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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

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

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.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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