Algebraic instability in shallow water flows with horizontally nonuniform density

作者：Goncharov V P^*; Pavlov V I

来源：Physical Review E, 2015, 91(4): 043004.

DOI：10.1103/PhysRevE.91.043004

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.

• 出版日期2015-4-6