title: Algebraic instability in shallow water flows with horizontally nonuniform density.
abstract: The regimes and mechanisms of the Rayleigh-Taylor instability have been studied in the scope of the nonhydrostatic shallow water model with horizontally nonuniform density. As analysis shows, the nonhydrostaticity has a crucial influence on the instability. It is for this reason that at the final stage a collapse tendency predicted on the base of the hydrostatic scenario slows down and turns into the regime of algebraic instability. The numerical testing has shown that in spite of its simplicity, the model is quite able to describe realistically a number of effects. For example, the model captures the shallowing effect, which manifests itself as profile concavities on either side of the jet coming out of the boundary layer.
authors.affiliation: A. M. Obukhov Institute of Atmospheric Physics RAS, 109017 Moscow, Russia.
authors.forename: V P
authors.initials: VP
authors.lastname: Goncharov
authors.affiliation: UFR des Mathématiques Pures et Appliquées - LML CNRS UMR 8107, Université de Lille 1, 59655 Villeneuve d'Ascq, France.
authors.forename: V I
authors.initials: VI
authors.lastname: Pavlov