Asymptotic behavior of the Rayleigh-Taylor instability

被引：20
作者：
Duchemin, L [1 ]
Josserand, C
Clavin, P
机构：
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Univ Paris 06, CNRS, UMR 7607, Modelisat Mecan Lab, F-75252 Paris, France
[3] Univ Aix Marseille 1, IRPHE, CNRS, F-13384 Marseille, France
[4] Univ Aix Marseille 2, IRPHE, CNRS, F-13384 Marseille, France
来源：
PHYSICAL REVIEW LETTERS | 2005年 / 94卷 / 22期
关键词：
D O I：
10.1103/PhysRevLett.94.224501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：4
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