Combined interface boundary condition method for unsteady fluid-structure interaction

R. Jaiman, P. Geubelle, E. Loth, X. Jiao

Research output: Contribution to journalArticlepeer-review

Abstract

Traditionally, continuity of velocity and traction along interfaces are satisfied through algebraic interface conditions applied in a sequential or staggered fashion. In existing staggered procedures, the numerical treatment of the interface conditions can undermine the stability and accuracy of coupled fluid-structure simulations. This paper presents a new loosely-coupled partitioned procedure for modeling fluid-structure interaction called combined interface boundary condition (CIBC). The procedure relies on a higher-order treatment for improved accuracy and stability of fluid-structure coupling. By utilizing the CIBC technique on the velocity and momentum flux boundary conditions, a staggered coupling procedure can be constructed with similar order of accuracy and stability of standalone computations for either the fluids or structures. The new formulation involves a coupling parameter that adjusts the amount of interfacial traction in the form of acceleration correction, which plays a key role in the stability and accuracy of the coupled simulations. Introduced correction terms for velocity and traction transfer are explicitly added to the standard staggered time-stepping stencils based on the discretized coupling effects. The coupling scheme is demonstrated in the classical 1D closed- and open-domain elastic piston problems, but further work is needed to consider the analytical stability of these schemes, 3D problems and comparison to monolithic integration.

Original languageEnglish (US)
Pages (from-to)27-39
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number1-4
DOIs
StatePublished - Jan 1 2011

Keywords

  • Fluid-structure interaction
  • Interface conditions
  • Stability
  • Staggered scheme

ASJC Scopus subject areas

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

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