Global stability of a jet in crossflow

Shervin Bagheri; Philipp Schlatter; Peter J. Schmid; Dan S. Henningson

doi:10.1017/S0022112009006053

Global stability of a jet in crossflow

Shervin Bagheri, Philipp Schlatter, Peter J. Schmid, Dan S. Henningson

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

202 Scopus citations

Abstract

A linear stability analysis shows that the jet in crossflow is characterized by self-sustained global oscillations for a jet-to-crossflow velocity ratio of 3. A fully three-dimensional unstable steady-state solution and its associated global eigenmodes are computed by direct numerical simulations and iterative eigenvalue routines. The steady flow, obtained by means of selective frequency damping, consists mainly of a (steady) counter-rotating vortex pair (CVP) in the far field and horseshoe-shaped vortices close to the wall. High-frequency unstable global eigenmodes associated with shear-layer instabilities on the CVP and low-frequency modes associated with shedding vortices in the wake of the jet are identified. Furthermore, different spanwise symmetries of the global modes are discussed. This work constitutes the first simulation-based global stability analysis of a fully three-dimensional base flow. © 2009 Cambridge University Press.

Original language	English (US)
Pages (from-to)	33-44
Number of pages	12
Journal	Journal of Fluid Mechanics
Volume	624
DOIs	https://doi.org/10.1017/S0022112009006053
State	Published - Jan 1 2009
Externally published	Yes

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Condensed Matter Physics

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title = "Global stability of a jet in crossflow",

abstract = "A linear stability analysis shows that the jet in crossflow is characterized by self-sustained global oscillations for a jet-to-crossflow velocity ratio of 3. A fully three-dimensional unstable steady-state solution and its associated global eigenmodes are computed by direct numerical simulations and iterative eigenvalue routines. The steady flow, obtained by means of selective frequency damping, consists mainly of a (steady) counter-rotating vortex pair (CVP) in the far field and horseshoe-shaped vortices close to the wall. High-frequency unstable global eigenmodes associated with shear-layer instabilities on the CVP and low-frequency modes associated with shedding vortices in the wake of the jet are identified. Furthermore, different spanwise symmetries of the global modes are discussed. This work constitutes the first simulation-based global stability analysis of a fully three-dimensional base flow. {\textcopyright} 2009 Cambridge University Press.",

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T1 - Global stability of a jet in crossflow

AU - Bagheri, Shervin

AU - Schlatter, Philipp

AU - Schmid, Peter J.

AU - Henningson, Dan S.

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PY - 2009/1/1

Y1 - 2009/1/1

N2 - A linear stability analysis shows that the jet in crossflow is characterized by self-sustained global oscillations for a jet-to-crossflow velocity ratio of 3. A fully three-dimensional unstable steady-state solution and its associated global eigenmodes are computed by direct numerical simulations and iterative eigenvalue routines. The steady flow, obtained by means of selective frequency damping, consists mainly of a (steady) counter-rotating vortex pair (CVP) in the far field and horseshoe-shaped vortices close to the wall. High-frequency unstable global eigenmodes associated with shear-layer instabilities on the CVP and low-frequency modes associated with shedding vortices in the wake of the jet are identified. Furthermore, different spanwise symmetries of the global modes are discussed. This work constitutes the first simulation-based global stability analysis of a fully three-dimensional base flow. © 2009 Cambridge University Press.

AB - A linear stability analysis shows that the jet in crossflow is characterized by self-sustained global oscillations for a jet-to-crossflow velocity ratio of 3. A fully three-dimensional unstable steady-state solution and its associated global eigenmodes are computed by direct numerical simulations and iterative eigenvalue routines. The steady flow, obtained by means of selective frequency damping, consists mainly of a (steady) counter-rotating vortex pair (CVP) in the far field and horseshoe-shaped vortices close to the wall. High-frequency unstable global eigenmodes associated with shear-layer instabilities on the CVP and low-frequency modes associated with shedding vortices in the wake of the jet are identified. Furthermore, different spanwise symmetries of the global modes are discussed. This work constitutes the first simulation-based global stability analysis of a fully three-dimensional base flow. © 2009 Cambridge University Press.

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VL - 624

SP - 33

EP - 44

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Global stability of a jet in crossflow

Abstract

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