbulence, Vol. 9 https://doi.org/10.1080/14685240802376389	journal	January 2008
Variable-density effects in incompressible non-buoyant shear-driven turbulent mixing layers Baltzer, Jon R.; Livescu, Daniel Journal of Fluid Mechanics, Vol. 900 https://doi.org/10.1017/jfm.2020.466	journal	August 2020
Self-Similar Multimode Bubble-Front Evolution of the Ablative Rayleigh-Taylor Instability in Two and Three Dimensions Zhang, H.; Betti, R.; Yan, R. Physical Review Letters, Vol. 121, Issue 18 https://doi.org/10.1103/PhysRevLett.121.185002	journal	October 2018
Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility Clark, D. S.; Weber, C. R.; Milovich, J. L. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4943527	journal	March 2016
Toward a burning plasma state using diamond ablator inertially confined fusion (ICF) implosions on the National Ignition Facility (NIF) Hopkins, L. Berzak; LePape, S.; Divol, L. Plasma Physics and Controlled Fusion, Vol. 61, Issue 1 https://doi.org/10.1088/1361-6587/aad97e	journal	November 2018
Inviscid criterion for decomposing scales Zhao, Dongxiao; Aluie, Hussein Physical Review Fluids, Vol. 3, Issue 5 https://doi.org/10.1103/PhysRevFluids.3.054603	journal	May 2018
Recent advances in the turbulent Rayleigh–Taylor instability Dimonte, Guy; Ramaprabhu, P.; Youngs, D. L. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1871952	journal	May 2005
Theory of the Rayleigh-Taylor instability Kull, H. J. Physics Reports, Vol. 206, Issue 5 https://doi.org/10.1016/0370-1573(91)90153-D	journal	August 1991
A scaling analysis of turbulent flows driven by Rayleigh–Taylor and Richtmyer–Meshkov instabilities Zhou, Ye Physics of Fluids, Vol. 13, Issue 2 https://doi.org/10.1063/1.1336151	journal	February 2001
The direct enstrophy cascade of two-dimensional soap film flows Rivera, M. K.; Aluie, H.; Ecke, R. E. Physics of Fluids, Vol. 26, Issue 5 https://doi.org/10.1063/1.4873579	journal	May 2014
Locality of turbulent cascades Eyink, Gregory L. Physica D: Nonlinear Phenomena, Vol. 207, Issue 1-2 https://doi.org/10.1016/j.physd.2005.05.018	journal	July 2005
Turbulence theories and statistical closure approaches Zhou, Ye Physics Reports, Vol. 935 https://doi.org/10.1016/j.physrep.2021.07.001	journal	November 2021
Inhibition of turbulence in inertial-confinement-fusion hot spots by viscous dissipation Weber, C. R.; Clark, D. S.; Cook, A. W. Physical Review E, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevE.89.053106	journal	May 2014
Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios Zhou, Ye; Cabot, William H. Physics of Fluids, Vol. 31, Issue 8 https://doi.org/10.1063/1.5110914	journal	August 2019
Compact finite difference schemes with spectral-like resolution Lele, Sanjiva K. Journal of Computational Physics, Vol. 103, Issue 1 https://doi.org/10.1016/0021-9991(92)90324-R	journal	November 1992
Nonlinear evolution of multimode Rayleigh–Taylor instability in two and three dimensions Shvarts, D.; Alon, U.; Ofer, D. Physics of Plasmas, Vol. 2, Issue 6 https://doi.org/10.1063/1.871476	journal	June 1995
Energy transfer in Rayleigh-Taylor instability Cook, Andrew W.; Zhou, Ye Physical Review E, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevE.66.026312	journal	August 2002
Effect of cross-beam energy transfer on target-offset asymmetry in direct-drive inertial confinement fusion implosions Anderson, K. S.; Forrest, C. J.; Mannion, O. M. Physics of Plasmas, Vol. 27, Issue 11 https://doi.org/10.1063/5.0015781	journal	November 2020
Inertial-confinement fusion with lasers Betti, R.; Hurricane, O. A. Nature Physics, Vol. 12, Issue 5 https://doi.org/10.1038/nphys3736	journal	May 2016
Advection and the Efficiency of Spectral Energy Transfer in Two-Dimensional Turbulence Fang, Lei; Ouellette, Nicholas T. Physical Review Letters, Vol. 117, Issue 10 https://doi.org/10.1103/PhysRevLett.117.104501	journal	August 2016
