Lagrangian-Eulerian finite element formulation for incompressible viscous flows

Thomas J R Hughes; Wing Kam Liu; Thomas K. Zimmermann

doi:10.1016/0045-7825(81)90049-9

Lagrangian-Eulerian finite element formulation for incompressible viscous flows

Thomas J R Hughes^*, Wing Kam Liu, Thomas K. Zimmermann

^*Corresponding author for this work

Mechanical Engineering

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

1386 Scopus citations

Abstract

A transient, finite element formulation is given for incompressible viscous flows in an arbitrarily mixed Lagrangian-Eulerian description. The procedures developed are appropriate for modeling the fluid subdomain of many fluid-solid interaction, and free-surface problems.

Original language	English (US)
Pages (from-to)	329-349
Number of pages	21
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/0045-7825(81)90049-9
State	Published - Dec 1981

Funding

We gratefullya cknowledget he following individuals and agencies:T he California Institute of Technology Computer Center for providing computing services; The National Science Foundation for supportingW ing Kam Liu under Grant No. ENV77-23687;T he SwissN ational Foundation for Scientific Research for supporting Thomas Zimmermann under Grant No. 820.343.75a;n d Derek Goring for computingw ork relatedt o the numericalr esults.

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/0045-7825(81)90049-9

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title = "Lagrangian-Eulerian finite element formulation for incompressible viscous flows",

abstract = "A transient, finite element formulation is given for incompressible viscous flows in an arbitrarily mixed Lagrangian-Eulerian description. The procedures developed are appropriate for modeling the fluid subdomain of many fluid-solid interaction, and free-surface problems.",

author = "Hughes, {Thomas J R} and Liu, {Wing Kam} and Zimmermann, {Thomas K.}",

note = "Funding Information: We gratefullya cknowledget he following individuals and agencies:T he California Institute of Technology Computer Center for providing computing services; The National Science Foundation for supportingW ing Kam Liu under Grant No. ENV77-23687;T he SwissN ational Foundation for Scientific Research for supporting Thomas Zimmermann under Grant No. 820.343.75a;n d Derek Goring for computingw ork relatedt o the numericalr esults.",

year = "1981",

month = dec,

doi = "10.1016/0045-7825(81)90049-9",

language = "English (US)",

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pages = "329--349",

journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - Lagrangian-Eulerian finite element formulation for incompressible viscous flows

AU - Hughes, Thomas J R

AU - Liu, Wing Kam

AU - Zimmermann, Thomas K.

N1 - Funding Information: We gratefullya cknowledget he following individuals and agencies:T he California Institute of Technology Computer Center for providing computing services; The National Science Foundation for supportingW ing Kam Liu under Grant No. ENV77-23687;T he SwissN ational Foundation for Scientific Research for supporting Thomas Zimmermann under Grant No. 820.343.75a;n d Derek Goring for computingw ork relatedt o the numericalr esults.

PY - 1981/12

Y1 - 1981/12

N2 - A transient, finite element formulation is given for incompressible viscous flows in an arbitrarily mixed Lagrangian-Eulerian description. The procedures developed are appropriate for modeling the fluid subdomain of many fluid-solid interaction, and free-surface problems.

AB - A transient, finite element formulation is given for incompressible viscous flows in an arbitrarily mixed Lagrangian-Eulerian description. The procedures developed are appropriate for modeling the fluid subdomain of many fluid-solid interaction, and free-surface problems.

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U2 - 10.1016/0045-7825(81)90049-9

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JO - Computer Methods in Applied Mechanics and Engineering

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ER -

Lagrangian-Eulerian finite element formulation for incompressible viscous flows

Abstract

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ASJC Scopus subject areas

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