Computation of spatially periodic flows based on the vorticity-stream function formulation

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.

Original languageEnglish
Pages (from-to)121-142
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume83
Issue number2
DOIs
Publication statusPublished - 1990
Externally publishedYes

Fingerprint

Vorticity
vorticity
Reynolds number
formulations
incompressible flow
Incompressible flow
viscous flow
Viscous flow
symmetry

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

@article{f709b78847ba4a568f2a4a1828b6a07e,
title = "Computation of spatially periodic flows based on the vorticity-stream function formulation",
abstract = "Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.",
author = "Tezduyar, {Tayfun E.} and J. Liou",
year = "1990",
doi = "10.1016/0045-7825(90)90147-E",
language = "English",
volume = "83",
pages = "121--142",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Computation of spatially periodic flows based on the vorticity-stream function formulation

AU - Tezduyar, Tayfun E.

AU - Liou, J.

PY - 1990

Y1 - 1990

N2 - Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.

AB - Finite element solution strategies are presented for the two-dimensional, spatially periodic, viscous and inviscid, incompressible flows governed by the verticity-stream function formulation. These strategies are successfully tested on various uniperiodic and biperiodic viscous flow problems involving arrays of cylinders with Reynolds number 0 and 100. It is shown that in all cases for Reynolds number 100 the solution becomes unsteady and ceases to satisfy the symmetry conditions along the horizontal centerlines of the cylinders.

UR - http://www.scopus.com/inward/record.url?scp=0025505293&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025505293&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(90)90147-E

DO - 10.1016/0045-7825(90)90147-E

M3 - Article

AN - SCOPUS:0025505293

VL - 83

SP - 121

EP - 142

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 2

ER -