Folding in Two-Dimensional Hydrodynamic Turbulence
Abstract
The vorticity rotor field B = curlω (divorticity) for freely decaying two-dimensional hydrodynamic turbulence due to a tendency to breaking is concentrated near the lines corresponding to the position of the vorticity quasi-shocks. The maximum value of the divorticity B max at the stage of quasi-shocks formation increases exponentially in time, while the thickness ℓ( t) of the maximum area in the transverse direction to the vector B decreases in time also exponentially. It is numerically shown that B max( t) depends on the thickness according to the power law B max( t) ∼ ℓ -α( t), where α = 2/3. This behavior indicates in favor of folding for the divergence-free vector field of the divorticity.
- Publication:
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Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- February 2019
- DOI:
- 10.1134/S0021364019040039
- Bibcode:
- 2019JETPL.109..239K