Dynamic Phase Alignment in Navier-Stokes Turbulence.

Phys Rev Lett

Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA and Space Science Institute, Boulder, Colorado 80301, USA.

Published: December 2021

In Navier-Stokes turbulence, energy and helicity injected at large scales are subject to a joint direct cascade, with both quantities exhibiting a spectral scaling ∝k^{-5/3}. We demonstrate via direct numerical simulations that the two cascades are compatible due to the existence of a strong scale-dependent phase alignment between velocity and vorticity fluctuations, with the phase alignment angle scaling as cosα_{k}∝k^{-1}.

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http://dx.doi.org/10.1103/PhysRevLett.127.274501DOI Listing

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