TY - JOUR

T1 - Folding in Two-dimensional Hydrodynamic Turbulence

AU - Kuznetsov, E. A.

AU - Sereshchenko, E. V.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

KW - HAMILTONIAN-DYNAMICS

KW - VORTEX

KW - LINES

UR - http://www.scopus.com/inward/record.url?scp=85061430170&partnerID=8YFLogxK

U2 - 10.1134/S0021364019040039

DO - 10.1134/S0021364019040039

M3 - Article

AN - SCOPUS:85061430170

VL - 109

SP - 239

EP - 242

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 4

ER -