000014730 001__ 14730
000014730 005__ 20161115100200.0
000014730 04107 $$aeng
000014730 046__ $$k2016-08-21
000014730 100__ $$aToschi, Federico
000014730 24500 $$aTurbulence on a fractally decimated Fourier set

000014730 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014730 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014730 506__ $$arestricted
000014730 520__ $$2eng$$aOne of the most distinct features of the physics of fluid dynamics turbulence is the intermittency of the flux of energy. Here we present a recently proposed approach (Lanotte et al., Phys. Rev. Lett. 115 2015) to investigate the nature of the energy transfer in incompressible, homogenous and isotropic turbulence. The Navier-Stokes equations are projected on a fractally decimated skeleton in Fourier space. The robustness of the energy transfer and of the vortex stretching are tested by changing the fractal dimension D in Fourier space, from D = 3 to D = 2.5 (where about 3% of the modes are retained). This approach allows to study the statistical properties of the energy cascade preserving the symmetries of the Navier-Stokes equations. We find that a direct energy flux is maintained while clear deviations from the Kolmogorov scaling are observed in the energy spectra. A simple phenomenological model to rationalize to explain our findings is suggested.

000014730 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014730 653__ $$a

000014730 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014730 720__ $$aToschi, Federico
000014730 8560_ $$ffischerc@itam.cas.cz
000014730 8564_ $$s62216$$uhttps://invenio.itam.cas.cz/record/14730/files/TS.FM14-2.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1413, code TS.FM14-2.05
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000014730 962__ $$r13812
000014730 980__ $$aPAPER