TY - EJOU AU - Bathe, S. Rugonyi, K. J. TI - On Finite Element Analysis of Fluid Flows Fully Coupled with Structural Interactions T2 - Computer Modeling in Engineering \& Sciences PY - 2001 VL - 2 IS - 2 SN - 1526-1506 AB - 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. KW - Fluid-structure interaction KW - arbitrary Lag-rangian-Eulerian formulation KW - finite element methods KW - coupled procedures KW - Lyapunov characteristic exponent KW - dynamic stability DO - 10.3970/cmes.2001.002.195