Benchmarking the immersed finite element method for fluid-structure interaction problems

Saswati Roy, Luca Heltai, Francesco Costanzo

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

We present an implementation of a fully variational formulation of an immersed method for fluid-structure interaction problems based on the finite element method. While typical implementation of immersed methods are characterized by the use of approximate Dirac delta distributions, fully variational formulations of the method do not require the use of said distributions. In our implementation the immersed solid is general in the sense that it is not required to have the same mass density and the same viscous response as the surrounding fluid. We assume that the immersed solid can be either viscoelastic of differential type or hyperelastic. Here we focus on the validation of the method via various benchmarks for fluid-structure interaction numerical schemes. This is the first time that the interaction of purely elastic compressible solids and an incompressible fluid is approached via an immersed method allowing a direct comparison with established benchmarks.

Original languageEnglish (US)
Pages (from-to)1167-1188
Number of pages22
JournalComputers and Mathematics with Applications
Volume69
Issue number10
DOIs
StatePublished - May 1 2015

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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