Landau Days 2016
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Landau Days 2016
June, 20-22 Chernogolovka, Russia |
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Folding of vortex lines in hydrodynamic turbulence: new results
Date/Time: 14:30 20-Jun-2016
Abstract:
Generation of pancake-like high-vorticity
structures in developing hydrodynamic turbulence is described with a new concept of folding for the vorticity lines distribution. Using asymptotic analysis, we establish the universal power law, $\omega_{\max}\propto \ell^{-2/3}$, between the maximum vorticity and pancake thickness, which determine, respectively, the dynamical and geometrical scales of the corresponding coherent structure. Numerical simulation, based on a novel numerical scheme that accesses the Eulerian--Lagrangian mapping for vortex lines evolution, verifies our theoretical conclusions. Authors
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