TY - JOUR
TI - A comparison of various basis functions based on meshless local Petrov-Galerkin method for linear stability of circular jet
AU - He Qing
AU - Xie Mingliang
JN - Thermal Science
PY - 2013
VL - 17
IS - 5
SP - 1329
EP - 1335
PT - Article
AB - 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.