Modulation of flow over low-order topographies by low-order roughness
Phys. Rev. Fluids 11, 064611 – Published 15 June, 2026
DOI: https://doi.org/10.1103/nrd5-ny95
Abstract
The interaction between low-order roughness and large-scale topography is experimentally investigated using high-resolution particle image velocimetry in a refractive-index-matched channel at two bulk Reynolds numbers differing by an order of magnitude, and . A two-dimensional sinusoidal roughness is superimposed on a two-dimensional wavy wall to isolate the effects of multiscale surface modulation on near-wall turbulence. The added roughness reorganizes the flow by inducing larger coherent structures near the surface. Two-point correlations and integral length scales confirm enhanced near-wall coherence, while quadrant-hole analysis reveals a marked suppression of ejection events. This suppression weakens the local turbulence production term , leading to attenuation of the separated shear layer that develops downstream from the topographic crest within the adverse-pressure-gradient region. The resulting flow exhibits up to 25% lower peak turbulent kinetic energy and Reynolds shear stress relative to the smooth-wavy configuration. Even modest low-order roughness can therefore reorganize the coupling between near-wall and outer-layer motions, a mechanism that persists across an order of magnitude in Reynolds number and offers valuable insight for modeling transport and drag over natural and engineered surfaces.