A finite-element/boundary-element method for large-displacement fluid-structure interaction with potential flow

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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 presented as an enabling technology, addressing these challenges by avoiding volumetric meshing as required by arbitrary Lagrangian Eulerian or immersed boundary type methods. The presented formulation includes a compatibility condition, to which a physical interpretation is given; and a regularizing bending stiffness, observed to be necessary from both the theoretical (well-posedness) and numerical (stability) point of view. A cheap contact load is designed to deal with possibly complex geometries, reusing already computed discrete boundary element kernels. Numerical experiments show the capabilities of the proposed scheme. Keywords: Fluid–structure interaction; Inflatable structures; Boundary element method (BEM); Strong coupling
Original languageEnglish
Pages (from-to)57-69
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume266
DOIs
Publication statusPublished - 2013

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