摘要：In this paper some numerical results for vortex-induced vibrations (VIVs) of a
cylinder at low Reynolds number are presented. The main goal of these
preliminary results is the capturing of synchronization/lock-in phenomenon
when Reynolds number is swept for low dimensionless mass ratio (m '
153.3524). This fluid-structure interaction problem (FSI) contains three main
problems to be solved, the computational fluid dynamics (CFD), the
computational mesh dynamics (CMD) and the multi-body dynamics (MBD). In this
work this last problem is oversimplified to a single body dynamics, the
cylinder. A stabilized ALE (Arbitrary Lagrangian-Eulerian) formulation is used
to solve the incompressible laminar Navier Stokes equations. The cylinder is
considered as a rigid body and it is free to vibrate along the vertical
(transverse) direction and it is fixed to move in the horizontal one. The
mesh dynamics may be solved in general by a global optimization strategy,
however, in some special cases, a simple ad-hoc procedure may be adopted. For
each sub-problem a second order accurate in time scheme is adopted. The
fluid-structure interaction problem is solved with a strong coupling using a
fixed point iteration strategy. It consists of an additional loop over the
three problems forcing the convergence inside each time step. Hysteretic and
vortex-shedding modes are two additional topics that deserve
special attention and they are going to be included in a future work.
