Finite elements and characteristics applied to advection-diffusion equations

Y. Hasbani*, E. Livne, M. Bercovier

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

This paper deals with an algorithm for the solution of advection-diffusion equations based on the finite element method combined with the discretization of the total differential Dρ Dt. We give in the one dimensional case the finite difference analog of our Galerkin method. Diffusion of the scheme is studied in the two dimensional case by means of a classic example. We show that the scheme is stable, has no phase error and leads to simple problems at each time step.

Original languageEnglish
Pages (from-to)71-83
Number of pages13
JournalComputers and Fluids
Volume11
Issue number2
DOIs
StatePublished - 1983

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