Effect of spatial dimension on a model of fluid turbulence

@article{Clark2021EffectOS,
  title={Effect of spatial dimension on a model of fluid turbulence},
  author={Daniel Clark and Richard D.J.G. Ho and Arjun Berera},
  journal={Journal of Fluid Mechanics},
  year={2021},
  volume={912}
}
Abstract A numerical study of the $d$-dimensional eddy damped quasi-normal Markovian equations is performed to investigate the dependence on spatial dimension of homogeneous isotropic fluid turbulence. Relationships between structure functions and energy and transfer spectra are derived for the $d$-dimensional case. Additionally, an equation for the $d$-dimensional enstrophy analogue is derived and related to the velocity derivative skewness. Comparisons are made to recent four-dimensional… 
Critical transition to a non-chaotic regime in isotropic turbulence
We study the properties of homogeneous and isotropic turbulence in higher spatial dimensions through the lens of chaos and predictability using numerical simulations. We employ both direct numerical

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