Elliptic instability in two-dimensional flattened Taylor-Green vortices

D. Sipp; L. Jacquin

doi:10.1063/1.869607

Elliptic instability in two-dimensional flattened Taylor-Green vortices

D. Sipp, L. Jacquin

ONERA Office National d'Etudes et Recherches Aerospatiales

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Abstract

The aim of the present paper is to study three-dimensional elliptic instability in two-dimensional flattened Taylor-Green vortices, which constitutes a model problem for the topics of wake vortex dynamics. Shortwave asymptotics and classical linear stability theory are developed. Both approaches show that the flow is unstable. In particular, the structure of the most amplified growing mode is the same as that obtained in unbounded elliptical flows. The limits of the linear regime and the effects of the nonlinear interactions are characterized by means of a spectral Direct Numerical Simulation (DNS).

Original language	English
Pages (from-to)	839-849
Number of pages	11
Journal	Physics of Fluids
Volume	10
Issue number	4
DOIs	https://doi.org/10.1063/1.869607
Publication status	Published - 1 Jan 1998
Externally published	Yes

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title = "Elliptic instability in two-dimensional flattened Taylor-Green vortices",

abstract = "The aim of the present paper is to study three-dimensional elliptic instability in two-dimensional flattened Taylor-Green vortices, which constitutes a model problem for the topics of wake vortex dynamics. Shortwave asymptotics and classical linear stability theory are developed. Both approaches show that the flow is unstable. In particular, the structure of the most amplified growing mode is the same as that obtained in unbounded elliptical flows. The limits of the linear regime and the effects of the nonlinear interactions are characterized by means of a spectral Direct Numerical Simulation (DNS).",

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AU - Jacquin, L.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - The aim of the present paper is to study three-dimensional elliptic instability in two-dimensional flattened Taylor-Green vortices, which constitutes a model problem for the topics of wake vortex dynamics. Shortwave asymptotics and classical linear stability theory are developed. Both approaches show that the flow is unstable. In particular, the structure of the most amplified growing mode is the same as that obtained in unbounded elliptical flows. The limits of the linear regime and the effects of the nonlinear interactions are characterized by means of a spectral Direct Numerical Simulation (DNS).

AB - The aim of the present paper is to study three-dimensional elliptic instability in two-dimensional flattened Taylor-Green vortices, which constitutes a model problem for the topics of wake vortex dynamics. Shortwave asymptotics and classical linear stability theory are developed. Both approaches show that the flow is unstable. In particular, the structure of the most amplified growing mode is the same as that obtained in unbounded elliptical flows. The limits of the linear regime and the effects of the nonlinear interactions are characterized by means of a spectral Direct Numerical Simulation (DNS).

U2 - 10.1063/1.869607

DO - 10.1063/1.869607

M3 - Article

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SN - 1070-6631

VL - 10

SP - 839

EP - 849

JO - Physics of Fluids

JF - Physics of Fluids

IS - 4

ER -

Elliptic instability in two-dimensional flattened Taylor-Green vortices

Abstract

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