Open Access

ARTICLE

An Improved Petrov-Galerkin Spectral Collocation Solution for Linear Stability of Circular Jet

by Xie Ming-Liang¹, Zhou Huai-Chun¹, Chan Tat-Leung³

1 The State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China
2 Corresponding author. Tel.: (86) 8754 2417 8301; Email: mlxie@mail.hust.edu.cn
3 Department of Mechanical Engineering, Research Centre for Combustion and Pollution Control, The Hong Kong Polytechnic University, Kowloon, Hong Kong

Computer Modeling in Engineering & Sciences 2009, 46(3), 271-290. https://doi.org/10.3970/cmes.2009.046.271

Abstract

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.

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Keywords

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