Petrov‐Galerkin methods on multiply connected domains for the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations

T. E. Tezduyar, R. Glowinski, J. Liou

研究成果: Article査読

48 被引用数 (Scopus)

抄録

In this paper we present streamline‐upwind/Petrov‐Galerkin finite element procedures for two‐dimensional fluid dynamics computations based on the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations. We address the difficulties associated with the convection term in the vorticity transport equation, lack of boundary condition for the vorticity at no‐slip boundaries, and determination of the value of the stream function at the internal boundaries for multiply connected domains. The proposed techniques, implemented within the framework of block‐iteration methods, have successfully been applied to various problems involving simply and multiply connected domains.

本文言語English
ページ(範囲)1269-1290
ページ数22
ジャーナルInternational Journal for Numerical Methods in Fluids
8
10
DOI
出版ステータスPublished - 1988 10
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • コンピュータ サイエンスの応用
  • 応用数学

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