TY - JOUR

T1 - Compressible structures in incompressible hydrodynamics and their role in turbulence onset

AU - Agafontsev, D. S.

AU - Kuznetsov, E. A.

AU - Mailybaev, A. A.

PY - 2019/2/12

Y1 - 2019/2/12

N2 - The formation of the coherent vortical structures in the form of thin pancakes is studied for three-dimensional flows at the high Reynolds regime when, in the leading order, the development of such structures can be described within the 3D Euler equations for ideal incompressible fluids. Numerically and analytically on the base of the vortex line representation we show that compression of such structures and respectively increase of their amplitudes are possible due to the compressibility of the continuously distributed vortex lines. It is demonstrated that this growth can be considered as analog of breaking for the divergence-free vorticity field. At high amplitudes this process has a self-similar behavior connected the maximal vorticity and the pancake width by the Kolmogorov type relation ω max ∝ l -2/3 . The role of such structures in the Kolmogorov spectrum formation is also discussed.

AB - The formation of the coherent vortical structures in the form of thin pancakes is studied for three-dimensional flows at the high Reynolds regime when, in the leading order, the development of such structures can be described within the 3D Euler equations for ideal incompressible fluids. Numerically and analytically on the base of the vortex line representation we show that compression of such structures and respectively increase of their amplitudes are possible due to the compressibility of the continuously distributed vortex lines. It is demonstrated that this growth can be considered as analog of breaking for the divergence-free vorticity field. At high amplitudes this process has a self-similar behavior connected the maximal vorticity and the pancake width by the Kolmogorov type relation ω max ∝ l -2/3 . The role of such structures in the Kolmogorov spectrum formation is also discussed.

KW - HAMILTONIAN-DYNAMICS

KW - EULER EQUATIONS

KW - VORTEX

KW - LINES

KW - FLOWS

KW - IDEAL

UR - http://www.scopus.com/inward/record.url?scp=85062529676&partnerID=8YFLogxK

U2 - 10.1088/1755-1315/231/1/012002

DO - 10.1088/1755-1315/231/1/012002

M3 - Conference article

AN - SCOPUS:85062529676

VL - 231

JO - IOP Conference Series: Earth and Environmental Science

JF - IOP Conference Series: Earth and Environmental Science

SN - 1755-1307

IS - 1

M1 - 012002

T2 - International Conference on Turbulence, Atmosphere and Climate Dynamics 2018

Y2 - 16 May 2018 through 18 May 2018

ER -