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

2019/12/24 by In‐Jee Jeong, Jeong, In-Jee, Tsuyoshi Yoneda +1 · 1 citation
Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1912.11479

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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• Wave dynamics governing vortex breakdown in smooth Euler flows

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