A fully eulerian formulation for fluid-structure-interaction problems

In this work, we present a Fully Eulerian framework for fluid-structure interaction (fsi) problems coupling the incompressible Navier-Stokes equations with a hyperelastic solid. The Fully Eulerian framework is a monolithic implicit variational formulation for the coupled problem. In contrast to the...

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Bibliographic Details
Main Author: Richter, Thomas (Author)
Format: Article (Journal)
Language:English
Published: 2013
In: Journal of computational physics
Year: 2013, Volume: 233, Pages: 227-240
ISSN:1090-2716
DOI:10.1016/j.jcp.2012.08.047
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jcp.2012.08.047
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0021999112005153
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Author Notes:Thomas Richter
Description
Summary:In this work, we present a Fully Eulerian framework for fluid-structure interaction (fsi) problems coupling the incompressible Navier-Stokes equations with a hyperelastic solid. The Fully Eulerian framework is a monolithic implicit variational formulation for the coupled problem. In contrast to the well-established Arbitrary Lagrangian Eulerian (ALE) coordinates, the Fully Eulerian framework formulates both subproblems, fluid and solid, in Eulerian coordinates. This concept circumvents various difficulties connected to ALE coordinates since no artificial domain mapping is used. The formulation is an interface-capturing method and uses an extension of the solid’s deformation, the Initial Point Set, to detect the interface location. By construction, very large deformation as well as topology changes like contact of the solid to the domain boundary or other solid parts are possible.
Item Description:Available online 13 September 2012
Gesehen am 11.01.2022
Physical Description:Online Resource
ISSN:1090-2716
DOI:10.1016/j.jcp.2012.08.047