On finite element analysis of fluid flows fully coupled with structural interactions

S. Rugonyi, K. J. Bathe

Research output: Contribution to journalArticlepeer-review

196 Scopus citations


The solution of fluid flows, modeled using the Navier-Stokes or Euler equations, fully coupled with structures/solids is considered. Simultaneous and partitioned solution procedures, used in the solution of the coupled equations, are briefly discussed, and advantages and disadvantages of their use are mentioned. In addition, a simplified stability analysis of the interface equations is presented, and unconditional stability for certain choices of time integration schemes is shown. Furthermore, the long-term dynamic stability of fluid-structure interaction systems is assessed by the use of Lyapunov characteristic exponents, which allow differentiating between a chaotic and a regular system behavior. Some state-of-the-art numerical solutions are also presented to indicate the type of problems that can now be solved using currently available techniques.

Original languageEnglish (US)
Pages (from-to)195-212
Number of pages18
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number2
StatePublished - 2001


  • Arbitrary Lagrangian-Eulerian formulation, finite element methods, coupled procedures, Lyapunov characteristic exponent, dynamic stability
  • Fluid-structure interaction

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Computer Science Applications


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