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Application of spectral methods to the solution of Navier-Stokes equations

  • Thomas D. Taylor
  • John W. Murdock
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 771)

Keywords

Spectral Method Boundary Layer Stability Spectral Space Spectral Expansion Pressure Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Gottlieb, D. and Orszag, S.A., "Numerical Analysis of Spectral Methods", Soc. Ind. and App. Math., Phil., Pa., 1977.Google Scholar
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    Murdock, J.W. and Taylor, T.D., "Numerical Investigation of Nonlinear Wave Interaction in a Two-Dimensional Boundary Layer," AGARD Symposium on Laminar Turbulent Transition, May 1977, Copenhagen, Denmark.Google Scholar
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    Murdock, J.W., "A Numerical Study of Nonlinear Effects on Boundary Layer Stability," AIAA Journal, No. 8, August 1977, pp. 1167.Google Scholar
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    Rogallo, R.S. "An ILLIAC Program for the Numerical Simulation of Homogeneous Incompressible Turbulence", NASA TM-73, 203, Nov. 77.Google Scholar
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    Moin, P. and Kim, J., "On the Numerical Solution of Time Dependent Viscous Incrompressible Flows Involving Solid Boundaries", to appear in Journal Comp. Physics.Google Scholar
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    Murdock, J.W., "Generation of a Tollmien-Schlichting Wave by a Sound Wave", to appear in IUTAM Proceedings of Symposium on Laminar-Turbulent Transition, Stuttgart, Germany, Sept. 1979.Google Scholar
  7. 7.
    Peyret, R., "A Hermitian Finite Difference Method for the Solution of the Navier-Stokes Equations", Proc. International Conf. on Numerical Methods for Laminar and Turbulent Flow, Swansea (G.B.), July, 1978, also ONERA T.P. No. 1978–29.Google Scholar
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    Lanczos, C., Applied Analysis, Prentice Hall, Englewood Cliffs, N.J., 1956.zbMATHGoogle Scholar
  9. 9.
    Fox, L. and Parker, I.B., Chebyshev Polynomials in Numerical Analysis, Oxford University Press, London, (1968).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Thomas D. Taylor
    • 1
  • John W. Murdock
    • 1
  1. 1.The Aerospace CorporationLos Angeles

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