The paper reviews calculations performed to-date of vortex-shedding fl
ow past long cylinders at high Reynolds numbers where the effect of st
ochastic turbulent fluctuations superimposed on the 2D periodic sheddi
ng motion needs to be simulated. The experiences gathered with various
statistical turbulence models ranging from algebraic eddy-visocity mo
dels to Reynolds-stress-equation models are summarised and discussed,
and calculations of vortex-shedding flow past cylinders of various cro
ss-sections are presented. These calculations are confronted with larg
e-eddy simulations whenever possible, and a comparative discussion on
the various calculation methods is given.