Abstract
The cascade-transport model combines the isotropic turbulent cascade with transport and production terms based on a spectral distribution of the eddy viscosity. Thus, the turbulence energy spectrum can be modeled in shear flows. Containing both spatial and spectral information, the model could be a crude approximation to the wavelet- transformed equations of motion. The initial conditions for the wake are specified by the momentum thickness, the turbulence energy and Reynolds number, and the spectral exponent on the large-eddy side. Multiple nearly-self-preserving solutions are obtained, differing by the energy spectra, wake radii, centerline turbulence levels and turbulence energy budgets. One such solution is attracting for a range of initial conditions, while some memory of the initial spectra is observed for the others. The transport of weak, persistent freestream turbulence into a memoryless wake does not introduce a dependence on initial or ambient conditions. One concludes that the absence of memory is set in the near-wake, and corresponds to a stable solution.
Computations were carried out on the Alliant FX/80 of the Northeast Parallel Architecture Center (NPAC) at Syracuse University.
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© 1992 Springer-Verlag New York, Inc.
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Lewalle, J. (1992). Modeling the Effect of Initial And Free-Stream Conditions on Circular Wakes. In: Gatski, T.B., Speziale, C.G., Sarkar, S. (eds) Studies in Turbulence. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2792-2_35
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DOI: https://doi.org/10.1007/978-1-4612-2792-2_35
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