Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations

Tayfun E. Tezduyar, Sunil Sathe, Keith Stein

Research output: Contribution to journalArticlepeer-review

148 Citations (Scopus)

Abstract

We provide an overview of the solution techniques we have developed for the fully discretized equations encountered at every time step in computation of fluid-structure interactions with the space-time techniques. These coupled, nonlinear equations are generated from the finite element discretization of the governing equations for the fluid mechanics, structural mechanics and the motion of the fluid mechanics mesh. The fluid mechanics equations are discretized with the deforming-spatial-domain/stabilized space-time formulation. The mesh motion is governed by the equations of elasticity, with the smaller elements stiffened in the finite element formulation. The coupled, fully discretized equations are solved with the block-iterative, quasi-direct and direct coupling methods. We present numerical examples with incompressible flows and membrane and cable structures.

Original languageEnglish
Pages (from-to)5743-5753
Number of pages11
JournalComputer Methods in Applied Mechanics and Engineering
Volume195
Issue number41-43
DOIs
Publication statusPublished - 2006 Aug 15
Externally publishedYes

Keywords

  • FSI
  • Fluid-structure interactions
  • Iterative and direct coupling techniques
  • Light structures
  • Space-time finite elements

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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