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:10.1142/9781860947278_0019

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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 tune 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
Title of host publication	Edward Teller Lectures
Subtitle of host publication	Lasers and Inertial Fusion Energy
Publisher	Imperial College Press
Pages	253-260
Number of pages	8
ISBN (Electronic)	9781860947278
ISBN (Print)	186094468X, 9781860944680
DOIs	https://doi.org/10.1142/9781860947278_0019
State	Published - 1 Jan 2005
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2005 by Imperial College Press. All rights reserved.

ASJC Scopus subject areas

General Physics and Astronomy

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10.1142/9781860947278_0019

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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. (2005). Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. In Edward Teller Lectures: Lasers and Inertial Fusion Energy (pp. 253-260). Imperial College Press. https://doi.org/10.1142/9781860947278_0019

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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 tune 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.",

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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 2005, Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. in Edward Teller Lectures: Lasers and Inertial Fusion Energy. Imperial College Press, pp. 253-260. https://doi.org/10.1142/9781860947278_0019

TY - CHAP

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 - 2005/1/1

Y1 - 2005/1/1

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 tune 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 tune 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.

UR - https://www.scopus.com/pages/publications/84967454678

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DO - 10.1142/9781860947278_0019

M3 - Chapter

AN - SCOPUS:84967454678

SN - 186094468X

SN - 9781860944680

SP - 253

EP - 260

BT - Edward Teller Lectures

PB - Imperial College Press

ER -

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

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