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

S. Rugonyi, K. J. Bathe1

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.

Keywords

Fluid-structure interaction, arbitrary Lag-rangian-Eulerian formulation, finite element methods, coupled procedures, Lyapunov characteristic exponent, dynamic stability.

Cite This Article

Rugonyi,, S. (2001). On Finite Element Analysis of Fluid Flows Fully Coupled with Structural Interactions. CMES-Computer Modeling in Engineering & Sciences, 2(2), 195–212.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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