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• W2003807009 abstract "We investigate long time numerical simulations of the inviscid Rayleigh-Taylor instability at Atwood number one using a boundary integral method. We are able to attain the asymptotic behavior for the spikes predicted by Clavin and Williams for which we give a simplified demonstration. In particular, we observe that the spike's curvature evolves as ${t}^{3}$, while the overshoot in acceleration shows good agreement with the suggested $1/{t}^{5}$ law. Moreover, we obtain consistent results for the prefactor coefficients of the asymptotic laws. Eventually we exhibit the self-similar behavior of the interface profile near the spike." @default.
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• W2003807009 date "2005-06-08" @default.
• W2003807009 modified "2023-09-25" @default.
• W2003807009 title "Asymptotic Behavior of the Rayleigh-Taylor Instability" @default.
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• W2003807009 doi "https://doi.org/10.1103/physrevlett.94.224501" @default.
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