A COMPARISON OF VARIOUS BASIS FUNCTIONS BASED ON MESHLESS LOCAL PETROV-GALERKIN METHOD FOR LINEAR STABILITY OF CIRCULAR JET

Abstract

Various basis functions based on Fourier-Chebyshev Petrov-Galerkin spectral method are described for computation of temporal linear stability of a circular jet. Basis functions presented here are exponentially mapped Chebyshev functions. There is a linear dependence between the components of the perturbation vector field, and there are only two degrees of freedom for the perturbation continuum equation. According to the principle of permutation and combination, the basis function has three basic forms, i. e., the radial, azimuthal or axial component, respectively. The results show that three eigenvalues for various cases are consistent, but there is a preferable basis function for numerical computation.

Keywords

Dates

  • Submission Date2013-01-18
  • Revision Date2013-04-26
  • Acceptance Date2013-06-02
  • Online Date2013-12-28

DOI Reference

10.2298/TSCI1305329H

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