Nonlinear amplification in hydrodynamic turbulence
Document Type
Article
Publication Date
1-10-2022
Abstract
Using direct numerical simulations performed on periodic cubes of various sizes, the largest being, we examine the nonlinear advection term in the Navier-Stokes equations generating fully developed turbulence. We find significant dissipation even in flow regions where nonlinearity is locally absent. With increasing Reynolds number, the Navier-Stokes dynamics amplifies the nonlinearity in a global sense. This nonlinear amplification with increasing Reynolds number renders the vortex stretching mechanism more intermittent, with the global suppression of nonlinearity, reported previously, restricted to low Reynolds numbers. In regions where vortex stretching is absent, the angle and the ratio between the convective vorticity and solenoidal advection in three-dimensional isotropic turbulence are statistically similar to those in the two-dimensional case, despite the fundamental differences between them.
Publication Title
Journal of Fluid Mechanics
Recommended Citation
Iyer, K.,
Sreenivasan, K.,
&
Yeung, P.
(2022).
Nonlinear amplification in hydrodynamic turbulence.
Journal of Fluid Mechanics,
930.
http://doi.org/10.1017/jfm.2021.914
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/15576