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Regeneration of Small Eddies by Data Assimilation in Turbulence
Author(s) -
Kyo Yoshida,
Junzo Yamaguchi,
Yukio Kaneda
Publication year - 2005
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.94.014501
Subject(s) - taylor microscale , eddy , turbulence , physics , dissipation , microscale chemistry , reynolds number , wavenumber , k omega turbulence model , scale (ratio) , turbulence modeling , mechanics , turbulence kinetic energy , thermodynamics , optics , mathematics , mathematics education , quantum mechanics
The effect of data assimilation of large-scale eddies on small-scale eddies in turbulence is studied by direct numerical simulations (DNSs) of Navier-Stokes turbulence with Taylor microscale Reynolds numbers up to 179. The DNSs show that even if the data of small-scale eddies are lost at some initial instant, they can be regenerated from the data of large-scale eddies under the condition that Fourier modes with wave number less than a critical wave number k(*) are continuously assimilated, where k(*) approximately 0.2eta(-1) with eta identical with(nu(3)/epsilon)(1/4), epsilon the mean energy dissipation rate, and nu the viscosity

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