Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problems

I. E. Tezduyar*, D. K. Ganjoo

*この研究の対応する著者

研究成果査読

95 被引用数 (Scopus)

抄録

A new Petrov-Galerkin finite element formulation has been proposed for transient convection-diffusion problems. Most Petrov-Galerkin formulations take into account the spatial discretization and the weighting functions so developed give satisfactory solutions for steady state problems. Though these schemes can be used for transient problems, there is scope for improvement. The schemes proposed here, which take into account temporal as well as spatial discretization, provide improved solutions. In view of the generality of the differential equation being solved, these schemes can be implemented for any physical problem which is governed by the transient convection-diffusion equation. It is also expected that these schemes, suitably adapted, will improve the numerical solutions of the compressible Euler and Navier-Stokes equations.

本文言語English
ページ(範囲)49-71
ページ数23
ジャーナルComputer Methods in Applied Mechanics and Engineering
59
1
DOI
出版ステータスPublished - 1986 11
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用

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