English

Dynamic Phase Alignment in Navier-Stokes Turbulence

Fluid Dynamics 2022-01-12 v2 Plasma Physics

Abstract

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 k5/3\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 cosαkk1\cos\alpha_k\propto k^{-1}.

Keywords

Cite

@article{arxiv.2104.13518,
  title  = {Dynamic Phase Alignment in Navier-Stokes Turbulence},
  author = {Lucio M. Milanese and Nuno F. Loureiro and Stanislav Boldyrev},
  journal= {arXiv preprint arXiv:2104.13518},
  year   = {2022}
}
R2 v1 2026-06-24T01:35:04.158Z