Locality of turbulent cascades

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Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-Graining Approach (2017, background): “992) for details. Note that what we dub large-scale KE is the KE in the large-scale ow, based on u ‘, rather than the ltered KE itself, ˆ 0juj2=2, which does not cascade across scales Germano (1992); Eyink (2005). Here, Jtransport ‘ (x) = ˆ 0 ju ‘j 2 2 u ‘ + P ‘u ‘ ˆ 0r ju j2 2 + ˆ 0 u ‘ ˝ ‘(u;u) 1T”
Statistical mechanics of two-dimensional and geophysical flows (2011, background): “Interesting recent results in this domain include study of statistics of zero vorticity lines in relation with the stochastic Loewner equation (SLE) [8] and precise conditions for locality of turbulent cascades with applications also to two-dimensional turbulence [73,74,3].”
Scale decomposition in compressible turbulence (2010, methodology): “Following [10] and [4], we use a simple filtering technique common in the LES literature to resolve turbulent fields simultaneously in scale and in space.”
Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining (2009, methodology): “We give below a brief summary of the demonstration from Eyink (2005)1.”