2004
DOI: 10.1016/j.fluiddyn.2003.10.003
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Three-dimensional evolution of structure and acoustic wave generation in a compressible plane wake

Abstract: The compressible Navier-Stokes equations are numerically solved to study three-dimensional structures of a compressible plane wake undergoing transition to turbulence. High-order compact ÿnite di erence schemes are used for spatial derivatives and a fourth-order Runge-Kutta scheme is employed for time advancement. NavierStokes characteristic boundary conditions are used in the vertical direction and periodic boundary conditions in the streamwise and spanwise directions. Unstable disturbances are obtained from … Show more

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Cited by 9 publications
(23 citation statements)
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References 23 publications
(33 reference statements)
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“…Note that the streamwise and transverse Q structure is stronger on the top half of the wake. This is quite different from the behavior of an oblique fundamental, where opposite sides of the wake evolve similarly (6) . Unlike the two-dimensional subharmonic, the oblique subharmonic instability does not lead to pairing.…”
Section: Methodsmentioning
confidence: 62%
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“…Note that the streamwise and transverse Q structure is stronger on the top half of the wake. This is quite different from the behavior of an oblique fundamental, where opposite sides of the wake evolve similarly (6) . Unlike the two-dimensional subharmonic, the oblique subharmonic instability does not lead to pairing.…”
Section: Methodsmentioning
confidence: 62%
“…The length of the computational domain in the streamwise and spanwise directions, L 1 and L 3 , is determined from the linear stability analysis (6) using a mapped Fourier method for the viscous compressible equations. Therefore, we have…”
Section: Methodsmentioning
confidence: 99%
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“…For positive values of ω i , the disturbances φ' are amplified in the streamwise direction whereas for negative the eigenfunctions are damped. We solved for the governing disturbance equation as an eigenvalue problem using spectral collocation methods (26) .…”
Section: Analysis Of the Physical Mechanism Of Instantaneous Fieldmentioning
confidence: 99%