This article is cited in 2 papers

PLASMA, HYDRO- AND GAS DYNAMICS

Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density

V. P. Goncharov^a, V. I. Pavlov<sup>b

a</sup> Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russia
^b UFR des Mathématiques Pures et Appliquées – LML CNRS UMR 8107, Université de Lille 1, 59655, Villeneuve d’Ascq, France

Abstract: A model of an active layer of shallow water with horizontally nonuniform density has been developed in the nonhydrostatic approximation. Rayleigh–Taylor instability regimes, as well as the mechanism of the formation of self-similar jets (fingers), have been studied within this model. Their linear stability has been analyzed. It has been shown that nonhydrostaticity decisively affects instability at the final stage. For this reason, collapse predicted for hydrostatic models at this stage slows down and is transformed to the algebraic instability regime.

Received: 24.11.2014
Revised: 24.02.2015

DOI: 10.7868/S0370274X15070048

 English version: Journal of Experimental and Theoretical Physics Letters, 2015, 101:7, 438–443

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