Viscous Linear Instability of an Incompressible Round Jet with Petrov-Galerkin Spectral Method and Truncated Boundary
Xie Ming-Liang1,2, Chan Tat-Leung2, Yao Fu-Yuan3
Corresponding author. The State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China. Tel.: (86) 8754 2417 8318
Department of Mechanical Engineering, Research Centre for Combustion and Pollution Control, the Hong Kong Polytechnic University, Kowloon, Hong Kong
Shandong Lukang Pharmaceutical Co., Ltd. Jilin, 272000, P. R. China
A Fourier-Chebyshev Petrov-Galerkin spectral method is described for computation of temporal linear stability in a circular jet. The outer boundary of unbounded domains is truncated by large enough diameter. 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.
Ming-Liang, X., Tat-Leung, C., Fu-Yuan, Y. (2010). Viscous Linear Instability of an Incompressible Round Jet with Petrov-Galerkin Spectral Method and Truncated Boundary. CMES-Computer Modeling in Engineering & Sciences, 67(1), 39–54. https://doi.org/10.3970/cmes.2010.067.039
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