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Isotropization of two-dimensional hydrodynamic turbulence in the direct cascade. / Kuznetsov, E. A.; Sereshchenko, E. V.
In: JETP Letters, Vol. 105, No. 2, 01.01.2017, p. 83-88.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Isotropization of two-dimensional hydrodynamic turbulence in the direct cascade
AU - Kuznetsov, E. A.
AU - Sereshchenko, E. V.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We present results of numerical simulation of the direct cascade in two-dimensional hydrodynamic turbulence (with spatial resolution up to ). If at the earlier stage (at the time of order of the inverse pumping growth rate τ-Γmax −1), the turbulence develops according to the same scenario as in the case of a freely decaying turbulence [1, 2]: quasi-singular distribution of di-vorticity are formed, which in k-space correspond to jets, leading to a strong turbulence anisotropy, then for times of the order of 10τ turbulence becomes almost isotropic. In particular, at these times any significant anisotropy in the angular fluctuations for the energy spectrum (for a fixed k) is not visible, while the probability distribution function of vorticity for large arguments has the exponential tail with the exponent linearly dependent on vorticity, in the agreement with the theoretical prediction [3].
AB - We present results of numerical simulation of the direct cascade in two-dimensional hydrodynamic turbulence (with spatial resolution up to ). If at the earlier stage (at the time of order of the inverse pumping growth rate τ-Γmax −1), the turbulence develops according to the same scenario as in the case of a freely decaying turbulence [1, 2]: quasi-singular distribution of di-vorticity are formed, which in k-space correspond to jets, leading to a strong turbulence anisotropy, then for times of the order of 10τ turbulence becomes almost isotropic. In particular, at these times any significant anisotropy in the angular fluctuations for the energy spectrum (for a fixed k) is not visible, while the probability distribution function of vorticity for large arguments has the exponential tail with the exponent linearly dependent on vorticity, in the agreement with the theoretical prediction [3].
KW - ENERGY-SPECTRUM
KW - DYNAMICS
UR - http://www.scopus.com/inward/record.url?scp=85018501592&partnerID=8YFLogxK
U2 - 10.1134/S0021364017020102
DO - 10.1134/S0021364017020102
M3 - Article
AN - SCOPUS:85018501592
VL - 105
SP - 83
EP - 88
JO - JETP Letters
JF - JETP Letters
SN - 0021-3640
IS - 2
ER -
ID: 9050470