Planar Viscous Flows Past Elliptic Cylinders up to Re = 10^5 with the Diffused Vortex Hydrodynamics Method
Please login to view abstract download link
Understanding transitional regimes in planar viscous flows past elliptic cylinders is of fundamental importance in aerodynamics and hydrodynamics. However, systematic investigations at Reynolds numbers exceeding 10^4 remain limited. Previous studies using the Diffused Vortex Hydrodynamics (DVH) method have characterized flow regimes in the range Re ∈ [10^2, 10^4] for similar geometries. In the present work, we extend this analysis to higher Reynolds numbers, in the range Re ∈ [10^4, 10^5], considering two aspect ratios (b/a = 0.40 and 0.10) and two angles of attack (α = 0° and α = 20°). The DVH method combines Regular Point Distributions with a multi-resolution strategy that concentrates computational effort in regions of strong vorticity gradients, enabling accurate resolution of boundary layers and wake dynamics at a moderate computational cost. The results reveal a pronounced sensitivity to geometry and angle of attack. For the bluff-like configuration (b/a = 0.40), transition to a turbulent regime occurs within the Reynolds number range investigated for both angles of attack. Conversely, for the slender configuration (b/a = 0.10), the boundary layer remains laminar over the entire range at α = 0°, while at α = 20° a leading-edge separation induces a stall condition, characterized by complex vorticity interactions. These findings clarify the combined role of aspect ratio and incidence in modulating separation, transition and wake dynamics and further demonstrate the capability of the DVH method to simulate high-Re flows past solid bodies. The present results provide new insight into drag-crisis onset and vortex-shedding mechanisms in elliptic-cylinder flows.
