TY - JOUR
T1 - Large-scale sweeping of small-scale eddies in turbulence
T2 - A filtering approach
AU - Drivas, Theodore D.
AU - Johnson, Perry L.
AU - Lalescu, Cristian C.
AU - Wilczek, Michael
N1 - Funding Information:
Computations were performed on the clusters of the Max Planck Computing and Data Facility. C.C.L. and M.W. are supported by the Max Planck Society. M.W. gratefully acknowledges support by the Priority Program SPP 1881 Turbulent Superstructures of the Deutsche Forschungsgemeinschaft. P.L.J. was supported by a graduate research fellowship from the National Science Foundation (No. DGE-1232825).
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/10
Y1 - 2017/10
N2 - We present an analysis of the Navier-Stokes equations based on a spatial filtering technique to elucidate the multiscale nature of fully developed turbulence. In particular, the advection of a band-pass-filtered small-scale contribution by larger scales is considered, and rigorous upper bounds are established for the various dynamically active scales. The analytical predictions are confirmed with direct numerical simulation data. The results are discussed with respect to the establishment of effective large-scale equations valid for turbulent flows.
AB - We present an analysis of the Navier-Stokes equations based on a spatial filtering technique to elucidate the multiscale nature of fully developed turbulence. In particular, the advection of a band-pass-filtered small-scale contribution by larger scales is considered, and rigorous upper bounds are established for the various dynamically active scales. The analytical predictions are confirmed with direct numerical simulation data. The results are discussed with respect to the establishment of effective large-scale equations valid for turbulent flows.
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U2 - 10.1103/PhysRevFluids.2.104603
DO - 10.1103/PhysRevFluids.2.104603
M3 - Article
AN - SCOPUS:85036574793
SN - 2469-990X
VL - 2
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 10
M1 - 104603
ER -