Open Access

ARTICLE

On Finite Element Analysis of Fluid Flows Fully Coupled with Structural Interactions

S. Rugonyi, K. J. Bathe¹

1 MIT, Cambridge, MA, USA.

Computer Modeling in Engineering & Sciences 2001, 2(2), 195-212. https://doi.org/10.3970/cmes.2001.002.195

Abstract

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.

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Keywords

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