Variable-density mixing in buoyancy-driven turbulence Livescu, D.; Ristorcelli, J. R. Journal of Fluid Mechanics, Vol. 605 https://doi.org/10.1017/S0022112008001481	journal	May 2008
Inertial Ranges in Two-Dimensional Turbulence Kraichnan, Robert H. Physics of Fluids, Vol. 10, Issue 7 https://doi.org/10.1063/1.1762301	journal	January 1967
Effects of isothermal stratification strength on vorticity dynamics for single-mode compressible Rayleigh-Taylor instability Wieland, Scott A.; Hamlington, Peter E.; Reckinger, Scott J. Physical Review Fluids, Vol. 4, Issue 9 https://doi.org/10.1103/PhysRevFluids.4.093905	journal	September 2019
Influence of orientation on the evolution of small perturbations in compressible shear layers with inflection points Karimi, Mona; Girimaji, Sharath S. Physical Review E, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevE.95.033112	journal	March 2017
Effects of Background Stratification on the Compressible Rayleigh Taylor Instability Wieland, Scott; Reckinger, Scott; Hamlington, Peter E. 47th AIAA Fluid Dynamics Conference https://doi.org/10.2514/6.2017-3974	conference	June 2017
Energy and spectral dynamics in forced compressible turbulence Kida, Shigeo; Orszag, Steven A. Journal of Scientific Computing, Vol. 5, Issue 2 https://doi.org/10.1007/BF01065580	journal	June 1990
A novel two-dimensional coupled lattice Boltzmann model for incompressible flow in application of turbulence Rayleigh–Taylor instability Wei, Yikun; Dou, Hua-Shu; Qian, Yuehong Computers & Fluids, Vol. 156 https://doi.org/10.1016/j.compfluid.2017.07.003	journal	October 2017
Impact of Neutrino Opacities on Core-collapse Supernova Simulations Kotake, Kei; Takiwaki, Tomoya; Fischer, Tobias The Astrophysical Journal, Vol. 853, Issue 2 https://doi.org/10.3847/1538-4357/aaa716	journal	February 2018
Dependence of turbulent Rayleigh-Taylor instability on initial perturbations Dimonte, Guy Physical Review E, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevE.69.056305	journal	May 2004
Rayleigh–Taylor mixing in an otherwise stable stratification Lawrie, Andrew G. W.; Dalziel, Stuart B. Journal of Fluid Mechanics, Vol. 688 https://doi.org/10.1017/jfm.2011.398	journal	November 2011
Comparison of two- and three-dimensional simulations of miscible Rayleigh-Taylor instability Cabot, W. Physics of Fluids, Vol. 18, Issue 4 https://doi.org/10.1063/1.2191856	journal	April 2006
On the Instability of Superposed Fluids in a Gravitational Field. Layzer, David The Astrophysical Journal, Vol. 122 https://doi.org/10.1086/146048	journal	July 1955
Influence of subgrid scales on resolvable turbulence and mixing in Rayleigh–Taylor flow Cabot, William H.; Schilling, Oleg; Zhou, Ye Physics of Fluids, Vol. 16, Issue 3 https://doi.org/10.1063/1.1636477	journal	March 2004
Mixing in ICF implosions on the National Ignition Facility caused by the fill-tube Weber, C. R.; Clark, D. S.; Pak, A. Physics of Plasmas, Vol. 27, Issue 3 https://doi.org/10.1063/1.5125599	journal	March 2020
Bolgiano scale in confined Rayleigh–Taylor turbulence Boffetta, G.; De Lillo, F.; Mazzino, A. Journal of Fluid Mechanics, Vol. 690 https://doi.org/10.1017/jfm.2011.446	journal	November 2011
Further space-time correlations of velocity in a turbulent boundary layer Favre, A. J.; Gaviglio, J. J.; Dumas, R. J. Journal of Fluid Mechanics, Vol. 3, Issue 4 https://doi.org/10.1017/S0022112058000021	journal	January 1958
Phenomenology of Rayleigh-Taylor Turbulence Chertkov, Michael Physical Review Letters, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevLett.91.115001	journal	September 2003
Exact Results on Scaling Exponents in the 2D Enstrophy Cascade Eyink, Gregory L. Physical Review Letters, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevLett.74.3800	journal	May 1995
Subgrid‐scale backscatter in turbulent and transitional flows Piomelli, Ugo; Cabot, William H.; Moin, Parviz Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 7 https://doi.org/10.1063/1.857956	journal	July 1991
Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows Leonard, A. Turbulent Diffusion in Environmental Pollution, Proceedings of a Symposium held at Charlottesville https://doi.org/10.1016/S0065-2687(08)60464-1	book	January 1975
Compressibility effects on the Rayleigh–Taylor instability growth between immiscible fluids Livescu, D. Physics of Fluids, Vol. 16, Issue 1 https://doi.org/10.1063/1.1630800	journal	January 2004
Validation of the Sharp–Wheeler bubble merger model from experimental and computational data Glimm, J.; Li, X. L. Physics of Fluids, Vol. 31, Issue 8 https://doi.org/10.1063/1.866660	journal	January 1988
Cascades and transitions in turbulent flows Alexakis, A.; Biferale, L. Physics Reports, Vol. 767-769 https://doi.org/10.1016/j.physrep.2018.08.001	journal	November 2018
Carbon ablator areal density at fusion burn: Observations and trends at the National Ignition Facility Meaney, K. D.; Kim, Y.; Geppert-Kleinrath, H. Physics of Plasmas, Vol. 27, Issue 5 https://doi.org/10.1063/1.5139913	journal	May 2020
Three-Dimensional Simulations of Rayleigh-Taylor Mixing in Core-Collapse Supernovae Joggerst, C. C.; Almgren, A.; Woosley, S. E. The Astrophysical Journal, Vol. 723, Issue 1 https://doi.org/10.1088/0004-637X/723/1/353	journal	October 2010
Turbulence with Large Thermal and Compositional Density Variations Livescu, Daniel Annual Review of Fluid Mechanics, Vol. 52, Issue 1 https://doi.org/10.1146/annurev-fluid-010719-060114	journal	January 2020
High-Reynolds number Rayleigh–Taylor turbulence Livescu, D.; Ristorcelli, J. R.; Gore, R. A. Journal of Turbulence, Vol. 10 https://doi.org/10.1080/14685240902870448	journal	January 2009
Statistics of turbulence subgrid‐scale stresses: Necessary conditions and experimental tests Meneveau, Charles Physics of Fluids, Vol. 6, Issue 2 https://doi.org/10.1063/1.868320	journal	February 1994
Compressible Turbulence: The Cascade and its Locality Aluie, Hussein Physical Review Letters, Vol. 106, Issue 17 https://doi.org/10.1103/PhysRevLett.106.174502	journal	April 2011
Filtering, averaging, and scale dependency in homogeneous variable density turbulence Saenz, J. A.; Aslangil, D.; Livescu, D. Physics of Fluids, Vol. 33, Issue 2 https://doi.org/10.1063/5.0040337	journal	February 2021
Viscous effects on the Rayleigh-Taylor instability with background temperature gradient Gerashchenko, S.; Livescu, D. Physics of Plasmas, Vol. 23, Issue 7 https://doi.org/10.1063/1.4959810	journal	July 2016
Statistical measurements of scaling and anisotropy of turbulent flows induced by Rayleigh-Taylor instability Cabot, W.; Zhou, Ye Physics of Fluids, Vol. 25, Issue 1 https://doi.org/10.1063/1.4774338	journal	January 2013
Incompressible Rayleigh–Taylor Turbulence Boffetta, Guido; Mazzino, Andrea Annual Review of Fluid Mechanics, Vol. 49, Issue 1 https://doi.org/10.1146/annurev-fluid-010816-060111	journal	January 2017
Baropycnal Work: A Mechanism for Energy Transfer across Scales Lees, Aarne; Aluie, Hussein Fluids, Vol. 4, Issue 2 https://doi.org/10.3390/fluids4020092	journal	May 2019
Kinetic energy transfer in compressible isotropic turbulence Wang, Jianchun; Wan, Minping; Chen, Song Journal of Fluid Mechanics, Vol. 841 https://doi.org/10.1017/jfm.2018.23	journal	February 2018
Buoyancy-driven variable-density turbulence Livescu, D.; Ristorcelli, J. R. Journal of Fluid Mechanics, Vol. 591 https://doi.org/10.1017/S0022112007008270	journal	October 2007
Scale-Invariance and Turbulence Models for Large-Eddy Simulation Meneveau, Charles; Katz, Joseph Annual Review of Fluid Mechanics, Vol. 32, Issue 1 https://doi.org/10.1146/annurev.fluid.32.1.1	journal	January 2000
Rayleigh–Taylor and Kelvin–Helmholtz instability studied in the frame of a dimension-reduced model Bestehorn, Michael Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2174 https://doi.org/10.1098/rsta.2019.0508	journal	June 2020
