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

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

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

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
Volume11
Issue number5
DOIs
Publication statusPublished - 1990
Externally publishedYes

Fingerprint

Incompressible flow
Unsteady Flow
Incompressible Flow
Formulation
Multiply Connected Domain
Petrov-Galerkin Method
Streamlines
Computational efficiency
Vorticity
Transport Equation
Computational Efficiency
Maximise
Benchmark
Finite Element

Keywords

  • Unsteady incompressible flows
  • Vorticity–streamfunction

ASJC Scopus subject areas

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

Cite this

Solution techniques for the vorticity–streamfunction formulation of two‐dimensional unsteady incompressible flows. / Tezduyar, Tayfun E.; Liou, J.; Ganjoo, D. K.; Behr, M.

In: International Journal for Numerical Methods in Fluids, Vol. 11, No. 5, 1990, p. 515-539.

Research output: Contribution to journalArticle

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