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arXiv · 1912.11479

Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations

In-Jee Jeong·Tsuyoshi Yoneda
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Abstract

By direct numerical simulation to the two-dimensional Navier-Stokes equations with small-scale forcing and large-scale damping, Xiao-Wan-Chen-Eyink (2009) found an evidence that inverse energy cascade may proceed with the vortex thinning mechanism. On the other hand, Alexakis-Doering (2006) calculated upper bound of the bulk averaged enstrophy dissipation rate of the steady-state two dimensional turbulence. {In this paper, we show that vortex thinning induces enhanced dissipation with strictly slower vanishing order of the enstrophy dissipation than $Re^{-1}$.}

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In-Jee Jeong, Tsuyoshi Yoneda. 2019-12-24. Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations. https://arxiv.org/abs/1912.11479

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