Finite Elements and characteristics for some parabolic-hyperbolic problems

M. Bercovier*, O. Pironneau, V. Sastri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

Abstract

This paper deals with the numerical integration of partial differential equations of the advection-diffusion type when the advection dominates the diffusion. It is shown that finite differencing of the total derivatives yields schemes which do not require upwinding. The method is numerically tested on three problems: the advection diffusion linear problem, the Navier-Stokes equation and the Euler equations.

Original languageEnglish
Pages (from-to)89-96
Number of pages8
JournalApplied Mathematical Modelling
Volume7
Issue number2
DOIs
StatePublished - Apr 1983

Keywords

  • advection-diffusion
  • finite elements
  • numerical methods
  • upwinding

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