A Model for Staircase Formation in Fingering Convection (Articolo in rivista)

Type
Label
  • A Model for Staircase Formation in Fingering Convection (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s10440-014-9920-1 (literal)
Alternative label
  • Paparella, Francesco; von Hardenberg, Jost (2014)
    A Model for Staircase Formation in Fingering Convection
    in Acta applicandae mathematicae
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Paparella, Francesco; von Hardenberg, Jost (literal)
Pagina inizio
  • 457 (literal)
Pagina fine
  • 467 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 132 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 11 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • University of Salento, INFN Sez Lecce (Paparella); ISAC - CNR (von Hardenberg) (literal)
Titolo
  • A Model for Staircase Formation in Fingering Convection (literal)
Abstract
  • Fingering convection is a convective instability that occurs in fluids where two buoyancy-changing scalars with different diffusivities have a competing effect on density. The peculiarity of this form of convection is that, although the transport of each individual scalar occurs down-gradient, the net density transport is up-gradient. In a suitable range of non-dimensional parameters, solutions characterized by constant vertical gradients of the horizontally averaged fields may undergo a further instability, which results in the alternation of layers where density is roughly homogeneous with layers where there are steep vertical density gradients, a pattern known as \"doubly-diffusive staircases\". This instability has been interpreted in terms of an effective negative diffusivity, but simplistic parameterizations based on this idea, obviously, lead to ill-posed equations. Here we propose a mathematical model that describes the dynamics of the horizontally-averaged scalar fields and the staircase-forming instability. The model allows for unstable constant-gradient solutions, but it is free from the ultraviolet catastrophe that characterizes diffusive processes with a negative diffusivity. (literal)
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