Abstract
A computational method to study the spatial stability of the Blasius boundary layer in the presence of a roughness element is developed. The numerical scheme uses a time- splitting, finite-difference/spectral method to integrate the full Navier-Stokes equations on a stretched grid. Time advancement is done by the Crank-Nicolson and the third-order compact Runge-Kutta methods. Difficulties associated with the singular corners are overcome by the application of the multi-domain method. The code is also used for Blasius boundary layer instability and the results are compared with the linear theory.
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References
Danabasoglu, G. & Biringen, S. 1990 A Chebyshev matrix method for the spatial modes of the Orr-Sommerfeld equation. Int. J. Num. Meth. in Fluids 11, 1033
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© 1992 Springer-Verlag New York, Inc.
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Danabasoglu, G., Biringen, S., Streett, C.L. (1992). A Spectral Multi-Domain Code for the Navier-Stokes Equations. In: Hussaini, M.Y., Kumar, A., Streett, C.L. (eds) Instability, Transition, and Turbulence. ICASE NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2956-8_27
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DOI: https://doi.org/10.1007/978-1-4612-2956-8_27
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7732-3
Online ISBN: 978-1-4612-2956-8
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