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

The solution of fluid flows, modeled using the Navier-Stokes or Euler equations, fully coupled with structures/solids is considered. Simultaneous and parti- tioned solution procedures, used in the solution of the coupled equations, are briefly discussed, and advantages and disadvantages of their use are mentioned. In addi- tion, a simplified stability analysis of the interface equa- tions is presented, and unconditional stability for certain choices of time integration schemes is shown. Further- more, the long-term dynamic stability of fluid-structure interaction systems is assessed by the use of Lyapunov characteristic exponents, which allow differentiating be- tween 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 us- ing currently available techniques.