How is zonal flow defined and computed?
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The transition to turbulence in pipe flow was recently observed to be in the same universality class as directed percolation. This was done by reinterpreting the turbulence and laminar flow in terms of predator-prey dynamics. See e.g. thispaper.
A third element was added to the predator-prey dynamics: the zonal flow. This is a particular fluid configuration that has the ability to re-laminarise the flow. It eats up the turbulence. The elements of the predator-prey model are related to fluid dynamics by
nutrientpreyspredators↔↔↔laminar flowturbulent flowzonal flownutrient↔laminar flowpreys↔turbulent flowpredators↔zonal flow
My question is the following: how is the zonal flow defined precisely? I get a feeling for what it is and what it does, but the fact that there is a plot of a definite flow configuration here suggests that the zonal flow can be defined in a precise way and even computed.
A third element was added to the predator-prey dynamics: the zonal flow. This is a particular fluid configuration that has the ability to re-laminarise the flow. It eats up the turbulence. The elements of the predator-prey model are related to fluid dynamics by
nutrientpreyspredators↔↔↔laminar flowturbulent flowzonal flownutrient↔laminar flowpreys↔turbulent flowpredators↔zonal flow
My question is the following: how is the zonal flow defined precisely? I get a feeling for what it is and what it does, but the fact that there is a plot of a definite flow configuration here suggests that the zonal flow can be defined in a precise way and even computed.
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Soliton equations and Inverse Scattering Transform ... 2.1.2 Bäcklund transformations for the Sine– Gordon .... integrals, or (as a physicist would put it) constant of ...
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