  Motivated by recent experimental and computational results concerning the
three-dimensional structure of vortices behind a vortex shedding flow meter [M.
Reik et al., Forsch. Ingenieurwes. 74, 77 (2010)], we study the
Strouhal-Reynolds number dependence in the vortex street in two dimensions
behind a trapezoid-shaped object by employing two types of
Frisch-Hasslacher-Pomeau (FHP) models. Our geometry is intended to reproduce
the operation of the vortex shedding flow meter in a two-dimensional setting,
thus preventing the formation of three-dimensional vortex structure. In
particular, we check if the anomalous Reynolds-Strouhal number dependence
reported for three dimensions can also be found in our two-dimensional
simulation. As we find that the Strouhal number is nearly independent of the
Reynolds number in this particular setup, our results provide support for the
hypothesis that three-dimensional flow structures are responsible for that
dependence, thus hinting at the importance of the pipe diameter to the accurate
operation of industrial vortex flow meters.
