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Article overview
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Wave turbulence in the two-layer model for oceans and atmospheres | | Katie L Harper
; Sergey V Nazarenko
; Sergey B Medvedev
; Colm Connaughton
; | | Date: |
28 Oct 2013 | | Abstract: | In this paper we look at the two-layer model for oceans and atmospheres from
a wave turbulence approach. We derive a symmetric form of the two-layer kinetic
equation using canonical variables which allows us to study the turbulent
cascade of energy between the barotropic and baroclinic modes. It turns out
that energy is transferred via local triad interactions from large-scale
baroclinic modes to the baroclinic and barotropic modes at the deformation
radius. From there it is then transferred into large-scale barotropic modes via
a nonlocal inverse transfer. Using scale separation we obtain a system of
coupled equations for the small-scale baroclinic component and large-scale
barotropic component. The total energy of the small-scale component is not
conserved. Since the total barotropic plus baroclinic energy is conserved the
baroclinic energy loss at small scales will be compensated by the growth of the
barotropic energy at large scales. We find that this transfer is mostly
anisotropic and mostly to the zonal component. | | Source: | arXiv, 1310.7349 | | Services: | Forum | Review | PDF | Favorites | |
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