The mixing transition in RayleighTaylor instability

Cook, Andrew W.; Cabot, W.; Miller, Paul L.

doi:10.1017/s0022112004009681

Cited by 241 publications

(226 citation statements)

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“…15, it can be seen that the primary effect of increasing 0 is to increase the percentage by which the impulsive ILT overpredicts the growth rate of the interface in the NL simulation. This effect has also been documented by Cook et al 14 for the hydrodynamic Rayleigh-Taylor instability. The increasing overprediction of …”

Section: Effect Of Increased Perturbation Amplitudesupporting

confidence: 75%

The Richtmyer–Meshkov instability in magnetohydrodynamics

2009

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In ideal magnetohydrodynamics ͑MHD͒, the Richtmyer-Meshkov instability can be suppressed by the presence of a magnetic field. The interface still undergoes some growth, but this is bounded for a finite magnetic field. A model for this flow has been developed by considering the stability of an impulsively accelerated, sinusoidally perturbed density interface in the presence of a magnetic field that is parallel to the acceleration. This was accomplished by analytically solving the linearized initial value problem in the framework of ideal incompressible MHD. To assess the performance of the model, its predictions are compared to results obtained from numerical simulation of impulse driven linearized, shock driven linearized, and nonlinear compressible MHD for a variety of cases. It is shown that the analytical linear model collapses the data from the simulations well. The predicted interface behavior well approximates that seen in compressible linearized simulations when the shock strength, magnetic field strength, and perturbation amplitude are small. For such cases, the agreement with interface behavior that occurs in nonlinear simulations is also reasonable. The effects of increasing shock strength, magnetic field strength, and perturbation amplitude on both the flow and the performance of the model are investigated. This results in a detailed exposition of the features and behavior of the MHD Richtmyer-Meshkov flow. For strong shocks, large initial perturbation amplitudes, and strong magnetic fields, the linear model may give a rough estimate of the interface behavior, but it is not quantitatively accurate. In all cases examined the accuracy of the model is quantified and the flow physics underlying any discrepancies is examined.

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Section: Effect Of Increased Perturbation Amplitudesupporting

confidence: 75%

The Richtmyer–Meshkov instability in magnetohydrodynamics

2009

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“…The relevant acceleration for R-T instability, which appears both in Linear Stability Theory [15] and in the similarity equation for the late-time growth rate [16,17], is Ag, where…”

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confidence: 99%

Rayleigh–Taylor shock waves

Olson

Cook

2007

Physics of Fluids

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Beginning from a state of hydrostatic equilibrium, in which a heavy gas rests atop a light gas in a constant gravitational field, Rayleigh–Taylor instability at the interface will launch a shock wave into the upper fluid. We have performed a series of large-eddy simulations which suggest that the rising bubbles of light fluid act like pistons, compressing the heavy fluid ahead of the fronts and generating shocklets. These shocklets coalesce in multidimensional fashion into a strong normal shock, which increases in strength as it propagates upwards. The simulations demonstrate that the shock Mach number increases faster in three dimensions than it does in two dimensions. The generation of shocks via Rayleigh–Taylor instability could play an important role in type Ia supernovae.

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“…Less-than-complete mixing is a hallmark of rapid growth in the future since horizontal density gradients generate the destabilizing baroclinic torque that perpetuates the RT instability, Another facet of this observation [48,49], as developed in the next section, is that net mass flux across the plane of the initial interface is a good proxy for growth of the mixing layer; the mass flux is zero in the case of completely mixed θ =1 fluid, and increases with reducing θ . The value ofθ tends [47] to an asymptotic value of θ ~ 0.8 for the constant acceleration case.…”

Section: Resultsmentioning

confidence: 94%

“…The normalized mass flux parameter <u 3 c>/ 0.5 tot h is plotted in figure 9. It has been reported in various studies [48,49] that the mass flux plays a crucial role in the conversion of potential energy to kinetic energy of buoyancy driven flows. During deceleration we have statically-stable flow in a wave-like regime.…”

Section: Second Order Momentsmentioning

confidence: 99%

Numerical investigation of initial condition effects on Rayleigh-Taylor instability with acceleration reversals

2016

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The influence of initial conditions on miscible incompressible baroclinically driven Rayleigh-Taylor instability undergoing non-uniform acceleration is explored computationally using an Implicit Large Eddy Simulation (ILES) technique. We consider the particular case of evolution during multiple reversals of acceleration direction, where the flow is alternately statically stable or unstable. In the unstable phase, the flow is driven by the baroclinic release of potential energy, whereas in the stable phase, work is done against the density stratification with the energy exchange taking place by wave-like mechanisms. These dynamics are fundamentally different; here, we track the evolution of volume-averaged turbulent statistics that are most sensitive to changes in the distribution of spectral power and bandwidth of the initial conditions as the flow alternates between dynamical regimes due to acceleration reversal.3

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The mixing transition in RayleighTaylor instability

Cited by 241 publications

References 28 publications

The Richtmyer–Meshkov instability in magnetohydrodynamics

The Richtmyer–Meshkov instability in magnetohydrodynamics

Rayleigh–Taylor shock waves

Numerical investigation of initial condition effects on Rayleigh-Taylor instability with acceleration reversals

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