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

Aslangil, Denis; Banerjee, Arindam; Lawrie, Andrew

doi:10.1103/physreve.94.053114

Cited by 27 publications

(27 citation statements)

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“…In the same year, Zhou et al used a numerical method to analyze the statistics of the kinetic energy and thermal energy dissipation rate of 2D RT turbulence [ 28 ]. Aslangil et al used an implicit large eddy simulation technique to analyze the effect of initial conditions on the stability of miscible incompressible barotropic pressure driven RT under non-uniform acceleration conditions [ 29 ]. In 2018, Zhang et al studied the instability of 2D and 3D multimode ablation RT.…”

Section: Introductionmentioning

confidence: 99%

Knudsen Number Effects on Two-Dimensional Rayleigh–Taylor Instability in Compressible Fluid: Based on a Discrete Boltzmann Method

Yé

Lai

et al. 2020

Entropy

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Based on the framework of our previous work [H.L. Lai et al., Phys. Rev. E, 94, 023106 (2016)], we continue to study the effects of Knudsen number on two-dimensional Rayleigh–Taylor (RT) instability in compressible fluid via the discrete Boltzmann method. It is found that the Knudsen number effects strongly inhibit the RT instability but always enormously strengthen both the global hydrodynamic non-equilibrium (HNE) and thermodynamic non-equilibrium (TNE) effects. Moreover, when Knudsen number increases, the Kelvin–Helmholtz instability induced by the development of the RT instability is difficult to sufficiently develop in the later stage. Different from the traditional computational fluid dynamics, the discrete Boltzmann method further presents a wealth of non-equilibrium information. Specifically, the two-dimensional TNE quantities demonstrate that, far from the disturbance interface, the value of TNE strength is basically zero; the TNE effects are mainly concentrated on both sides of the interface, which is closely related to the gradient of macroscopic quantities. The global TNE first decreases then increases with evolution. The relevant physical mechanisms are analyzed and discussed.

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Section: Introductionmentioning

confidence: 99%

Knudsen Number Effects on Two-Dimensional Rayleigh–Taylor Instability in Compressible Fluid: Based on a Discrete Boltzmann Method

Yé

Lai

et al. 2020

Entropy

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“…As a result, increasing attention has been given in recent years to Rayleigh-Taylor instability undergoing variable acceleration (see, in particular, Refs. [15][16][17][18][19][20][21][22]).…”

Section: Introductionmentioning

confidence: 99%

“…Subsequent work compared implicit large eddy simulations (ILES) [23] with previously unpublished experimental results (A ¼ 0.48) [24], and it was concluded that ILES with a broadband initial perturbation spectrum matched the experiments. Some more recent work has focused on the sensitivity of future development to initial conditions [19] and has found that structural features of the initial condition persist through to the second acceleration. Another recent study also examined the sensitivity to duration of deceleration [21].…”

Section: Introductionmentioning

confidence: 99%

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Rayleigh–Taylor Instability With Varying Periods of Zero Acceleration

Aslangil

Farley

Lawrie

et al. 2020

Journal of Fluids Engineering

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We present our findings from a numerical investigation of the acceleration-driven Rayleigh-Taylor Instability, modulated by varying periods without an applied acceleration field. It is well known from studies on shock-driven Richtmyer-Meshkov instability that mixing without external forcing grows with a scaling exponent as ~ t^{0.20-0.28}. When the Rayleigh-Taylor Instability is subjected to varying periods of "zero" acceleration, the structural changes to the mixing layer remain remarkably small. After the acceleration is re-applied, the mixing layer quickly resumes the profile of development it would have had if there had been no intermission. This behaviour contrasts in particular with the strong sensitivity that is found to other variable acceleration profiles examined previously in the literature.

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“…Later, one of the most important numerical simulations conducted was the 3072 3 direct numerical simulation of multimode RTI by Cabot and Cook [22]. More recently, the numerical investigations of Aslangil et al [23] and Ramaprabhu et al [24] have focused on the effects of time varying acceleration profiles. Turbulent RTI has been described as a process of self-similar mixing layer growth resulting from the interaction of bubbles of different length scales.…”

Section: Introductionmentioning

confidence: 99%

Experiments and Simulations on the Turbulent, Rarefaction Wave Driven Rayleigh–Taylor Instability

Morgan

Jacobs

2020

Journal of Fluids Engineering

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Experiments were performed to observe the growth of the turbulent Rayleigh-Taylor unstable mixing layer generated between air and SF6, with an Atwood number of A=(?2-?1)/(?2+?1)=0.64, where ?1 and ?2 are the densities of air and SF6 respectively. A non-constant acceleration with an average value of 2300g0, where g0 is the acceleration due to gravity, was generated by interaction of the interface between the two gases with a rarefaction wave. Three-dimensional multi-mode perturbations were generated on the diffuse interface, with a diffusion layer thickness of d=3.6mm, using a membraneless vertical oscillation technique, and 20 experiments were performed to establish a statistical ensemble. The average perturbation from this ensemble was found and used as input for a numerical simulation using the LLNL Miranda code. Good qualitative agreement between the experiment and simulation was observed, while quantitative agreement was best at early to intermediate times. Several methods were used to extract the turbulent growth constant a from experiments and simulations while accounting for time varying acceleration. Experimental, average bubble and spike asymptotic self-similar growth rate values range from a=0.022 to a=0.032 depending on the method used, and whether or not they account for variable acceleration. Values found from the simulations range from a=0.024 to a=0.041. Values of a measured in the experiments are lower than what are typically measured, but are more in line with those found in recent simulations.

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

Cited by 27 publications

References 50 publications

Knudsen Number Effects on Two-Dimensional Rayleigh–Taylor Instability in Compressible Fluid: Based on a Discrete Boltzmann Method

Knudsen Number Effects on Two-Dimensional Rayleigh–Taylor Instability in Compressible Fluid: Based on a Discrete Boltzmann Method

Rayleigh–Taylor Instability With Varying Periods of Zero Acceleration

Experiments and Simulations on the Turbulent, Rarefaction Wave Driven Rayleigh–Taylor Instability

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