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

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

研究成果: Article査読

39 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)515-539
ページ数25
ジャーナルInternational Journal for Numerical Methods in Fluids
11
5
DOI
出版ステータスPublished - 1990
外部発表はい

ASJC Scopus subject areas

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

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