New phenomena in variable-density Rayleigh–Taylor turbulence Livescu, D.; Ristorcelli, J. R.; Petersen, M. R. Physica Scripta, Vol. T142 https://doi.org/10.1088/0031-8949/2010/T142/014015	journal	December 2010
Aspect-ratio-constrained Rayleigh–Taylor instability Horne, J. T.; Lawrie, A. G. W. Physica D: Nonlinear Phenomena, Vol. 406 https://doi.org/10.1016/j.physd.2020.132442	journal	May 2020
Rayleigh–Taylor instability in magnetohydrodynamic simulations of the Crab nebula Porth, Oliver; Komissarov, Serguei S.; Keppens, Rony Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 1 https://doi.org/10.1093/mnras/stu1082	journal	July 2014
An overview of Rayleigh-Taylor instability Sharp, D. H. Physica D: Nonlinear Phenomena, Vol. 12, Issue 1-3 https://doi.org/10.1016/0167-2789(84)90510-4	journal	July 1984
Gas Dynamics of the Nickel-56 Decay Heating in Pair-instability Supernovae Chen, Ke-Jung; Woosley, S. E.; Whalen, Daniel J. The Astrophysical Journal, Vol. 897, Issue 2 https://doi.org/10.3847/1538-4357/ab9819	journal	July 2020
Numerical simulation of mixing by Rayleigh–Taylor and Richtmyer–Meshkov instabilities Youngs, D. L. Laser and Particle Beams, Vol. 12, Issue 4 https://doi.org/10.1017/S0263034600008557	journal	December 1994
Kolmogorov scaling and intermittency in Rayleigh-Taylor turbulence Boffetta, G.; Mazzino, A.; Musacchio, S. Physical Review E, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevE.79.065301	journal	June 2009
Late-time quadratic growth in single-mode Rayleigh-Taylor instability Wei, Tie; Livescu, Daniel Physical Review E, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevE.86.046405	journal	October 2012
A three-dimensional renormalization group bubble merger model for Rayleigh–Taylor mixing Cheng, Baolian; Glimm, J.; Sharp, D. H. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 12, Issue 2 https://doi.org/10.1063/1.1460942	journal	March 2002
Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-Graining Approach Aluie, Hussein; Hecht, Matthew; Vallis, Geoffrey K. Journal of Physical Oceanography, Vol. 48, Issue 2 https://doi.org/10.1175/JPO-D-17-0100.1	journal	February 2018
Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter Aluie, Hussein; Eyink, Gregory L. Physics of Fluids, Vol. 21, Issue 11 https://doi.org/10.1063/1.3266948	journal	November 2009
Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions Patterson, G. S. Physics of Fluids, Vol. 14, Issue 11 https://doi.org/10.1063/1.1693365	journal	January 1971
Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws Oron, D.; Arazi, L.; Kartoon, D. Physics of Plasmas, Vol. 8, Issue 6 https://doi.org/10.1063/1.1362529	journal	June 2001
The late-time dynamics of the single-mode Rayleigh-Taylor instability Ramaprabhu, P.; Dimonte, Guy; Woodward, P. Physics of Fluids, Vol. 24, Issue 7 https://doi.org/10.1063/1.4733396	journal	July 2012
Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers Zhang, H.; Betti, R.; Gopalaswamy, V. Physical Review E, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevE.97.011203	journal	January 2018
Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios Alon, U.; Hecht, J.; Ofer, D. Physical Review Letters, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevLett.74.534	journal	January 1995
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration Dimonte, Guy; Youngs, D. L.; Dimits, A. Physics of Fluids, Vol. 16, Issue 5 https://doi.org/10.1063/1.1688328	journal	May 2004
Rayleigh–Taylor turbulence: self-similar analysis and direct numerical simulations Ristorcelli, J. R.; Clark, T. T. Journal of Fluid Mechanics, Vol. 507 https://doi.org/10.1017/S0022112004008286	journal	May 2004
Type Ia Supernova Explosion Models Hillebrandt, Wolfgang; Niemeyer, Jens C. Annual Review of Astronomy and Astrophysics, Vol. 38, Issue 1 https://doi.org/10.1146/annurev.astro.38.1.191	journal	September 2000
