Study of Nonlinear Evolution of Single-Mode and Two-Bubble Interaction under Richtmyer-Meshkov Instability

Sadot, O.; Erez, L.; Alon, Uri; Oron, Dan; Levin, Liron; Erez, G.; Ben‐Dor, G.; Shvarts, D.

doi:10.1103/physrevlett.80.1654

Cited by 158 publications

(166 citation statements)

References 24 publications

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“…However, caution should be used in interpreting this result, because implications from the data are insufficiently resolved to warrant such general conclusions. Although the t Ϫ0.74 approach of the growth rate toward zero observed in these experiments is rather rapid, it is slower than the t Ϫ1 behavior proposed in some earlier work, 12,14 and when plotted as ␦(t) ͓Fig. 7͑b͔͒, it is easily distinguishable from that behavior over the time scales of our experiments.…”

Section: Discussioncontrasting

confidence: 37%

The late-time development of the Richtmyer–Meshkov instability

Prasad¹,

Rasheed²,

Kumar³

et al. 2000

Physics of Fluids

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Measurements have been made of the growth by the Richtmyer-Meshkov instability of nominally single-scale perturbations on an air/sulfur hexafluoride ͑SF 6 ) interface in a large shock tube. An approximately sinusoidal shape is given to the interface by a wire mesh which supports a polymeric membrane separating the air from the SF 6 . A single shock wave incident on the interface induces motion by the baroclinic mechanism of vorticity generation. The visual thickness ␦ of the interface is measured from schlieren photographs obtained singly in each run and in high-speed motion pictures. Data are presented for ␦ at times considerably larger than previously reported, and they are tested for self-similarity including independence of initial conditions. Four different initial amplitude/wavelength combinations at one incident shock strength are used to determine the scaling of the data. It is found that the growth rate decreases rapidly with time, d␦/dtϰt Ϫp ͑i.e., ␦ ϰt 1Ϫp ), where 0.67ՇpՇ0.74 and that a small dependence on the initial wavelength 0 persists to large time. The larger value of the power law exponent agrees with the result of the late-time-decay similarity law of Huang and Leonard ͓Phys. Fluids 6, 3765-3775 ͑1994͔͒. The influence of the wire mesh and membrane on the mixing process is assessed.

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Section: Discussioncontrasting

confidence: 37%

The late-time development of the Richtmyer–Meshkov instability

Prasad¹,

Rasheed²,

Kumar³

et al. 2000

Physics of Fluids

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“…This equation can be compared with other, substantially more complex expressions found in other models for the bubble velocity η& [19,20].…”

Section: Models and Levels Of Accuracymentioning

confidence: 99%

Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations

Mikaelian

2010

Phys. Rev. E

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“…(1f) The theoretical model [14] for bubble dynamics appears to be less suited to describe experimental data than is the bubble merger model [16,17]. We also mention the bubble merger model [18][19][20], which correctly predicts the mixing growth rate α, but in contrast with [17], incorrectly predicts the experimental values of the bubble height-to-width ratio.…”

Section: Introductionmentioning

confidence: 99%

New directions for Rayleigh–Taylor mixing

Glimm

Sharp

Kaman

et al. 2013

Phil. Trans. R. Soc. A.

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We study the Rayleigh–Taylor (RT) mixing layer, presenting simulations in agreement with experimental data. This problem is an idealized subproblem of important scientific and engineering problems, such as gravitationally induced mixing in oceanography and performance assessment for inertial confinement fusion. Engineering codes commonly achieve correct simulations through the calibration of adjustable parameters. In this sense, they are interpolative and not predictive. As computational science moves from the interpolative to the predictive and reduces the reliance on experiment, the quality of decision making improves. The diagnosis of errors in a multi-parameter, multi-physics setting is daunting, so we address this issue in the proposed idealized setting. The validation tests presented are thus a test for engineering codes, when used for complex problems containing RT features. The RT growth rate, characterized by a dimensionless but non-universal parameter α , describes the outer edge of the mixing zone. Increasingly accurate front tracking/large eddy simulations reveal the non-universality of the growth rate and agreement with experimental data. Increased mesh resolution allows reduction in the role of key subgrid models. We study the effect of long-wavelength perturbations on the mixing growth rate. A self-similar power law for the initial perturbation amplitudes is here inferred from experimental data. We show a maximum ±5% effect on the growth rate. Large (factors of 2) effects, as predicted in some models and many simulations, are inconsistent with the experimental data of Youngs and co-authors. The inconsistency of the model lies in the treatment of the dynamics of bubbles, which are the shortest-wavelength modes for this problem. An alternative theory for this shortest wavelength, based on the bubble merger model, was previously shown to be consistent with experimental data.

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Study of Nonlinear Evolution of Single-Mode and Two-Bubble Interaction under Richtmyer-Meshkov Instability

Cited by 158 publications

References 24 publications

The late-time development of the Richtmyer–Meshkov instability

The late-time development of the Richtmyer–Meshkov instability

Analytic approach to nonlinear hydrodynamic instabilities driven by time-dependent accelerations

New directions for Rayleigh–Taylor mixing

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