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

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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 ∼ 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
Editors	Heinrich Hora , George H Miley
Publisher	Imperial College Press
Pages	253-260
Number of pages	8
Edition	1
ISBN (Electronic)	9781860947278, 9781783260645
ISBN (Print)	186094468X, 9781860944680
DOIs	https://doi.org/10.1142/9781860947278_0019
State	Published - 1 Jan 2005

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 H. Hora , & G. H. Miley (Eds.), Edward Teller Lectures: Lasers and Inertial Fusion Energy (1 ed., 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.",

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",

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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 H Hora & GH Miley (eds), Edward Teller Lectures: Lasers and Inertial Fusion Energy. 1 edn, Imperial College Press, pp. 253-260. https://doi.org/10.1142/9781860947278_0019

Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. / Shvarts, D.; Oron, D.; Kartoon, D. et al.
Edward Teller Lectures: Lasers and Inertial Fusion Energy. ed. / Heinrich Hora ; George H Miley . 1. ed. Imperial College Press, 2005. p. 253-260.

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

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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

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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.

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EP - 260

BT - Edward Teller Lectures

A2 - Hora , Heinrich

A2 - Miley , George H

PB - Imperial College Press

ER -

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

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