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Hydrodynamic Equilibrium for Sediment Transport and Bed Response to Wave Motion

Kaczmarek L. M., Sawczyński Sz., Biegowski J.

Acta Geophysica

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2015

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Vol. 63, no. 2

486--513

EN

An experimental and theoretical identification of hydrodynamic equilibrium for sediment transport and bed response to wave motion are considered. The comparison between calculations and the results of laboratory experiments indicates the linear relation between sediment transport rate and the thickness zm of bed layer in which sediments are in apparent rectilinear motion. This linear relationship allows to use the first order “upwind” numerical scheme of FDM ensuring an accurate solution of equation for changes in bed morphology. However, it is necessary to carry out a decomposition of the sediment transport into transport in onshore direction during wave crest and offshore direction during wave trough. Further, the shape of bed erosion in response to sediment transport coincides with the trapezoid envelope or with part of it, when some sediments still remain within it. Bed erosion area is equal to the one of a rectangle with thickness zm.

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Modeling bathymetry changes in the coastal zone - state of knowledge analysis

Sawczyński S., Kaczmarek L. M.

Technical Sciences / University of Warmia and Mazury in Olsztyn

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2014

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nr 17(3)

219--233

EN

In this paper we briefly review the mathematical models used to describe the bathymetry changes in time and space. Overview of the models was carried out with particular emphasis on the problems encountered during the nonlinear equation solution, commonly used to describe the morphology of the bottom in the coastal zone of the sea. In contrast to the commonly used approach, it is proposed a linear relationship between volumetric flow of sediments transport rate and thickness of the layer of sediment grains, closely adjacent to each other and staying in motion. This linear relationship allows to precisely define the initial - boundary conditions and to apply the numerical scheme of finite difference method of „upwind” at the accuracy of the first order, not distorted by numerical errors. The author’s method also allows to implement changes to the description of the bathymetry of simultaneous changes in the distributions of the sediment grain size.

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Modelling bathymetry changes within a waterway versus a laboratory experiment

Sawczyński S., Kaczmarek L. M., Biegowski J.

Technical Sciences / University of Warmia and Mazury in Olsztyn

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2013

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nr 16(1)

41--62

EN

A three-layer theoretical model for transport of graded sediments was used in our analysis of the silting-up of waterways tested under laboratory conditions. The experiment was conducted in a laboratory basin, in which waves and a current were generated. The current interacted with the waves propagating perpendicularly to the direction in which it was flowing. It was assumed in the calculations that the sediment was entrained from the bed and suspended due to the impact of waves on the bed, after which it was transported by the current along the cross-shore profile of the navigation channel. Thus, it was assumed that the bathymetry changes occur only as a result of changes in the suspended load transport rate. The bed topographic modifications modelling results are in good agreement to the laboratory experimental results, including the rate of silting up the waterway and the bed reconfiguration. The key factor in the calculations concerning the waterway bed reconfiguration proved to be the inclusion of the effect of sediment size sorting on predicting the rate and character of bathymetry changes.