Energy Spectrum of 3D Velocity Field Generated by Ensemble of Semi-fractal Vortex Loops

O. Yurkina; S. K. Nemirovskii

doi:10.1134/S1810232822030110

Energy Spectrum of 3D Velocity Field Generated by Ensemble of Semi-fractal Vortex Loops

O. Yurkina, S. K. Nemirovskii

Section of Physics of Nonequilibrium Processes

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

Abstract

The energy spectra E(k) of a three-dimensional velocity field induced by a set of vortex loops of different sizes and semi-fractal structure is calculated. The method is closely related to the Gaussian model of vortex tangle. To calculate the energy spectra E(k) we use the characteristic (generating) functional. We demonstrate that this spectrum as function of k has three characteristic regions, associated with the semi-fractal nature of the loops.

Original language	English
Pages (from-to)	506-511
Number of pages	6
Journal	Journal of Engineering Thermophysics
Volume	31
Issue number	3
DOIs	https://doi.org/10.1134/S1810232822030110
Publication status	Published - Sep 2022

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1.03 PHYSICAL SCIENCES AND ASTRONOMY
1.01 MATHEMATICS
1.05 EARTH AND RELATED ENVIRONMENTAL SCIENCES

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title = "Energy Spectrum of 3D Velocity Field Generated by Ensemble of Semi-fractal Vortex Loops",

abstract = "The energy spectra E(k) of a three-dimensional velocity field induced by a set of vortex loops of different sizes and semi-fractal structure is calculated. The method is closely related to the Gaussian model of vortex tangle. To calculate the energy spectra E(k) we use the characteristic (generating) functional. We demonstrate that this spectrum as function of k has three characteristic regions, associated with the semi-fractal nature of the loops.",

author = "O. Yurkina and Nemirovskii, {S. K.}",

note = "Funding Information: The theoretical consideration was conducted under the state contract with IT SB RAS (no. 17-117022850027-5); the numerical simulations were supported by the Russian Science Foundation (grant no. 19-19-00321). Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

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doi = "10.1134/S1810232822030110",

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AU - Nemirovskii, S. K.

N1 - Funding Information: The theoretical consideration was conducted under the state contract with IT SB RAS (no. 17-117022850027-5); the numerical simulations were supported by the Russian Science Foundation (grant no. 19-19-00321). Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/9

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N2 - The energy spectra E(k) of a three-dimensional velocity field induced by a set of vortex loops of different sizes and semi-fractal structure is calculated. The method is closely related to the Gaussian model of vortex tangle. To calculate the energy spectra E(k) we use the characteristic (generating) functional. We demonstrate that this spectrum as function of k has three characteristic regions, associated with the semi-fractal nature of the loops.

AB - The energy spectra E(k) of a three-dimensional velocity field induced by a set of vortex loops of different sizes and semi-fractal structure is calculated. The method is closely related to the Gaussian model of vortex tangle. To calculate the energy spectra E(k) we use the characteristic (generating) functional. We demonstrate that this spectrum as function of k has three characteristic regions, associated with the semi-fractal nature of the loops.

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ER -

Energy Spectrum of 3D Velocity Field Generated by Ensemble of Semi-fractal Vortex Loops

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