# 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…

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