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Non linear evolution of a second mode wave in supersonic boundary layersPresented here are several direct simulations of one 2-D second mode perturbation wave, superimposed upon a prescribed mean flow. Periodicity is assumed in the streamwise direction (Fourier) and the variables are expanded in Chebyshev series in the direction normal to the flat plate. The code is fully explicit and is time advanced with a 3rd order Runge-Kutta scheme. The second mode wave (R delta prime = 8000), interacts with itself to generate higher streamwise harmonics. Physical parameters are chosen to maximize the linear growth rate at the prescribed Reynolds number. Initial results indicate that the nonlinear processes begin in the critical layer region and are the result of the cubic interactions in the momentum equations, rather than due to the higher streamwise harmonics. Analysis of the various terms in the momentum equations combined with numerical experiments in which various modes are artificially suppressed, lead to the conclusion that asymptotic methods will produce the saturated state in one or two order of magnitude less computer time than that required by the direct numerical simulations.
Document ID
19910001535
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Erlebacher, Gordon
(NASA Langley Research Center Hampton, VA, United States)
Hussaini, M. Y.
(Institute for Computer Applications in Science and Engineering Hampton, VA., United States)
Date Acquired
September 6, 2013
Publication Date
September 1, 1989
Publication Information
Publication: NASA, Ames Research Center, NASA Computational Fluid Dynamics Conference. Volume 1: Sessions 1-6
Subject Category
Aerodynamics
Accession Number
91N10848
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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