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Localized rotating convection with no-slip boundary conditions
Author(s) -
Cédric Beaume,
Hsien-Ching Kao,
Edgar Knobloch,
Alain Bergeon
Publication year - 2013
Publication title -
physics of fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.188
H-Index - 180
eISSN - 1089-7666
pISSN - 1070-6631
DOI - 10.1063/1.4843155
Subject(s) - physics , convection , mechanics , boundary layer , numerical continuation , boundary value problem , classical mechanics , thermal conduction , boundary (topology) , shear stress , slip (aerodynamics) , mathematical analysis , bifurcation , thermodynamics , nonlinear system , mathematics , quantum mechanics
International audienceLocalized patches of stationary convection embedded in a background conduction state are called convectons. Multiple states of this type have recently been found in two-dimensional Boussinesq convection in a horizontal fluid layer with stress-free boundary conditions at top and bottom, and rotating about the vertical. The convectons differ in their lengths and in the strength of the self-generated shear within which they are embedded, and exhibit slanted snaking. We use homotopic continuation of the boundary conditions to show that similar structures exist in the presence of no-slip boundary conditions at the top and bottom of the layer and show that such structures exhibit standard snaking. The homotopic continuation allows us to study the transformation from slanted snaking characteristic of systems with a conserved quantity, here the zonal momentum, to standard snaking characteristic of systems with no conserved quantity

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