TY - EJOU AU - Ming-Liang, Xie AU - Huai-Chun, Zhou AU - Tat-Leung, Chan TI - An Improved Petrov-Galerkin Spectral Collocation Solution for Linear Stability of Circular Jet T2 - Computer Modeling in Engineering \& Sciences PY - 2009 VL - 46 IS - 3 SN - 1526-1506 AB - A 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. They satisfy the pole condition exactly at the origin, and can be used to expand vector functions efficiently by using the solenoidal condition. The mathematical formulation is presented in detail focusing on the analyticity of solenoidal vector field used for the approximation of the flow. The scheme provides spectral accuracy in the present cases studied and the numerical results are in agreement with former works. KW - hydrodynamic stability KW - circular jet KW - cylindrical system singularity KW - coordinate transformation KW - spectral-Galerkin method KW - projection method DO - 10.3970/cmes.2009.046.271