Flow-induced vibrations of non-linear cables. Part 1: Models and algorithms

In this paper, we develop governing equations for non-linear cables as well as a formulation for the coupled ow-structure problem. The structure is discretized with second-order accuracy while the ow is discretized using spectral=hp elements in the context of the arbitrary Lagrangian–Eulerian formulation (ALE). Several benchmark problems are considered and the computational implementation is detailed. In the second part of this work large-scale simulation examples are presented.