Vorticity‐streamfunction formulation of unsteady incompressible flow past a cylinder

Sensitivity of the computed flow field to the location of the outflow boundary

M. Behr, J. Liou, R. Shih, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

The influence of the location of the outflow computational boundary on the unsteady incompressible flow past a circular cylinder at Reynolds number 100 is examined. The vorticity‐streamfunction formulation of the Navier‐Stokes equations is used in all computations. Two types of outflow boundary conditions are subjected to a series of tests in which the domain length is gradually reduced. The traction‐free condition performs well in most cases and allows the outflow boundary to be located as close as 6.5 cylinder diameters from the body. The other boundary condition type is not as forgiving, but has the advantage of being simpler to implement and can still provide reasonably accurate solutions. It is also observed that both condition types can influence the flow field strongly and globally when the boundary is brought closer than 2.5 diameters from the body. In such cases the temporal periodicity of the solution is lost.

Original languageEnglish
Pages (from-to)323-342
Number of pages20
JournalInternational Journal for Numerical Methods in Fluids
Volume12
Issue number4
DOIs
Publication statusPublished - 1991
Externally publishedYes

Fingerprint

Incompressible flow
Unsteady Flow
Incompressible Flow
Flow Field
Flow fields
Boundary conditions
Formulation
Circular cylinders
Reynolds number
Circular Cylinder
Periodicity
Navier-Stokes Equations
Series
Influence

Keywords

  • Outflow boundary conditions
  • Vorticity‐streamfunction formulation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

@article{ba5a458c89874c0abb89cdf7812e4225,
title = "Vorticity‐streamfunction formulation of unsteady incompressible flow past a cylinder: Sensitivity of the computed flow field to the location of the outflow boundary",
abstract = "The influence of the location of the outflow computational boundary on the unsteady incompressible flow past a circular cylinder at Reynolds number 100 is examined. The vorticity‐streamfunction formulation of the Navier‐Stokes equations is used in all computations. Two types of outflow boundary conditions are subjected to a series of tests in which the domain length is gradually reduced. The traction‐free condition performs well in most cases and allows the outflow boundary to be located as close as 6.5 cylinder diameters from the body. The other boundary condition type is not as forgiving, but has the advantage of being simpler to implement and can still provide reasonably accurate solutions. It is also observed that both condition types can influence the flow field strongly and globally when the boundary is brought closer than 2.5 diameters from the body. In such cases the temporal periodicity of the solution is lost.",
keywords = "Outflow boundary conditions, Vorticity‐streamfunction formulation",
author = "M. Behr and J. Liou and R. Shih and Tezduyar, {Tayfun E.}",
year = "1991",
doi = "10.1002/fld.1650120403",
language = "English",
volume = "12",
pages = "323--342",
journal = "International Journal for Numerical Methods in Fluids",
issn = "0271-2091",
publisher = "John Wiley and Sons Ltd",
number = "4",

}

TY - JOUR

T1 - Vorticity‐streamfunction formulation of unsteady incompressible flow past a cylinder

T2 - Sensitivity of the computed flow field to the location of the outflow boundary

AU - Behr, M.

AU - Liou, J.

AU - Shih, R.

AU - Tezduyar, Tayfun E.

PY - 1991

Y1 - 1991

N2 - The influence of the location of the outflow computational boundary on the unsteady incompressible flow past a circular cylinder at Reynolds number 100 is examined. The vorticity‐streamfunction formulation of the Navier‐Stokes equations is used in all computations. Two types of outflow boundary conditions are subjected to a series of tests in which the domain length is gradually reduced. The traction‐free condition performs well in most cases and allows the outflow boundary to be located as close as 6.5 cylinder diameters from the body. The other boundary condition type is not as forgiving, but has the advantage of being simpler to implement and can still provide reasonably accurate solutions. It is also observed that both condition types can influence the flow field strongly and globally when the boundary is brought closer than 2.5 diameters from the body. In such cases the temporal periodicity of the solution is lost.

AB - The influence of the location of the outflow computational boundary on the unsteady incompressible flow past a circular cylinder at Reynolds number 100 is examined. The vorticity‐streamfunction formulation of the Navier‐Stokes equations is used in all computations. Two types of outflow boundary conditions are subjected to a series of tests in which the domain length is gradually reduced. The traction‐free condition performs well in most cases and allows the outflow boundary to be located as close as 6.5 cylinder diameters from the body. The other boundary condition type is not as forgiving, but has the advantage of being simpler to implement and can still provide reasonably accurate solutions. It is also observed that both condition types can influence the flow field strongly and globally when the boundary is brought closer than 2.5 diameters from the body. In such cases the temporal periodicity of the solution is lost.

KW - Outflow boundary conditions

KW - Vorticity‐streamfunction formulation

UR - http://www.scopus.com/inward/record.url?scp=0026114542&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026114542&partnerID=8YFLogxK

U2 - 10.1002/fld.1650120403

DO - 10.1002/fld.1650120403

M3 - Article

VL - 12

SP - 323

EP - 342

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

IS - 4

ER -