Dynamic Phase Alignment in Navier-Stokes Turbulence

Milanese, Lucio M.; Loureiro, Nuno F.; Boldyrev, Stanislav

doi:10.1103/physrevlett.127.274501

Dynamic Phase Alignment in Navier-Stokes Turbulence

Journal Article · Wed Dec 29 23:00:00 EST 2021 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.127.274501· OSTI ID:1980243

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Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); OSTI
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. of Wisconsin, Madison, WI (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Wisconsin, Madison, WI (United States); Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)

Grant/Contract Number:: FG02-91ER54109; SC0018266; AC02-05CH11231

OSTI ID:: 1980243

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 27 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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