A potential-flow BEM for large-displacement FSI

T.M. Opstal, van, E.H. Brummelen, van

Research output: Book/ReportReportAcademic

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Abstract

This work concerns the interaction of light membrane structures enclosing incompressible fluids. Large displacements and collapsed boundaries (initially slender subdomains) are characteristic of this class of problems. A finite-element/boundary-element (FE/BE) coupled discretization is discussed in this work which addresses these challenges. Most common linear fluid models have a boundary-integral representation, restricting the problem to the boundary and making them amenable to a boundary element method (BEM) discretization. A marked advantage of this representation with respect to the conventional partial-differential-equation-based view of finite-element methods for fluids is the bypassing of volumetric meshing. The FE/BE approach is therefore an enabling method for fluid-structure interaction (FSI) problems involving membranes, and the present work serves as a proof of concept for this approach. Numerical experiments show the capabilities of the proposed scheme.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages29
Publication statusPublished - 2012

Publication series

NameCASA-report
Volume1203
ISSN (Print)0926-4507

Fingerprint

Fluid structure interaction
Potential flow
Boundary element method
Fluids
Membrane structures
Partial differential equations
Membranes
Finite element method
Experiments

Cite this

Opstal, van, T. M., & Brummelen, van, E. H. (2012). A potential-flow BEM for large-displacement FSI. (CASA-report; Vol. 1203). Eindhoven: Technische Universiteit Eindhoven.
Opstal, van, T.M. ; Brummelen, van, E.H. / A potential-flow BEM for large-displacement FSI. Eindhoven : Technische Universiteit Eindhoven, 2012. 29 p. (CASA-report).
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Opstal, van, TM & Brummelen, van, EH 2012, A potential-flow BEM for large-displacement FSI. CASA-report, vol. 1203, Technische Universiteit Eindhoven, Eindhoven.

A potential-flow BEM for large-displacement FSI. / Opstal, van, T.M.; Brummelen, van, E.H.

Eindhoven : Technische Universiteit Eindhoven, 2012. 29 p. (CASA-report; Vol. 1203).

Research output: Book/ReportReportAcademic

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AB - This work concerns the interaction of light membrane structures enclosing incompressible fluids. Large displacements and collapsed boundaries (initially slender subdomains) are characteristic of this class of problems. A finite-element/boundary-element (FE/BE) coupled discretization is discussed in this work which addresses these challenges. Most common linear fluid models have a boundary-integral representation, restricting the problem to the boundary and making them amenable to a boundary element method (BEM) discretization. A marked advantage of this representation with respect to the conventional partial-differential-equation-based view of finite-element methods for fluids is the bypassing of volumetric meshing. The FE/BE approach is therefore an enabling method for fluid-structure interaction (FSI) problems involving membranes, and the present work serves as a proof of concept for this approach. Numerical experiments show the capabilities of the proposed scheme.

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Opstal, van TM, Brummelen, van EH. A potential-flow BEM for large-displacement FSI. Eindhoven: Technische Universiteit Eindhoven, 2012. 29 p. (CASA-report).