• Corpus ID: 119715377

A remark on the zeroth law and instantaneous vortex stretching on the incompressible 3D Euler equations

  title={A remark on the zeroth law and instantaneous vortex stretching on the incompressible 3D Euler equations},
  author={In-Jee Jeong and Tsuyoshi Yoneda},
  journal={arXiv: Analysis of PDEs},
By DNS of Navier-Stokes turbulence, Goto-Saito-Kawahara (2017) showed that turbulence consists of a self-similar hierarchy of anti-parallel pairs of vortex tubes, in particular, stretching in larger-scale strain fields creates smaller-scale vortices. Inspired by their numerical result, we examine the Goto-Saito-Kawahara type of vortex-tubes behavior using the 3D incompressible Euler equations, and show that such behavior induces energy cascade in the absence of nonlinear scale-interaction. From… 
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