Solution techniques for the vorticity–streamfunction formulation of two‐dimensional unsteady incompressible flows

Tayfun E. Tezduyar, J. Liou, D. K. Ganjoo, M. Behr

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39 Citations (Scopus)


A review of our solution techniques for the vorticity–streamfunction formulation of two‐dimensional incompressible flows is presented. While both the viscous and inviscid cases are considered, the derivation of the proper finite element formulations for multiply connected domains is emphasized. In all formulations associated with the vorticity transport equation, the streamline upwind/Petrov–Galerkin method is used. The adaptive implicit–explicit and grouped element‐by‐element solution strategies are employed to maximize the computational efficiency. The solutions obtained in all test cases compare well with solutions from previously published investigations. The convergence and benchmark studies performed in this paper show that the solution techniques presented are accurate, reliable and efficient.

Original languageEnglish
Pages (from-to)515-539
Number of pages25
JournalInternational Journal for Numerical Methods in Fluids
Issue number5
Publication statusPublished - 1990
Externally publishedYes



  • Unsteady incompressible flows
  • Vorticity–streamfunction

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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