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

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

Research output: Contribution to journalArticle

310 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
Externally publishedYes

Fingerprint

hyperbolic systems
unsteady flow
Euler equations
steady flow
Steady flow
Unsteady flow
conservation laws
Conservation
finite element method
shock
methodology
Finite element method
formulations

ASJC Scopus subject areas

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

Cite this

@article{3d701496b4a04a6894357c9dac546252,
title = "Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations",
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.",
author = "Hughes, {T. J.R.} and Tezduyar, {Tayfun E.}",
year = "1984",
doi = "10.1016/0045-7825(84)90157-9",
language = "English",
volume = "45",
pages = "217--284",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "1-3",

}

TY - JOUR

T1 - Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations

AU - Hughes, T. J.R.

AU - Tezduyar, Tayfun E.

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021497923&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021497923&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(84)90157-9

DO - 10.1016/0045-7825(84)90157-9

M3 - Article

VL - 45

SP - 217

EP - 284

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 1-3

ER -