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Direct numerical simulation of pattern formation in subaqueous sediment

Published online by Cambridge University Press:  30 May 2014

Aman G. Kidanemariam  and
Markus Uhlmann
Aman G. Kidanemariam
Affiliation:
Institute for Hydromechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
Markus Uhlmann*
Affiliation:
Institute for Hydromechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
*
†Email address for correspondence: markus.uhlmann@kit.edu
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Abstract

We present results of direct numerical simulation of incompressible fluid flow over a thick bed of mobile spherically shaped particles. The algorithm is based upon the immersed-boundary technique for fluid–solid coupling and uses a soft-sphere model for the solid–solid contact. Two parameter points in the laminar flow regime are chosen, leading to the emergence of sediment patterns classified as ‘small dunes’, while one case under turbulent flow conditions leads to ‘vortex dunes’ with significant flow separation on the lee side. The wavelength, amplitude and propagation speed of the patterns extracted from the spanwise-averaged fluid–bed interface are found to be consistent with available experimental data. The particle transport rates are well represented by available empirical models for flow over a plane sediment bed in both the laminar and the turbulent regimes.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Geophysical and Geological Flows: Sediment transport Turbulent Flows: Turbulent Flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 750 , 10 July 2014 , R2
Copyright
© 2014 Cambridge University Press 

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Kidanemariam and Uhlmann supplementary movie

Animation of the particle motion in Case TO1. In the top view particles are colored according to their vertical distance (increasing from blue to red). The two other views show a streamwise/wall-normal projection of the central region (indicated by the dashed lines in the top view) with two different fields of vision.

Download Kidanemariam and Uhlmann supplementary movie(Video)
Video 10.2 MB

Kidanemariam and Uhlmann supplementary movie

Animation of the particle motion in Case TO1 - Part 2.

Download Kidanemariam and Uhlmann supplementary movie(Video)
Video 10.2 MB

Kidanemariam and Uhlmann supplementary movie

Animation of the particle motion in Case TO1 - Part 3

Download Kidanemariam and Uhlmann supplementary movie(Video)
Video 10.2 MB

Kidanemariam and Uhlmann supplementary movie

Animation of the particle motion in Case TO1 - Part 4.

Download Kidanemariam and Uhlmann supplementary movie(Video)
Video 10.1 MB