Spectral method of decoupling the vorticity and stream function for the incompressible fluid flows

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Original languageEnglish
Pages (from-to)35-40
Journal / PublicationComputers and Mathematics with Applications
Issue number1
Publication statusPublished - Jan 1999


A spectral method is proposed for the vorticity-stream function equations of the incompressible fluid flows. It is effective to overcome the lack of vorticity boundary condition. This method decouples the vorticity and stream function. At each time step, first, the vorticity is explicitly solved and the stream function is evaluated by a Poisson-like equation; then the vorticity is determined by a Poisson-like equation again. The numerical experiments show that this method is of efficiency and high accuracy. © 1998 Elsevier Science Ltd. All rights reserved.

Research Area(s)

  • Spectral method, Vorticity-stream function formulation