Large-Eddy Simulation of Flow Structures Around Two Finite-Length Tandem Cylinders

Large-eddy simulation (LES) is utilized to elucidate the flow characteristics and overall time-averaged drag coefficients of finite-length tandem cylinders. This study focuses explicitly on the three-dimensional effects induced by the free end, a feature absent in classical studies of infinite (two-dimensional) tandem cylinders. By varying the cylinder spacing ratio L/D from 1.5 to 5, the evolution of wake regimes and their variations along the vertical direction of the cylinders are systematically examined. The results reveal a distinct vertical transition of wake patterns: at the mid-height plane, the wake falls into the extended-body regime for L/D = 1.5 and 2, where vortex shedding occurs downstream of the downstream cylinder. When L/D = 3–5, the flow enters the reattachment regime, characterized by the separated shear layers from the upstream cylinder reattaching onto the windward face of the downstream cylinder, while a Kármán vortex street persists in its wake. In contrast, at planes near the free end, the flow characteristics shift towards the co-shedding regime for L/D ≥ 2, though strong downwash suppresses organized vortex shedding. This vertical transition of wake regimes, driven by free-end downwash, clarifies a significant gap in applying two-dimensional regime classifications to finite-length bodies. The overall time-averaged drag coefficients of the upstream and downstream cylinders show opposite trends with increasing L/D: the former decreases, whereas the latter increases. The force on the downstream cylinder changes from an upstream-directed drag to a downstream-directed thrust at L/D = 2. Overall, the results indicate that for L/D = 3–5, the overall drag coefficient of the cylinder is dominated by the co-shedding regime. These findings advance the understanding of flow interference in finite-length tandem configurations and offer refined insights for modeling analogous systems such as adjacent vegetation stems in aquatic environments.