Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions

D. Shvarts; D. Oron; D. Kartoon; A. Rikanati; O. Sadot; Y. Srebro; Y. Yedvab; D. Ofer; A. Levin; E. Sarid; G. Ben-Dor; L. Erez; G. Erez; A. Yosef-Hai; U. Alon; L. Arazi

doi:10.1016/S1296-2147(00)01077-5

Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions

D. Shvarts, D. Oron, D. Kartoon, A. Rikanati, O. Sadot, Y. Srebro, Y. Yedvab, D. Ofer, A. Levin, E. Sarid, G. Ben-Dor, L. Erez, G. Erez, A. Yosef-Hai, U. Alon, L. Arazi

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16 Scopus citations

Abstract

The late-time nonlinear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated using a statistical mechanics model based on single-mode and bubble-competition physics at all Atwood numbers (A) and full numerical simulations in two and three dimensions. It is shown that the RT mixing zone bubble and spike fronts evolve as h ∼ α · A · gt² with different values of α for the bubble and spike fronts. The RM mixing zone fronts evolve as h ∼ t^θ with different values of θ for bubbles and spikes. Similar analysis yields a linear growth with time of the Kelvin-Helmholtz mixing zone. The dependence of the RT and RM scaling parameters on A and the dimensionality will be discussed. The 3D predictions are found to be in good agreement with recent Linear Electric Motor (LEM) experiments.

Original language	English
Pages (from-to)	719-726
Number of pages	8
Journal	Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics
Volume	1
Issue number	6
DOIs	https://doi.org/10.1016/S1296-2147(00)01077-5
State	Published - 1 Jan 2000

Keywords

Hydrodynamic instabilities
Kelvin-Helmholtz
Mixing zone
Numerical simulations
Rayleigh-Taylor instability
Richtmyer-Meskov instability
Temporal growth

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/S1296-2147(00)01077-5

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Shvarts, D., Oron, D., Kartoon, D., Rikanati, A., Sadot, O., Srebro, Y., Yedvab, Y., Ofer, D., Levin, A., Sarid, E., Ben-Dor, G., Erez, L., Erez, G., Yosef-Hai, A., Alon, U., & Arazi, L. (2000). Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics, 1(6), 719-726. https://doi.org/10.1016/S1296-2147(00)01077-5

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title = "Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions",

abstract = "The late-time nonlinear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated using a statistical mechanics model based on single-mode and bubble-competition physics at all Atwood numbers (A) and full numerical simulations in two and three dimensions. It is shown that the RT mixing zone bubble and spike fronts evolve as h ∼ α · A · gt2 with different values of α for the bubble and spike fronts. The RM mixing zone fronts evolve as h ∼ tθ with different values of θ for bubbles and spikes. Similar analysis yields a linear growth with time of the Kelvin-Helmholtz mixing zone. The dependence of the RT and RM scaling parameters on A and the dimensionality will be discussed. The 3D predictions are found to be in good agreement with recent Linear Electric Motor (LEM) experiments.",

keywords = "Hydrodynamic instabilities, Kelvin-Helmholtz, Mixing zone, Numerical simulations, Rayleigh-Taylor instability, Richtmyer-Meskov instability, Temporal growth",

author = "D. Shvarts and D. Oron and D. Kartoon and A. Rikanati and O. Sadot and Y. Srebro and Y. Yedvab and D. Ofer and A. Levin and E. Sarid and G. Ben-Dor and L. Erez and G. Erez and A. Yosef-Hai and U. Alon and L. Arazi",

year = "2000",

month = jan,

day = "1",

doi = "10.1016/S1296-2147(00)01077-5",

language = "English",

volume = "1",

pages = "719--726",

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Shvarts, D, Oron, D, Kartoon, D, Rikanati, A, Sadot, O, Srebro, Y, Yedvab, Y, Ofer, D, Levin, A, Sarid, E , Ben-Dor, G, Erez, L, Erez, G, Yosef-Hai, A, Alon, U & Arazi, L 2000, 'Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions', Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics, vol. 1, no. 6, pp. 719-726. https://doi.org/10.1016/S1296-2147(00)01077-5

TY - JOUR

T1 - Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions

AU - Shvarts, D.

AU - Oron, D.

AU - Kartoon, D.

AU - Rikanati, A.

AU - Sadot, O.

AU - Srebro, Y.

AU - Yedvab, Y.

AU - Ofer, D.

AU - Levin, A.

AU - Sarid, E.

AU - Ben-Dor, G.

AU - Erez, L.

AU - Erez, G.

AU - Yosef-Hai, A.

AU - Alon, U.

AU - Arazi, L.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - The late-time nonlinear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated using a statistical mechanics model based on single-mode and bubble-competition physics at all Atwood numbers (A) and full numerical simulations in two and three dimensions. It is shown that the RT mixing zone bubble and spike fronts evolve as h ∼ α · A · gt2 with different values of α for the bubble and spike fronts. The RM mixing zone fronts evolve as h ∼ tθ with different values of θ for bubbles and spikes. Similar analysis yields a linear growth with time of the Kelvin-Helmholtz mixing zone. The dependence of the RT and RM scaling parameters on A and the dimensionality will be discussed. The 3D predictions are found to be in good agreement with recent Linear Electric Motor (LEM) experiments.

AB - The late-time nonlinear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated using a statistical mechanics model based on single-mode and bubble-competition physics at all Atwood numbers (A) and full numerical simulations in two and three dimensions. It is shown that the RT mixing zone bubble and spike fronts evolve as h ∼ α · A · gt2 with different values of α for the bubble and spike fronts. The RM mixing zone fronts evolve as h ∼ tθ with different values of θ for bubbles and spikes. Similar analysis yields a linear growth with time of the Kelvin-Helmholtz mixing zone. The dependence of the RT and RM scaling parameters on A and the dimensionality will be discussed. The 3D predictions are found to be in good agreement with recent Linear Electric Motor (LEM) experiments.

KW - Hydrodynamic instabilities

KW - Kelvin-Helmholtz

KW - Mixing zone

KW - Numerical simulations

KW - Rayleigh-Taylor instability

KW - Richtmyer-Meskov instability

KW - Temporal growth

UR - https://www.scopus.com/pages/publications/0034239026

U2 - 10.1016/S1296-2147(00)01077-5

DO - 10.1016/S1296-2147(00)01077-5

M3 - Article

AN - SCOPUS:0034239026

SN - 1296-2147

VL - 1

SP - 719

EP - 726

JO - Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics

JF - Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics

IS - 6

ER -

Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions

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Keywords

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