Towards stable coupling methods for high-order discretization of fluid-structure interaction: Algorithms and observations

Robert M. Kirby, Zohar Yosibash, George Em Karniadakis

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Weak coupling of an explicit spectral/hp finite element ALE fluid solver with a Chebyshev collocation structural solver for fluid-structure interaction problems is addressed. When attempting to couple high-order spatial discretizations of both fluid and structural phenomena, we are required to consider first principles in order to answer two important questions: (1) What information (e.g. forces, velocities, displacements) does one transfer and when? and (2) How does one transfer information? Our goal is to address these questions by considering a non-conventional transfer of velocities of the wet-surface from the structure to the fluid, and the usual transfer of pressures on the wet-surface from the fluid to the structure. A subsonic three-dimensional compressible flow over an elastic non-linear plate model is considered as a representative example problem and we explore the various function spaces in which data (such as pressures, velocities and displacements) lie. We provide arguments as to what projection algorithms to use in combination with a time-staggering scheme to achieve stable and accurate results and at the same time to retain a temporal second-order scheme. We demonstrate the proposed algorithms by numerical examples considering long time integration.

Original languageEnglish
Pages (from-to)489-518
Number of pages30
JournalJournal of Computational Physics
Volume223
Issue number2
DOIs
StatePublished - 1 May 2007

Keywords

  • Coupling algorithms
  • Data transfer
  • Fluid-structure interaction
  • High-order methods
  • Spectral/hp elements

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