Abstract

We present results of time-evolving coupled direct numerical simulations between an erodible bed and an overlying pressure-driven, turbulent flow field. A total of 6 simulations are considered, the details of which are shown in Table 1. The numerical setup consists of a horizontally periodic open channel, and the simulations are run at a shear Reynolds number of Reτ = 180. The coupling between the spatially and temporally evolving sediment bed and the flow field is enforced through the explicit immersed boundary method (IBM) of Uhlmann [1]. The flow field is fully resolved and is obtained by integrating the conservation of mass and momentum equations using a pseudo spectral code [2]. On the other hand, the sediment bed is modelled via the Exner equation [3]. Details about the numerical approach are available in [4-5].

Highlights

  • Ripples are examples of bedform patterns that result from the instability of an erodible bed of particles subjected to the shearing action of an overlying flow field [6]

  • The Chevron features are next to emerge in panel c followed by the incipient crestlines in panel d

  • There is a rich spectrum of bedform interactions that occur during the development of the bed. [7] provide a thorough summary of the various bedform interactions documented in laboratory experiments as well as field studies

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Summary

Introduction

Ripples are examples of bedform patterns that result from the instability of an erodible bed of particles subjected to the shearing action of an overlying flow field [6]. 1 Background Ripples are examples of bedform patterns that result from the instability of an erodible bed of particles subjected to the shearing action of an overlying flow field [6]. The evolution of ripples has been well documented experimentally and numerically. We show using coupled, flow-bed simulations that we are able to capture the various stages of ripple formation observed in experimental flumes.

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