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Direct Numerical Simulation of a Temporally Evolving Incompressible Plane Wake: Effect of Initial Conditions on Evolution and TopologyDirect numerical simulations have been used to examine the effect of the initial disturbance field on the development of three-dimensionality and the transition to turbulence in the incompressible plane wake. The simulations were performed using a new numerical method for solving the time-dependent, three-dimensional, incompressible Navier-Stokes equations in flows with one infinite and two periodic directions. The method uses standard Fast Fourier Transforms and is applicable to cases where the vorticity field is compact in the infinite direction. Initial disturbances fields examined were combinations of two-dimensional waves and symmetric pairs of 60 deg oblique waves at the fundamental, subharmonic, and sub-subharmonic wavelengths. The results of these simulations indicate that the presence of 60 deg disturbances at the subharmonic streamwise wavelength results in the development of strong coherent three-dimensional structures. The resulting strong three-dimensional rate-of-strain triggers the growth of intense fine scale motions. Wakes initiated with 60 deg disturbances at the fundamental streamwise wavelength develop weak coherent streamwise structures, and do not develop significant fine scale motions, even at high Reynolds numbers. The wakes which develop strong three-dimensional structures exhibit growth rates on par with experimentally observed turbulent plane wakes. Wakes which develop only weak three-dimensional structures exhibit significantly lower late time growth rates. Preliminary studies of wakes initiated with an oblique fundamental and a two-dimensional subharmonic, which develop asymmetric coherent oblique structures at the subharmonic wavelength, indicate that significant fine scale motions only develop if the resulting oblique structures are above an angle of approximately 45 deg.
Document ID
19970012898
Acquisition Source
Ames Research Center
Document Type
Contractor Report (CR)
Authors
Sondergaard, R.
(Stanford Univ. Stanford, CA United States)
Cantwell, B.
(Stanford Univ. Stanford, CA United States)
Mansour, N.
(Stanford Univ. Stanford, CA United States)
Date Acquired
September 6, 2013
Publication Date
February 1, 1997
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
JIAA-TR-118
NAS 1.26:203613
NASA-CR-203613
Accession Number
97N17025
Funding Number(s)
CONTRACT_GRANT: NCC2-55
CONTRACT_GRANT: N00014-90-J-1976
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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