Advertisement

Mixed spectral/finite difference approximations for slightly viscous flows

  • Thomas A. Zang
  • M. Y. Hussaini
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)

Abstract

The SFD method has exhibited the ability to handle strong shocks and to outper-form the FFD method at moderate viscosity. On the more difficult problems, the SFD results are not yet as good as those of the best finite difference methods. Possibly the development of special filtering techniques especially suited for the global oscillations occurring in spectral methods will change the balance.

Keywords

Compressible Flow Advection Term Viscous Term Sonic Point Standard Finite Difference 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hamming, R. W. 1977, Digital Filters, Prentice-Hall.Google Scholar
  2. Holst, T. L. 1976, “The Relative Merits of Numerical Techniques for Solving Compressible Navier-Stokes Equations," NASA CP2001, 1467–1481.Google Scholar
  3. Orszag, S. A. & Gottlieb, D. 1979, “High Resolution Spectral Calculations of Inviscid Compressible Flows,” preprint.Google Scholar
  4. Orszag, S. A. & Israeli, M. 1974, “Numerical Simulation of Viscous Incompressible Flows,” Ann. Rev. Fluid Mech., 49, 75–112.Google Scholar
  5. Roache, P. J. 1975, “A Review of Numerical Techniques," Proceedings of the First International Conference on Numerical Ship Hydrodynamics.Google Scholar
  6. Whitham, G. B. 1974, Linear and Nonlinear Waves, Wiley-Interscience.Google Scholar
  7. Woodward, P. R. 1975, “On the Nonlinear Time Development of Gas Flow in Spiral Density Waves,” Astrophys. J., 195, 61–75.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Thomas A. Zang
    • 1
  • M. Y. Hussaini
    • 2
  1. 1.College of William & MaryWilliamsburg
  2. 2.Institute for Computer Applications in Science and EngineeringUSA

Personalised recommendations