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The Imbalance Between Enstrophy Production and Destruction in Homogeneous Isotropic Unsteady Turbulence

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Progress in Turbulence VI

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 165))

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Abstract

We show in direct numerical simulations of homogeneous isotropic non-stationary turbulence that there is a systematic and significant imbalance between enstrophy production and its destruction which is concomitant with the previously observed imbalance between the non-linear energy cascade to fine scales and its dissipation (Valente, Onishi, da Silva, Phys Rev E 90(023003), 2014, [12]). However, contrary to the former, the imbalance between enstrophy production and destruction is affected by the ‘cascade time-lag’, i.e. the time it takes for the energy injected on the large-scales to reach the fine-scales.

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Correspondence to P. C. Valente .

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Valente, P.C., Onishi, R., da Silva, C.B. (2016). The Imbalance Between Enstrophy Production and Destruction in Homogeneous Isotropic Unsteady Turbulence. In: Peinke, J., Kampers, G., Oberlack, M., Wacławczyk, M., Talamelli, A. (eds) Progress in Turbulence VI. Springer Proceedings in Physics, vol 165. Springer, Cham. https://doi.org/10.1007/978-3-319-29130-7_7

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