Abstract
A recent focus in studies of vortex shedding behind circular cylinders has been the use of low-dimensional dynamical systems to predict wake dynamics. Use of purely temporal models has been limited by their inability to describe three-dimensional spatial flow variations along the cylinder span; a hallmark of transitional flows such as the cylinder wake. In the present work this limitation is overcome by developing a spatial-temporal map lattice utilizing a series of coupled circle map oscillators along the cylinder span. This model allows for study of vortex shedding patterns and wake dynamics behind vibrating flexible cables with prescribed frequency, amplitude, and mode shape. Standing wave mode shapes and traveling waves along the cable span are modeled. Lace-like vortex patterns are observed for the standing wave case. For traveling waves oblique shedding patterns are confirmed. Non-harmonic forcing outside the classical lock-on region yields vortex dislocation patterns in the wake.
