1. Coarsening Dynamics of 2D Subaqueous Dunes.
- Author
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Jarvis, P. A., Bacik, K. A., Narteau, C., and Vriend, N. M.
- Subjects
OSTWALD ripening ,SUB-aqueous dunes ,SEDIMENT analysis ,LARGE eddy simulation models ,COMPUTER simulation - Abstract
Fluid flow over an initially flat granular bed leads to the formation of a surface‐wave instability. The sediment bed profile coarsens and increases in amplitude and wavelength as disturbances develop from ripples into dunes. We perform experiments and numerical simulations to quantify both the temporal evolution of bed properties and the relationship between the initial growth rate and the friction velocity u∗. Experimentally, we study underwater bedforms originating from a thin horizontal particle layer in a narrow and counter‐rotating annular flume. We investigate the role of flow speed, flow depth and initial bed thickness on dune evolution. Bedforms evolve from small, irregular disturbances on the bed surface to rapidly growing connected terraces (2D equivalent of transverse dunes) before splitting into discrete dunes. Throughout much of this process, growth is controlled by dune collisions which are observed to result in either coalescence or ejection (mass exchange). We quantify the coarsening process by tracking the temporal evolution of the bed amplitude and wavelength. Additionally, we perform Large Eddy Simulations (LES) of the fluid flow inside the flume to relate the experimental conditions to u∗. By combining the experimental observations with the LES results, we find that the initial dune growth rate scales approximately as u∗5 ${u}_{\ast }^{5}$. These results can motivate models of finite‐amplitude dune growth from thin sediment layers that are important in both natural and industrial settings. Plain Language Summary: If the flow of water over a flat bed of sand is sufficiently fast, then grains of sand can be picked up, transported and deposited to form sand dunes. Initially, many small dunes form but, as the flow continues, they grow and merge to become a smaller number of larger dunes. We have performed experiments investigating the formation and growth of underwater dunes from an initially flat bed of sediment. In particular, we vary the speed of the flow, the depth of the water and the thickness of the sediment bed. We observe that the dunes initially grow rapidly, before reaching an almost‐constant height that increases with the sediment thickness. In order to relate the initial dune growth rate to the driving flow, we have also performed numerical simulations of the water flow in the experiment. This enables us to better‐constrain the shear stress on the sediment bed, which is quantified through the friction velocity u∗. By combining the experimental and numerical results, we show that the initial dune growth rate is approximately proportional to u∗5 ${u}_{\ast }^{5}$. These results can form a starting point for models describing the growth of underwater dunes. Key Points: Experiments show 2D dune pattern coarsening from a thin sediment bed through dune‐dune interactionsBedform amplitude and wavelength display exponentially saturated growthCombining experiments with Large Eddy Simulations finds a power‐law relation between the friction velocity and the initial growth rate [ABSTRACT FROM AUTHOR]
- Published
- 2022
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