Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations

T. J.R. Hughes, T. E. Tezduyar

Research output: Contribution to journalArticle

317 Citations (Scopus)

Abstract

A Petrov-Galerkin finite element formulation is presented for first-order hyperbolic systems of conservation laws with particular emphasis on the compressible Euler equations. Applications of the methodology are made to one- and two-dimensional steady and unsteady flows with shocks. Results obtained suggest the potential of the type of methods developed.

Original languageEnglish
Pages (from-to)217-284
Number of pages68
JournalComputer Methods in Applied Mechanics and Engineering
Volume45
Issue number1-3
DOIs
Publication statusPublished - 1984 Sep
Externally publishedYes

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations'. Together they form a unique fingerprint.

  • Cite this