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Title: Simulations and model of the nonlinear Richtmyer–Meshkov instability

Abstract

The nonlinear evolution of the Richtmyer-Meshkov (RM) instability is investigated using numerical simulations with the FLASH code in two-dimensions (2D). The purpose of the simulations is to develop an empiricial nonlinear model of the RM instability that is applicable to inertial confinement fusion (ICF) and ejecta formation, namely, at large Atwood number A and scaled initial amplitude kh o (k ≡ wavenumber) of the perturbation. The FLASH code is first validated with a variety of RM experiments that evolve well into the nonlinear regime. They reveal that bubbles stagnate when they grow by an increment of 2/k and that spikes accelerate for A > 0.5 due to higher harmonics that focus them. These results are then compared with a variety of nonlinear models that are based on potential flow. We find that the models agree with simulations for moderate values of A < 0.9 and kh o< 1, but not for the larger values that characterize ICF and ejecta formation. We thus develop a new nonlinear empirical model that captures the simulation results consistent with potential flow for a broader range of A and kh o. Our hope is that such empirical models concisely capture the RM simulations and inspiremore » more rigorous solutions.« less

Authors:
 [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of North Carolina, Charlotte, NC (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1076442
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Fluids (1994)
Additional Journal Information:
Journal Name: Physics of Fluids (1994); Journal Volume: 22; Journal Issue: 1; Journal ID: ISSN 1070-6631:
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Richtmyer Meshkov instabilities; experiment design; numerical modelling; potential flows; inertial confinement

Citation Formats

Dimonte, Guy, and Ramaprabhu, P. Simulations and model of the nonlinear Richtmyer–Meshkov instability. United States: N. p., 2010. Web. doi:10.1063/1.3276269.
Dimonte, Guy, & Ramaprabhu, P. Simulations and model of the nonlinear Richtmyer–Meshkov instability. United States. doi:10.1063/1.3276269.
Dimonte, Guy, and Ramaprabhu, P. Thu . "Simulations and model of the nonlinear Richtmyer–Meshkov instability". United States. doi:10.1063/1.3276269. https://www.osti.gov/servlets/purl/1076442.
@article{osti_1076442,
title = {Simulations and model of the nonlinear Richtmyer–Meshkov instability},
author = {Dimonte, Guy and Ramaprabhu, P.},
abstractNote = {The nonlinear evolution of the Richtmyer-Meshkov (RM) instability is investigated using numerical simulations with the FLASH code in two-dimensions (2D). The purpose of the simulations is to develop an empiricial nonlinear model of the RM instability that is applicable to inertial confinement fusion (ICF) and ejecta formation, namely, at large Atwood number A and scaled initial amplitude kho (k ≡ wavenumber) of the perturbation. The FLASH code is first validated with a variety of RM experiments that evolve well into the nonlinear regime. They reveal that bubbles stagnate when they grow by an increment of 2/k and that spikes accelerate for A > 0.5 due to higher harmonics that focus them. These results are then compared with a variety of nonlinear models that are based on potential flow. We find that the models agree with simulations for moderate values of A < 0.9 and kho< 1, but not for the larger values that characterize ICF and ejecta formation. We thus develop a new nonlinear empirical model that captures the simulation results consistent with potential flow for a broader range of A and kho. Our hope is that such empirical models concisely capture the RM simulations and inspire more rigorous solutions.},
doi = {10.1063/1.3276269},
journal = {Physics of Fluids (1994)},
number = 1,
volume = 22,
place = {United States},
year = {2010},
month = {1}
}

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