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

The solution of fluid flows, modeled using the Navier-Stokes or Euler equat ions, fully coupled with structures/solids is considered. Simultaneous and partitioned solution procedures, used in the solution of the coupled equati ons, are briefly discussed, and advantages and disadvantages of their use a re 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 stab ility of fluid-structure interaction systems is assessed by the use of Lyap unov characteristic exponents, which allow differentiating between a chaoti c 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.