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Techniques for efficient implementation of pseudo-spectral methods and comparisons with finite difference solutions of the Navier-Stokes equations

  • Richard S. Hirsh
  • Thomas D. Taylor
  • Margaret M. Nadworny
  • J. L. Kerr
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 170)

Abstract

The results of this study have shown that: (i) direct matrix inversions are competitive with FFT's for calculating pseudo-spectral representations; (ii) all real space Poisson solvers are possible with the use of a predictor-corrector procedure; (iii) the iterative time integration scheme is very attractive for use in incompressible flows; (iv) energy conservation in stratified flow using finite difference techniques can be accomplished using a combination of conservative and Piacsek-Williams differencing; and (v) computation times for pseudo-spectral calculations are faster than finite difference calculations of equivalent accuracy.

Keywords

Interpolation Point Vorticity Distribution Finite Difference Technique Finite Difference Solution Spectral Solution 
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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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Richard S. Hirsh
    • 1
  • Thomas D. Taylor
    • 1
  • Margaret M. Nadworny
    • 1
  • J. L. Kerr
    • 1
  1. 1.Applied Physics LaboratoryThe Johns Hopkins UniversityLaurel

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