Folding in Two-dimensional Hydrodynamic Turbulence

E. A. Kuznetsov, E. V. Sereshchenko

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)239-242
Число страниц4
ЖурналJETP Letters
Том109
Номер выпуска4
DOI
СостояниеОпубликовано - 1 фев 2019

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    Kuznetsov, E. A., & Sereshchenko, E. V. (2019). Folding in Two-dimensional Hydrodynamic Turbulence. JETP Letters, 109(4), 239-242. https://doi.org/10.1134/S0021364019040039