Effective Drift Velocity from Turbulent Transport by Vorticity in Compressible Turbulence

ORAL

Abstract

We analyze turbulence transport generated by strong shocks. Using a systematic non-perturbative expansion due to Eyink [1], we show that unlike strain, which acts as an anisotropic diffusion/anti-diffusion tensor, vorticity's contribution is solely a conservative advection by an eddy-induced non-divergent velocity, v*, that is proportional to the curl of vorticity. Therefore, material (Lagrangian) advection of coarse-grained (in a simulation) or under-resolved (in a lab measurement) quantities is accomplished not by the coarse-grained flow velocity, û, but by the effective velocity, û+v*. The physics of this effective transport is missing from current turbulence models and may aid in the interpretation of data from experiments.

[1] Eyink, G. L., J. Fluid Mech. 549 (2006).

*This work is funded by US DOE grant DE-SC0020229. Partial support from US NSF grants PHY-2020249, OCE-2123496, US NASA grant 80NSSC18K0772, and US NNSA grant DE-NA0003856 is acknowledged.

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Presenters

  • Shikhar Rai

    • Univ. of Rochester

Authors

  • Shikhar Rai

    • Univ. of Rochester

  • Hao Yin

    • Univ. of Rochester

  • Hussein Aluie

    • University of Rochester
    • Univ. of Rochester

  • Aarne Lees

    • University of Rochester

  • Dongxiao Zhao

    • University of Rochester

  • Stephen Griffies

    • Princeton

  • Jessica Shang

    • University of Rochester