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Under suitable forcing a fluid exhibits turbulence, with characteristics strongly affected by the fluid's confining geometry.
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In two-dimensions, enstrophy Ω = ∫ d x 𝑑 y ω 2 \Omega=\int dx\,dy\,\omega^{2} is a measure of the vorticity ω = [ ∇ × v ] z \omega=[\nabla\times v]_{z} about the z z axis, where v v is the fluid velocity in the plane normal to z z
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