Journal of Hydrodynamics

, Volume 18, Issue 1, pp 260–264 | Cite as

Numerical research on the hydrodynamic stability of Blasius flow with spectral method

  • Ming-Liang Xie
  • Hong-Bing Xiong
  • Jian-Zhong Lin
Session B4


Orr-Sommerfeld equation is solved numerically using expansions in Chebyshev polynomials. The numerical results show a good agreement with Howarth’s solution, with relatively low computational cost. This method is then applied to the stability of flat plate boundary layer flow compared with the finite difference method; our study shows that the expansions in Chebyshev polynomials are more suitable for the solution of hydrodynamic stability problems than the expansions in finite difference method.

Key words

linear stability Blasius equation Chebyshev polynomials spectral method 


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Copyright information

© China Ship Scientific Research Center 2006

Authors and Affiliations

  • Ming-Liang Xie
    • 1
    • 2
  • Hong-Bing Xiong
    • 1
    • 2
  • Jian-Zhong Lin
    • 1
    • 2
  1. 1.Department of Mechanics, State Key Laboratory of Fluid Power Transmission and ControlZhejiang UniversityHangzhouChina
  2. 2.China Jiliang UniversityHangzhouChina

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