Based on the law of mass conservation, a general three-dimensional diffusion equation of suspended sediment due to waves and currents, adaptable to estuarial and coastal areas, is derived by decomposing the instantaneous velocities and concentrations into three-different-time-scale components respectively. A three-dimensional suspended sediment diffusion equation adaptable to actual calculations is available as the result of the parameterizations of turbulent diffusion term and wave diffusion term. Different from the former diffusion equations, the influence of waves and currents on suspended sediment diffusion can be simultaneously reflected in the newly derived equation.
This is a preview of subscription content, log in to check access.
Bijker, K. W., Longshore transport computations,J. of the Waterways, Harb. and Coastal Eng. Div., ASCE, 1971, 97: 678.
Swart, D.H., Coastal sediment transport, Computation of Longshore Transport, Delft Hydaulics Lab, Report R968, 1976.
Dou Xibing, Luo Zhaosen, A two-dimensional suspended sediment mathematical model due to currents and waves,Hydraulic and Water Transport Science Research (in Chinese), 1992, 4: 331.
Dou Cuoren, Dong Fenwu, A sediment mathematical model due to currents and waves at Huanghua Harbor,The 7th Coastal Engineer Academy Forum (in Chinese), Beijing: Ocean Press, 1993, 500–506.
Dou Guoren, Dong Foenwu, Do Xipinget al., Sediment mathematical model research in estuarial and coastal areas,Science in China, Ser. A (in Chinese), 1995, 25(9): 995.
Ding Pingxing, He Songlin, Zhang Guoanet al., Predictable analysis of erode and deposit after coastal engineer in semi-closure harbor II mathematical calculate of erode and deposit,Acta Oceanologica Sinica (in Chinese), 1997, 19(1): 64.
Cao Zude, Wang Guifen, Numerical simulations of wave lifting sediment and tide transporting sediment,Acta Oceanologica Sinica (in Chinese), 1993, 15(1): 107.
Cao Zude, Wang Guifen, Three-dimensional numerical simulations of tide, wave and sediment,The 7th Coastal Engineer Academy Forum (in Chinese), Beijing: Ocean Press, 1993, 584–590.
Cao Zude, Wang Yunhong,Hydrodynamic and Sediment Numerical Simulation (in Chinese), Tianjin: Tianjin University Press, 1994.
O’Connor, B. A., Three-dimensional sediment-transport model,Coastal, Estuarial and Habour Engineer’ s Reference Book, 1994, 199–214.
De Vriend, H. J., Two-dimensional horizontal and weakly three-dimensional models of sediment transport due to waves and currents,Coastal, Estuarial and Harbour Engineer’ s Reference Book, 1994, 215–238.
Kolopodi, I., Ribberink, J. S., Quasi-3D modeling of suspended sediment transport by currents and waves,Coastal Eng., 1992, 18: 83.
Ding Pinxing, Shi Fenyan, Kong Yazhen, The research of sediment diffusion model due to currents and waves at tidal flat,The 8th Coastal Engineer Academy Forum (in Chinese), Beijing: Ocean Press, 1997, 754–761.
About this article
Cite this article
Ding, P., Shi, F. & Kong, Y. A three-dimensional diffusion equation of suspended sediment by waves and currents. Chin.Sci.Bull. 44, 1814–1817 (1999). https://doi.org/10.1007/BF02886167
- estuarial and coastal areas
- suspended diffusion equation