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

Research output: Journal article publicationJournal articleAcademic researchpeer-review


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.
Original languageEnglish
Pages (from-to)39-53
Number of pages15
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number1
Publication statusPublished - 13 Dec 2010


  • Circular jet
  • Finite element method
  • Hydrodynamic stability
  • Spectral method

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Computer Science Applications

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