Intermittency and Anomalous scaling in turbulence - Victor S. L'vov ...
Intermittency and Anomalous scaling in turbulence - Victor S. L'vov ...
Intermittency and Anomalous scaling in turbulence - Victor S. L'vov ...
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• Toward analytical theory of multi<strong>scal<strong>in</strong>g</strong>:<br />
Kraichnan-59 DIA: Direct Interaction Approximation ζ2 = 2 3 + 1 6<br />
Kraichnan-62 “Lagrangian-History” DIA: ζ2 = 2 3 < ζ2,exp 0.701<br />
0.83<br />
Bel<strong>in</strong>icher-L’vov-87 sweep<strong>in</strong>g-free approach: K41 is an “order-by-order”<br />
perturbation solution <strong>and</strong> <strong>in</strong>termittency is not perturbation phenomenon.<br />
Lebedev-L’vov-94 Telescopic Multi-Step Eddy-Interaction: non-perturbation<br />
mechanism of multi<strong>scal<strong>in</strong>g</strong> ⇒ <strong>in</strong>f<strong>in</strong>ite re-summation of ladder diagrams.<br />
Yakhot-Orszag-86-90 Straightforward Renormalization Group (RG)<br />
approach (for car design, etc.) reproduces K41 <strong>scal<strong>in</strong>g</strong><br />
Anjemyan-Antonov-Vasil’ev-89-now: modern RG ⇒ pr<strong>in</strong>cipal possibility<br />
of anomalous <strong>scal<strong>in</strong>g</strong><br />
10
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