The transition to unsteady flow and the dynamics of moderate-Reynolds-number
flows in unbounded and wall-bounded periodic arrays of aligned cylinders are examined
using lattice-Boltzmann simulations. The simulations are compared to experiments,
which necessarily have bounding walls. With bounding walls, the transition
to unsteady flow is accompanied by a loss of spatial periodicity, and the temporal
fluctuations are chaotic at much smaller Reynolds numbers. The walls, therefore,
affect the unsteady flows everywhere in the domain. Consistency between experiments
and simulations is established by examining the wake lengths for steady flows and
the fundamental frequencies at higher Reynolds numbers, both as a function of the
Reynolds number. Simulations are used to examine the velocity fluctuations, flow
topologies, and the fluctuating forces on the cylinders.
Removing the Correlation Term in Option Pricing Heston Model: Numerical Analysis and Computing
