Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements

T. E. Tezduyar, S. Mittal, R. Shih

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.

Original languageEnglish
Pages (from-to)363-384
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume87
Issue number2-3
DOIs
Publication statusPublished - 1991
Externally publishedYes

Fingerprint

incompressible flow
Incompressible flow
circular cylinders
Circular cylinders
Navier-Stokes equation
Navier Stokes equations
interpolation
Reynolds number
Interpolation
Vortex flow
Stabilization
stabilization
vortices
formulations
evaluation

ASJC Scopus subject areas

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

Cite this

Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements. / Tezduyar, T. E.; Mittal, S.; Shih, R.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 87, No. 2-3, 1991, p. 363-384.

Research output: Contribution to journalArticle

@article{4f55d1a827d04b5089c403f498a93189,
title = "Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements",
abstract = "Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.",
author = "Tezduyar, {T. E.} and S. Mittal and R. Shih",
year = "1991",
doi = "10.1016/0045-7825(91)90014-W",
language = "English",
volume = "87",
pages = "363--384",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "2-3",

}

TY - JOUR

T1 - Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements

AU - Tezduyar, T. E.

AU - Mittal, S.

AU - Shih, R.

PY - 1991

Y1 - 1991

N2 - Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.

AB - Quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows. These elements involve streamline-upwind/Petrov-Galerkin stabilization and are implemented in conjunction with the one-step and multi-step temporal integration of the Navier-Stokes equations. The two test cases chosen for the performance evaluation of the formulations are the standing vortex problem and flow past a circular cylinder at Reynolds number 100.

UR - http://www.scopus.com/inward/record.url?scp=0026172935&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026172935&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(91)90014-W

DO - 10.1016/0045-7825(91)90014-W

M3 - Article

AN - SCOPUS:0026172935

VL - 87

SP - 363

EP - 384

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 2-3

ER -