Dynamic Phase Alignment in Navier-Stokes Turbulence
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physics.flu-dyn
physics.plasm-ph
keywords
alignmentphasedirectnavier-stokesproptoscalingturbulencealpha
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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 $\propto k^{-5/3}$. 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 $\cos\alpha_k\propto k^{-1}$.
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