Temperature distributions and gradients in laser-heated plasmas relevant to magnetized liner inertial fusion Carpenter, K. R.; Mancini, R. C.; Harding, E. C. Physical Review E, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevE.102.023209	journal	August 2020
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
Cascade of Kinetic Energy in Three-Dimensional Compressible Turbulence Wang, Jianchun; Yang, Yantao; Shi, Yipeng Physical Review Letters, Vol. 110, Issue 21 https://doi.org/10.1103/PhysRevLett.110.214505	journal	May 2013
Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh–Taylor instability Livescu, D. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003 https://doi.org/10.1098/rsta.2012.0185	journal	November 2013
Turbulence: the filtering approach Germano, M. Journal of Fluid Mechanics, Vol. 238 https://doi.org/10.1017/S0022112092001733	journal	May 1992
High-order, stable, and conservative boundary schemes for central and compact finite differences Brady, P. T.; Livescu, D. Computers & Fluids, Vol. 183 https://doi.org/10.1016/j.compfluid.2018.12.010	journal	April 2019
Three‐dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability Youngs, David L. Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5 https://doi.org/10.1063/1.858059	journal	May 1991
Computational investigation of single mode vs multimode Rayleigh–Taylor seeding in Z-pinch implosions Douglas, M. R.; Deeney, C.; Roderick, N. F. Physics of Plasmas, Vol. 5, Issue 12 https://doi.org/10.1063/1.873153	journal	December 1998
On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets Bodony, Daniel J.; Lele, Sanjiva K. Physics of Fluids, Vol. 17, Issue 8 https://doi.org/10.1063/1.2001689	journal	August 2005
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae Cabot, William H.; Cook, Andrew W. Nature Physics, Vol. 2, Issue 8 https://doi.org/10.1038/nphys361	journal	July 2006
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I Taylor, Geoffrey Ingram Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 192-196 https://doi.org/10.1098/rspa.1950.0052	journal	March 1950
Energy cascade and scaling in supersonic isothermal turbulence Kritsuk, Alexei G.; Wagner, Rick; Norman, Michael L. Journal of Fluid Mechanics, Vol. 729 https://doi.org/10.1017/jfm.2013.342	journal	July 2013
Transition stages of Rayleigh–Taylor instability between miscible fluids Cook, Andrew W.; Dimotakis, Paul E. Journal of Fluid Mechanics, Vol. 443 https://doi.org/10.1017/S0022112001005377	journal	September 2001
Progress in understanding turbulent mixing induced by Rayleigh–Taylor and Richtmyer–Meshkov instabilities Zhou, Ye; Remington, B. A.; Robey, H. F. Physics of Plasmas, Vol. 10, Issue 5 https://doi.org/10.1063/1.1560923	journal	May 2003
Physical Mechanism of the Two-Dimensional Enstrophy Cascade Chen, Shiyi; Ecke, Robert E.; Eyink, Gregory L. Physical Review Letters, Vol. 91, Issue 21 https://doi.org/10.1103/physrevlett.91.214501	journal	November 2003

Similar Records

Energy transfer and scale dynamics in 2D and 3D laser-driven jets

Journal Article · Sun Jan 01 00:00:00 EST 2023 · Physics of Plasmas · OSTI ID:1837434

Yin, Hao; Shang, Jessica K; Blackman, Eric G; +2 more

Measuring scale-dependent shape anisotropy by coarse-graining: Application to inhomogeneous Rayleigh-Taylor turbulence

Journal Article · Tue Nov 07 00:00:00 EST 2023 · Physical Review Fluids (Online) · OSTI ID:1837434

Zhao, Dongxiao; Aluie, Hussein

Global cascade of kinetic energy in the ocean and the atmospheric imprint

Journal Article · Wed Dec 20 00:00:00 EST 2023 · Science Advances · OSTI ID:1837434

Storer, Benjamin A.; Buzzicotti, Michele; Khatri, Hemant; +2 more

Related Subjects

42 ENGINEERING
Convection: Buoyancy-driven instability
Turbulent Flows: Compressible turbulence
Turbulent Flows: Turbulence simulation

Title: Scale interactions and anisotropy in Rayleigh–Taylor turbulence

Citation Formats

References (107)

Similar Records

Related Subjects