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A Spectral Multi-Domain Code for the Navier-Stokes Equations

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Instability, Transition, and Turbulence

Part of the book series: ICASE NASA LaRC Series ((ICASE/NASA))

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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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  • Danabasoglu, G., Biringen, S. & Streett, C. L. 1991 Spatial simulation of instability control by periodic suction blowing. Phys. Fluids A 3, 2138.

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  • Macaraeg, M. G. & Streett, C. L. 1986 Improvements in spectral collocation discretization through a multiple domain technique. Appl. Num. Math. 2, 95.

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  • Streett, C. L. & Hussaini, M. Y. 1986 Finite length effects in Taylor-Couette flow. ICASE Report No: 86–59.

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Author information

Authors and Affiliations

  1. University of Colorado, Boulder, Colorado, USA

    G. Danabasoglu & S. Biringen

  2. NASA Langley Research Center, Hampton, Virginia, USA

    C. L. Streett

Authors
  1. G. Danabasoglu
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  2. S. Biringen
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  3. C. L. Streett
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Editor information

Editors and Affiliations

  1. ICASE, NASA Langley Research Center, Hampton, VA, 23665, USA

    M. Y. Hussaini

  2. NASA Langley Research Center, Hampton, VA, 23665, USA

    A. Kumar  & C. L. Streett  & 

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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

  • eBook Packages: Springer Book Archive

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