Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization

Applications to transient convection-diffusion problems

Tayfun E. Tezduyar, D. K. Ganjoo

Research output: Contribution to journalArticle

91 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)49-71
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume59
Issue number1
DOIs
Publication statusPublished - 1986
Externally publishedYes

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weighting functions
convection
convection-diffusion equation
formulations
Navier-Stokes equation
differential equations
Navier Stokes equations
Differential equations
Convection

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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