Spectral imbalance and the normalized dissipation rate of turbulence

dc.creatorBos, Wouter J. T.
dc.creatorShao, L.
dc.creatorBertoglio, Jean-Pierre
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:43Z
dc.date.available2026-07-07T08:49:43Z
dc.descriptionThe normalized turbulent dissipation rate $C_ε$ is studied in decaying and forced turbulence by direct numerical simulations, large-eddy simulations, and closure calculations. A large difference in the values of $C_ε$ is observed for the two types of turbulence. This difference is found at moderate Reynolds number, and it is shown that it persists at high Reynolds number, where the value of $C_ε$ becomes independent of the Reynolds number, but is still not unique. This difference can be explained by the influence of the nonlinear cascade time that introduces a spectral disequilibrium for statistically nonstationary turbulence. Phenomenological analysis yields simple analytical models that satisfactorily reproduce the numerical results. These simple spectral models also reproduce and explain the increase of $C_ε$ at low Reynolds number that is observed in the simulations.
dc.identifierhttps://arxiv.org/abs/0712.2799
dc.identifierhttp://arxiv.org/abs/0712.2799
dc.identifierPhysics of Fluids 19 (2007) 045101
dc.identifierdoi:10.1063/1.2714079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144403
dc.subjectClassical Physics
dc.titleSpectral imbalance and the normalized dissipation rate of turbulence
dc.typetext

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