TY  - EJOU
AU  - Xie, M.L. 

TI  - A comparison of various basis functions to linear stability of circular jet using MLPG method
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2010
VL  - 14
IS  - 3
SN  - 1933-2815

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

DO  - 10.3970/icces.2010.014.085