An U-ALE formulation of 3-D unsteady viscoelastic flow

F.P.T. Baaijens

doi:10.1002/nme.1620360704

An U-ALE formulation of 3-D unsteady viscoelastic flow

F.P.T. Baaijens

Research output: Contribution to journal › Article › Academic › peer-review

33 Citations (Scopus)

242 Downloads (Pure)

Abstract

The Arbitrary-Lagrange-Euler (ALE) formulation is applied to the analysis of unsteady viscoelastic flow of an Upper-Convected-Maxwell (UCM) medium. It is shown how the requirement of incremental objectivity affects the stress updating scheme. The current implementation of the ALE formulation uses the Time-Discontinuous/Galerkin-Least-Squares (TD/GLS) method to handle the advective parts of the equations. Further, the ALE formulation is compared with an Updated-ALE formulation that is shown to give comparable results but is much more cost effective. The technique presented is particularly effective for free surface flows. Three applications are given.

Original language	English
Pages (from-to)	1115-1143
Journal	International Journal for Numerical Methods in Engineering
Volume	36
Issue number	7
DOIs	https://doi.org/10.1002/nme.1620360704
Publication status	Published - 1993

Access to Document

10.1002/nme.1620360704

605419Final published version, 1.07 MB

Cite this

@article{d8fbe84e34034ff4a43fa30082d51cc3,

title = "An U-ALE formulation of 3-D unsteady viscoelastic flow",

abstract = "The Arbitrary-Lagrange-Euler (ALE) formulation is applied to the analysis of unsteady viscoelastic flow of an Upper-Convected-Maxwell (UCM) medium. It is shown how the requirement of incremental objectivity affects the stress updating scheme. The current implementation of the ALE formulation uses the Time-Discontinuous/Galerkin-Least-Squares (TD/GLS) method to handle the advective parts of the equations. Further, the ALE formulation is compared with an Updated-ALE formulation that is shown to give comparable results but is much more cost effective. The technique presented is particularly effective for free surface flows. Three applications are given.",

author = "F.P.T. Baaijens",

year = "1993",

doi = "10.1002/nme.1620360704",

language = "English",

volume = "36",

pages = "1115--1143",

journal = "International Journal for Numerical Methods in Engineering",

issn = "0029-5981",

publisher = "Wiley",

number = "7",

}

TY - JOUR

T1 - An U-ALE formulation of 3-D unsteady viscoelastic flow

AU - Baaijens, F.P.T.

PY - 1993

Y1 - 1993

N2 - The Arbitrary-Lagrange-Euler (ALE) formulation is applied to the analysis of unsteady viscoelastic flow of an Upper-Convected-Maxwell (UCM) medium. It is shown how the requirement of incremental objectivity affects the stress updating scheme. The current implementation of the ALE formulation uses the Time-Discontinuous/Galerkin-Least-Squares (TD/GLS) method to handle the advective parts of the equations. Further, the ALE formulation is compared with an Updated-ALE formulation that is shown to give comparable results but is much more cost effective. The technique presented is particularly effective for free surface flows. Three applications are given.

AB - The Arbitrary-Lagrange-Euler (ALE) formulation is applied to the analysis of unsteady viscoelastic flow of an Upper-Convected-Maxwell (UCM) medium. It is shown how the requirement of incremental objectivity affects the stress updating scheme. The current implementation of the ALE formulation uses the Time-Discontinuous/Galerkin-Least-Squares (TD/GLS) method to handle the advective parts of the equations. Further, the ALE formulation is compared with an Updated-ALE formulation that is shown to give comparable results but is much more cost effective. The technique presented is particularly effective for free surface flows. Three applications are given.

U2 - 10.1002/nme.1620360704

DO - 10.1002/nme.1620360704

M3 - Article

SN - 0029-5981

VL - 36

SP - 1115

EP - 1143

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 7

ER -

An U-ALE formulation of 3-D unsteady viscoelastic flow

Abstract

Access to Document

Fingerprint

Cite this