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Development of high vorticity in incompressible 3D Euler equations : Influence of initial conditions. / Agafontsev, D. S.; Kuznetsov, E. A.; Mailybaev, A. A.

In: JETP Letters, Vol. 104, No. 10, 01.11.2016, p. 685-689.

Research output: Contribution to journal › Article › peer-review

Harvard

Agafontsev, DS, Kuznetsov, EA & Mailybaev, AA 2016, 'Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions', JETP Letters, vol. 104, no. 10, pp. 685-689. https://doi.org/10.1134/S002136401622001X

APA

Agafontsev, D. S., Kuznetsov, E. A., & Mailybaev, A. A. (2016). Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions. JETP Letters, 104(10), 685-689. https://doi.org/10.1134/S002136401622001X

Vancouver

Agafontsev DS, Kuznetsov EA, Mailybaev AA. Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions. JETP Letters. 2016 Nov 1;104(10):685-689. doi: 10.1134/S002136401622001X

Author

Agafontsev, D. S. ; Kuznetsov, E. A. ; Mailybaev, A. A. / Development of high vorticity in incompressible 3D Euler equations : Influence of initial conditions. In: JETP Letters. 2016 ; Vol. 104, No. 10. pp. 685-689.

BibTeX

@article{1f21d40c9a2c4b62bff23e8e2391f421,
title = "Development of high vorticity in incompressible 3D Euler equations: Influence of initial conditions",
abstract = "The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ω max(t) ∝ l(t) -2/3between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval E k∝ k −5/3is observed for some initial flows. With the massive numerical simulations, we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development. ",
author = "Agafontsev, {D. S.} and Kuznetsov, {E. A.} and Mailybaev, {A. A.}",
year = "2016",
month = nov,
day = "1",
doi = "10.1134/S002136401622001X",
language = "English",
volume = "104",
pages = "685--689",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "10",

}

RIS

TY - JOUR

T1 - Development of high vorticity in incompressible 3D Euler equations

T2 - Influence of initial conditions

AU - Agafontsev, D. S.

AU - Kuznetsov, E. A.

AU - Mailybaev, A. A.

PY - 2016/11/1

Y1 - 2016/11/1

N2 - The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ω max(t) ∝ l(t) -2/3between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval E k∝ k −5/3is observed for some initial flows. With the massive numerical simulations, we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development.

AB - The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ω max(t) ∝ l(t) -2/3between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval E k∝ k −5/3is observed for some initial flows. With the massive numerical simulations, we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development.

UR - http://www.scopus.com/inward/record.url?scp=84995495268&partnerID=8YFLogxK

U2 - 10.1134/S002136401622001X

DO - 10.1134/S002136401622001X

M3 - Article

VL - 104

SP - 685

EP - 689

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 10

ER -

ID: 18730270