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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