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.
Original language | English (US) |
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Pages (from-to) | 195-212 |
Number of pages | 18 |
Journal | CMES - Computer Modeling in Engineering and Sciences |
Volume | 2 |
Issue number | 2 |
State | Published - 2001 |
Keywords
- Arbitrary Lagrangian-Eulerian formulation, finite element methods, coupled procedures, Lyapunov characteristic exponent, dynamic stability
- Fluid-structure interaction
ASJC Scopus subject areas
- Software
- Modeling and Simulation
- Computer Science Applications