Movies using my barotropic turbulence code
These two models have the same viscosity in the basin interior, but the right-hand one has increased viscosity in a thin layer near the boundary. This layer is able to control the circulation strength, sith the help of eddy fluxes delivering vorticity from the interior. (a plot of potential vorticity)! Movie.
Good parameterization! These two calculations have different viscosities, but very similar time-mean flows. I call these solutions homoparic, for same mean. Movie.
These calculations have the same viscosity, but the larger basins have an opposing wind forcing in the northern region. Their circulation strength is reduced by the addition of this region. Movie.
The double-gyre on the left is started from rest, while the one on the right is started with an initial condition which breaks the initial symmetry between the southern gyre and the northern gyre. Note how the symmetric, resting initial condition run at first resembles the single-gyre in the middle, and then after the symmetry is broken (by numerical errors) it begins to resemble the solution with symmetry-breaking initial conditions. Thus, the symmetric state is unstable, and the sinuous modes which break the symmetry are very important in the control of the circulation strength. Movie.
The situtation is quite different with slip boundary conditions. Here, the middle two-gyre solution has a subtropical boundary current which dominates and overshoots ito the subpolar region. Only the right-hand solution, a slip, double-gyre solution, has an important inter-gyre eddy flux of vorticity. Movie.
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