Extended ALE Method for fluid–structure interaction problems with large structural displacements

Steffen Basting*, Annalisa Quaini, Sunčica Čanić, Roland GLOWINSKI

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

64 Citations (Scopus)


Standard Arbitrary Lagrangian–Eulerian (ALE) methods for the simulation of fluid–structure interaction (FSI) problems fail due to excessive mesh deformations when the structural displacement is large. We propose a method that successfully deals with this problem, keeping the same mesh connectivity while enforcing mesh alignment with the structure. The proposed Extended ALE Method relies on a variational mesh optimization technique, where mesh alignment with the structure is achieved via a constraint. This gives rise to a constrained optimization problem for mesh optimization, which is solved whenever the mesh quality deteriorates. The performance of the proposed Extended ALE Method is demonstrated on a series of numerical examples involving 2D FSI problems with large displacements. Two-way coupling between the fluid and structure is considered in all the examples. The FSI problems are solved using either a Dirichlet–Neumann algorithm, or a Robin–Neumann algorithm. The Dirichlet–Neumann algorithm is enhanced by an adaptive relaxation procedure based on Aitken's acceleration. We show that the proposed method has excellent performance in problems with large displacements, and that it agrees well with a standard ALE method in problems with mild displacement.

Original languageEnglish
Pages (from-to)312-336
Number of pages25
JournalJournal of Computational Physics
Publication statusPublished - 15 Feb 2017

Scopus Subject Areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Arbitrary Lagrangian–Eulerian formulation
  • Domain decomposition methods
  • Fluid–structure interaction
  • Mesh optimization


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