On computational issues of immersed finite element methods

X. Sheldon Wang; L. T. Zhang; Wing Kam Liu

doi:10.1016/j.jcp.2008.12.012

On computational issues of immersed finite element methods

X. Sheldon Wang^*, L. T. Zhang, Wing Kam Liu

^*Corresponding author for this work

Mechanical Engineering

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

46 Scopus citations

Abstract

The objective of this paper is to provide a review of recent finite element formulations for immersed methods. In these finite element formulations, independent Lagrangian solid meshes are introduced to move on top of a background Eulerian fluid mesh. This key feature allows the handling, without excessive fluid mesh adaptation, multiple deformable solids immersed in viscous fluid. In particular, pros and cons of both explicit and implicit approaches are illustrated along with subtle differences between incompressible and slightly compressible models.

Original language	English (US)
Pages (from-to)	2535-2551
Number of pages	17
Journal	Journal of Computational Physics
Volume	228
Issue number	7
DOIs	https://doi.org/10.1016/j.jcp.2008.12.012
State	Published - Apr 20 2009

Funding

The supports from NSF (DMI-0503652 and BES-0503649) and ASEE Summer Faculty Fellowship through AFRL are greatly acknowledged.

Keywords

Driven cavity
Fluid-structure interaction
Immersed boundary method
Immersed continuum method
Immersed finite element
Mixed finite element formulation

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2008.12.012

Cite this

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title = "On computational issues of immersed finite element methods",

abstract = "The objective of this paper is to provide a review of recent finite element formulations for immersed methods. In these finite element formulations, independent Lagrangian solid meshes are introduced to move on top of a background Eulerian fluid mesh. This key feature allows the handling, without excessive fluid mesh adaptation, multiple deformable solids immersed in viscous fluid. In particular, pros and cons of both explicit and implicit approaches are illustrated along with subtle differences between incompressible and slightly compressible models.",

keywords = "Driven cavity, Fluid-structure interaction, Immersed boundary method, Immersed continuum method, Immersed finite element, Mixed finite element formulation",

author = "{Sheldon Wang}, X. and Zhang, {L. T.} and Liu, {Wing Kam}",

note = "Funding Information: The supports from NSF (DMI-0503652 and BES-0503649) and ASEE Summer Faculty Fellowship through AFRL are greatly acknowledged.",

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doi = "10.1016/j.jcp.2008.12.012",

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AU - Sheldon Wang, X.

AU - Zhang, L. T.

AU - Liu, Wing Kam

N1 - Funding Information: The supports from NSF (DMI-0503652 and BES-0503649) and ASEE Summer Faculty Fellowship through AFRL are greatly acknowledged.

PY - 2009/4/20

Y1 - 2009/4/20

N2 - The objective of this paper is to provide a review of recent finite element formulations for immersed methods. In these finite element formulations, independent Lagrangian solid meshes are introduced to move on top of a background Eulerian fluid mesh. This key feature allows the handling, without excessive fluid mesh adaptation, multiple deformable solids immersed in viscous fluid. In particular, pros and cons of both explicit and implicit approaches are illustrated along with subtle differences between incompressible and slightly compressible models.

AB - The objective of this paper is to provide a review of recent finite element formulations for immersed methods. In these finite element formulations, independent Lagrangian solid meshes are introduced to move on top of a background Eulerian fluid mesh. This key feature allows the handling, without excessive fluid mesh adaptation, multiple deformable solids immersed in viscous fluid. In particular, pros and cons of both explicit and implicit approaches are illustrated along with subtle differences between incompressible and slightly compressible models.

KW - Driven cavity

KW - Fluid-structure interaction

KW - Immersed boundary method

KW - Immersed continuum method

KW - Immersed finite element

KW - Mixed finite element formulation

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M3 - Article

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EP - 2551

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 7

ER -

On computational issues of immersed finite element methods

Abstract

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Keywords

ASJC Scopus subject areas

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