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Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations. / Agafontsev, D. S.; Kuznetsov, E. A.; Mailybaev, A. A.

In: Journal of Fluid Mechanics, Vol. 813, 1, 25.02.2017.

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

Harvard

Agafontsev, DS, Kuznetsov, EA & Mailybaev, AA 2017, 'Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations', Journal of Fluid Mechanics, vol. 813, 1. https://doi.org/10.1017/jfm.2017.1

APA

Agafontsev, D. S., Kuznetsov, E. A., & Mailybaev, A. A. (2017). Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations. Journal of Fluid Mechanics, 813, [1]. https://doi.org/10.1017/jfm.2017.1

Vancouver

Agafontsev DS, Kuznetsov EA, Mailybaev AA. Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations. Journal of Fluid Mechanics. 2017 Feb 25;813:1. doi: 10.1017/jfm.2017.1

Author

Agafontsev, D. S. ; Kuznetsov, E. A. ; Mailybaev, A. A. / Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations. In: Journal of Fluid Mechanics. 2017 ; Vol. 813.

BibTeX

@article{1c55b1da16884d90b5ba2080da24b4be,
title = "Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations",
abstract = "Incompressible three-dimensional Euler equations develop high vorticity in very thin pancake-like regions from generic large-scale initial conditions. In this work, we propose an exact solution of the Euler equations for the asymptotic pancake evolution. This solution combines a shear flow aligned with an asymmetric straining flow, and is characterized by a single asymmetry parameter and an arbitrary transversal vorticity profile. The analysis is based on detailed comparison with numerical simulations performed using a pseudospectral method in anisotropic grids of up to 972×2048×4096.",
keywords = "Vortex dynamics, Vortex flows, BURGERS VORTICES, vortex flows, NAVIER-STOKES EQUATIONS, vortex dynamics, DYNAMICS, BLOW-UP, FLOWS",
author = "Agafontsev, {D. S.} and Kuznetsov, {E. A.} and Mailybaev, {A. A.}",
year = "2017",
month = feb,
day = "25",
doi = "10.1017/jfm.2017.1",
language = "English",
volume = "813",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations

AU - Agafontsev, D. S.

AU - Kuznetsov, E. A.

AU - Mailybaev, A. A.

PY - 2017/2/25

Y1 - 2017/2/25

N2 - Incompressible three-dimensional Euler equations develop high vorticity in very thin pancake-like regions from generic large-scale initial conditions. In this work, we propose an exact solution of the Euler equations for the asymptotic pancake evolution. This solution combines a shear flow aligned with an asymmetric straining flow, and is characterized by a single asymmetry parameter and an arbitrary transversal vorticity profile. The analysis is based on detailed comparison with numerical simulations performed using a pseudospectral method in anisotropic grids of up to 972×2048×4096.

AB - Incompressible three-dimensional Euler equations develop high vorticity in very thin pancake-like regions from generic large-scale initial conditions. In this work, we propose an exact solution of the Euler equations for the asymptotic pancake evolution. This solution combines a shear flow aligned with an asymmetric straining flow, and is characterized by a single asymmetry parameter and an arbitrary transversal vorticity profile. The analysis is based on detailed comparison with numerical simulations performed using a pseudospectral method in anisotropic grids of up to 972×2048×4096.

KW - Vortex dynamics

KW - Vortex flows

KW - BURGERS VORTICES

KW - vortex flows

KW - NAVIER-STOKES EQUATIONS

KW - vortex dynamics

KW - DYNAMICS

KW - BLOW-UP

KW - FLOWS

UR - http://www.scopus.com/inward/record.url?scp=85028274811&partnerID=8YFLogxK

U2 - 10.1017/jfm.2017.1

DO - 10.1017/jfm.2017.1

M3 - Article

AN - SCOPUS:85028274811

VL - 813

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

M1 - 1

ER -

ID: 9963001