Viscous Linear Instability of an Incompressible Round Jet with Petrov-Galerkin Spectral Method and Truncated Boundary

Xie Ming-Liang; Chan Tat-Leung; Yao Fu-Yuan

doi:10.3970/cmes.2010.067.039

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Viscous Linear Instability of an Incompressible Round Jet with Petrov-Galerkin Spectral Method and Truncated Boundary

Xie Ming-Liang^1,2, Chan Tat-Leung², Yao Fu-Yuan³
1 Corresponding author. The State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China. Tel.: (86) 8754 2417 8318
2 Department of Mechanical Engineering, Research Centre for Combustion and Pollution Control, the Hong Kong Polytechnic University, Kowloon, Hong Kong
3 Shandong Lukang Pharmaceutical Co., Ltd. Jilin, 272000, P. R. China

Computer Modeling in Engineering & Sciences 2010, 67(1), 39-54. https://doi.org/10.3970/cmes.2010.067.039

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Abstract

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.

Keywords

hydrodynamic stability, circular jet, spectral method, finite element method,

Cite This Article

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.

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