Model for Mixture Theory Simulation of Vortex Sand Ripple Dynamics
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137, Issue 5
Abstract
The complex coupled interactions between fluid and sandy sediment on the seafloor are simulated with a three-dimensional bottom boundary layer model (SedMix3D) developed from mixture theory. SedMix3D solves the unfiltered Navier-Stokes equations for a fluid-sediment mixture treated as a single continuum with effective properties that parameterize the fluid-sediment and sediment-sediment interactions including a variable mixture viscosity, a bulk hindered settling velocity, and a shear-induced, empirically calibrated, mixture diffusion term. A sediment flux equation models the concentration of sediment by describing the balance of sediment flux by advection, gravity, and shear-induced diffusion. The grid spacing is on the order of a sediment grain diameter, and simulated flows had maximum free-stream velocities between 20 and and periods between 2 and 4 s. Modeled ripple geometries ranged from a single ripple to multiple ripples with varying heights, lengths, and steepness. Only noncohesive sediments () with the material properties of quartz in water were considered. The model predicted ripple heights and lengths that compare reasonably to existing ripple predictor formulae. SedMix3D also predicts the merging and separation of ripples as they transition from an initial state to an equilibrium state.
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Acknowledgments
The first and third authors are supported under base funding to the Naval Research Laboratory from the Office of Naval Research (UNSPECIFIEDPE#61153N). Partial support for the first author was provided by the DoD National Defense Science and Engineering Graduate Fellowship Program and by the Office of Naval Research Coastal Geosciences Program Code 322 CG. This work was supported in part by a grant of computer time from the DoD High Performance Computing Modernization Program at the NAVY DSRC and the ERDC DSRC. The authors also thank Dr. Gretchen M. Burdick for her invaluable contribution to the original model source code while a postdoctoral researcher at the University of Florida and Dr. Bret M. Webb for his helpful insight.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137 • Issue 5 • September 2011
Pages: 225 - 233
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jan 19, 2010
Accepted: Dec 14, 2010
Published online: Dec 16, 2010
Published in print: Sep 1, 2011
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