Effective drift velocity from turbulent transport by vorticity

Aluie, Hussein; Rai, Shikhar; Yin, Hao; Lees, Aarne; Zhao, Dongxiao; Griffies, Stephen M.; Adcroft, Alistair; Shang, Jessica K.

doi:10.1103/physrevfluids.7.104601

Title: Effective drift velocity from turbulent transport by vorticity

Journal Article · Mon Oct 03 00:00:00 EDT 2022 · Physical Review Fluids (Online)

DOI:https://doi.org/10.1103/physrevfluids.7.104601· OSTI ID:1890485

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Univ. of Rochester, NY (United States)
NOAA/Geophysical Fluid Dynamics Lab., Princeton, NJ (United States); Princeton Univ. Program in Atmospheric and Oceanic Sciences, NJ (United States)

We highlight the differing roles of vorticity and strain in the transport of coarse-grained scalars at length-scales larger than l by smaller scale (subscale) turbulence. We use the first term in a multiscale gradient expansion due to Eyink [1], which exhibits excellent correlation with the exact subscale physics when the partitioning length l is any scale smaller than that of the spectral peak. We show that unlike subscale strain, which acts as an anisotropic diffusion/anti-diffusion tensor, subscale vorticity’s contribution is solely a conservative advection of coarse-grained quantities by an eddy-induced non-divergent velocity, v*, that is proportional to the curl of vorticity. Therefore, material (Lagrangian) advection of coarse-grained quantities is accomplished not by the coarse grained flow velocity, u , but by the effective velocity, u + v*, the physics of which may improve commonly used LES models.

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Research Organization:: Univ. of Rochester, NY (United States). Lab. for Laser Energetics

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)

Grant/Contract Number:: SC0020229; SC0019329; CBET-2143702; PHY-2020249; PHY-2206380; OCE-2123496; 80NSSC18K0772; NA0003856; SC0014318; NA0003914; AC02-05CH11231

OSTI ID:: 1890485

Alternate ID(s):: OSTI ID: 1903295; OSTI ID: 1957732

Journal Information:: Physical Review Fluids (Online), Vol. 7, Issue 10; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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