Abstract
A two-layer process-based model for predicting the sheet-flow sediment transport under wave-current flows is presented. The whole one-dimensional-vertical (1DV) water column is separated into a pick-up layer and a suspension layer. The pick-up layer is resolved through an empirical way, while the suspension layer adopts Reynolds-averaged Navier-Stokes (RANS) equations coupled with a two-equation \( k - \omega \) turbulence closure for flow velocity, and a turbulent diffusion equation for sediment concentration. The instantaneous position of sand bed can be modeled as a linear function of Shields parameter, but as a first test of the model, we apply the measured erosion depth as input. The model also includes the hindered velocity effect due to particle-particle interaction, as well as the turbulence damping effect induced by density stratification. The model is firstly validated against the skewed-flow water-tunnel tests published in O’Donoghue and Wright (2004), which have measurements of velocity, concentration, sand flux and net transport rate. A good model-data agreement indicates that the model may be a promising tool to investigate the sheet-flow sediment transport in coastal environments.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Breugem, W.A., 2012. Transport of suspended particles in turbulent open channel flows, TU Delft, Delft University of Technology.
Chen, X., Niu, X. and Yu, X., 2013. Near-bed sediment condition in oscillatory sheet flows. Journal of Waterway, Port, Coastal, and Ocean Engineering, 139(5): 393-403.
Dohmen-Janssen, C.M., 1999. Grain size influence on sediment transport in oscillatory sheet flow; phase lags and mobile-bed effects.
Fuhrman, D.R., Schløer, S. and Sterner, J., 2013. Rans-based simulation of turbulent wave boundary layer and sheet-flow sediment transport processes. Coastal Engineering, 73: 151-166.
Herrmann, M.J. and Madsen, O.S., 2007. Effect of stratification due to suspended sand on velocity and concentration distribution in unidirectional flows. Journal of Geophysical Research: Oceans, 112(C2).
Jiménez, J.A. and Madsen, O.S., 2003. A simple formula to estimate settling velocity of natural sediments. Journal of Waterway, Port, Coastal, and Ocean Engineering, 129(2): 70-78.
Kranenburg, W.M., Hsu, T.-J. and Ribberink, J.S., 2014. Two-phase modeling of sheet-flow beneath waves and its dependence on grain size and streaming. Advances in Water Resources, 72: 57-70.
Malarkey, J., Davies, A. and Li, Z., 2003. A simple model of unsteady sheet-flow sediment transport. Coastal Engineering, 48(3): 171-188.
O’Donoghue, T. and Wright, S., 2004. Concentrations in oscillatory sheet flow for well sorted and graded sands. Coastal Engineering, 50(3): 117-138.
Ribberink, J.S. and Al-Salem, A.A., 1995. Sheet flow and suspension of sand in oscillatory boundary layers. Coastal Engineering, 25(3): 205-225.
Ribberink, J.S., van der Werf, J.J., O’Donoghue, T. and Hassan, W.N.M., 2008. Sand motion induced by oscillatory flows: Sheet flow and vortex ripples. Journal of Turbulence, 9: N20.
Richardson, J.F. and Zaki, W.N., 1954. Sedimentation and fluidisation: Part i. Chemical Engineering Research and Design, 75: S82-S100.
Trowbridge, J.H. and Madsen, O.S., 1984. Turbulent wave boundary layers: 2. Second‐order theory and mass transport. Journal of Geophysical Research: Oceans, 89(C5): 7999-8007.
van der A, D.A. et al., 2013. Practical sand transport formula for non-breaking waves and currents. Coastal Engineering, 76: 26-42.
Wilcox, D.C., 2006. Turbulence modeling in cfd. 3rd edition. DCW Industries, Inc., La Canada, California.
Wilcox, D.C., 2008. Formulation of the k-w turbulence model revisited. AIAA Journal, 46(11): 2823-2838.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Weikai, T., Jing, Y. (2020). A Process-Based Sediment Transport Model for Sheet Flows with the Pickup Layer Resolved in an Empirical Way. In: Trung Viet, N., Xiping, D., Thanh Tung, T. (eds) APAC 2019. APAC 2019. Springer, Singapore. https://doi.org/10.1007/978-981-15-0291-0_54
Download citation
DOI: https://doi.org/10.1007/978-981-15-0291-0_54
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0290-3
Online ISBN: 978-981-15-0291-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)