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• W2783641266 abstract "Experiments and large eddy simulation (LES) were performed to study the development of the Rayleigh–Taylor instability into the saturated, nonlinear regime, produced between two gases accelerated by a rarefaction wave. Single-mode two-dimensional, and single-mode three-dimensional initial perturbations were introduced on the diffuse interface between the two gases prior to acceleration. The rarefaction wave imparts a non-constant acceleration, and a time decreasing Atwood number, $A=(unicode[STIX]{x1D70C}_{2}-unicode[STIX]{x1D70C}_{1})/(unicode[STIX]{x1D70C}_{2}+unicode[STIX]{x1D70C}_{1})$ , where $unicode[STIX]{x1D70C}_{2}$ and $unicode[STIX]{x1D70C}_{1}$ are the densities of the heavy and light gas, respectively. Experiments and simulations are presented for initial Atwood numbers of $A=0.49$ , $A=0.63$ , $A=0.82$ and $A=0.94$ . Nominally two-dimensional (2-D) experiments (initiated with nearly 2-D perturbations) and 2-D simulations are observed to approach an intermediate-time velocity plateau that is in disagreement with the late-time velocity obtained from the incompressible model of Goncharov ( Phys. Rev. Lett. , vol. 88, 2002, 134502). Reacceleration from an intermediate velocity is observed for 2-D bubbles in large wavenumber, $k=2unicode[STIX]{x03C0}/unicode[STIX]{x1D706}=0.247~text{mm}^{-1}$ , experiments and simulations, where $unicode[STIX]{x1D706}$ is the wavelength of the initial perturbation. At moderate Atwood numbers, the bubble and spike velocities approach larger values than those predicted by Goncharov’s model. These late-time velocity trends are predicted well by numerical simulations using the LLNL Miranda code, and by the 2009 model of Mikaelian ( Phys. Fluids. , vol. 21, 2009, 024103) that extends Layzer type models to variable acceleration and density. Large Atwood number experiments show a delayed roll up, and exhibit a free-fall like behaviour. Finally, experiments initiated with three-dimensional perturbations tend to agree better with models and a simulation using the LLNL Ares code initiated with an axisymmetric rather than Cartesian symmetry." @default.
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• W2783641266 date "2018-01-12" @default.
• W2783641266 modified "2023-10-01" @default.
• W2783641266 title "Rarefaction-driven Rayleigh–Taylor instability. Part 2. Experiments and simulations in the nonlinear regime" @default.
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• W2783641266 doi "https://doi.org/10.1017/jfm.2017.893" @default.
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