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

D. Shvarts, Dan 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 proceedingChapter

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.

Original languageEnglish
Title of host publicationEdward Teller Lectures: Lasers and Inertial Fusion Energy
PublisherImperial College Press
Pages253-260
Number of pages8
ISBN (Print)9781860947278, 186094468X, 9781860944680
DOIs
Publication statusPublished - Jan 1 2005

Fingerprint

scaling laws
bubbles
spikes
electric motors
statistical mechanics
scaling
perturbation
physics
predictions
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Shvarts, D., Oron, D., Kartoon, D., Rikanati, A., Sadot, O., Srebro, Y., ... 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

Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. / Shvarts, D.; Oron, Dan; 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.

Edward Teller Lectures: Lasers and Inertial Fusion Energy. Imperial College Press, 2005. p. 253-260.

Research output: Chapter in Book/Report/Conference proceedingChapter

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
Shvarts D, Oron D, Kartoon D, Rikanati A, Sadot O, Srebro Y et al. 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. 2005. p. 253-260 https://doi.org/10.1142/9781860947278_0019
Shvarts, D. ; Oron, Dan ; 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. / Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions. Edward Teller Lectures: Lasers and Inertial Fusion Energy. Imperial College Press, 2005. pp. 253-260
@inbook{f79fe4c168a244349898ce6345146707,
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 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 Dan 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 = "2005",
month = "1",
day = "1",
doi = "10.1142/9781860947278_0019",
language = "English",
isbn = "9781860947278",
pages = "253--260",
booktitle = "Edward Teller Lectures: Lasers and Inertial Fusion Energy",
publisher = "Imperial College Press",

}

TY - CHAP

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

AU - Shvarts, D.

AU - Oron, Dan

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 - http://www.scopus.com/inward/record.url?scp=84967454678&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84967454678&partnerID=8YFLogxK

U2 - 10.1142/9781860947278_0019

DO - 10.1142/9781860947278_0019

M3 - Chapter

SN - 9781860947278

SN - 186094468X

SN - 9781860944680

SP - 253

EP - 260

BT - Edward Teller Lectures: Lasers and Inertial Fusion Energy

PB - Imperial College Press

ER -