期刊
PHYSICAL REVIEW LETTERS
卷 127, 期 27, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.127.274501
关键词
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资金
- DOE [DE-SC0018266, DE-FG02-91ER54109]
- NSF CAREER Grant [PHY-1654168]
- Professor Amar G. Bose Research Fellows Program at MIT
- Manson Benedict Fellowship of the MIT Nuclear Science and Engineering Department
- NSF [PHY-1707272, PHY-2010098]
- NASA [80NSSC18K0646]
- U.S. Department of Energy Office of Science User Facility [DE-AC02-05CH11231]
In Navier-Stokes turbulence, energy and helicity are subject to a joint direct cascade with scaling proportional to k(-5/3), due to a strong scale-dependent phase alignment between velocity and vorticity fluctuations, where the phase alignment angle scales as cos alpha(k) proportional to k(-1).
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 proportional to 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) proportional to k(-1).
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