Mathematical Modeling of Sediment Transport in Coastal Areas

A special issue of Water (ISSN 2073-4441). This special issue belongs to the section "Water Erosion and Sediment Transport".

Deadline for manuscript submissions: closed (28 February 2022) | Viewed by 2707

Special Issue Editor

CNRS - LAMA UMR 5127, University Savoie Mont Blanc, University Grenoble Alpes, 73376 Le Bourget-du-Lac, France
Interests: applied mathematics; fluid dynamics; free surface flows; scientific computing; computational mathematics

Special Issue Information

Dear Colleagues,

Waves, currents, and sediments interact in coastal zones where large rivers/estuaries and coast confluence. Such interaction shifts the wave phase/amplitude and leads to changes in current profiles, which influence the sediment dynamics including the sediment transport, and its vertical distributions (density variations).

Investigation of the mechanisms governing the interactions between waves, currents, and sediments is necessary for engineers to design the ports and protect the shores, for the scientists to provide an insight into the unknown coastal processes, and for managers and environmental activists to manage the coast and protect the shorelines. Mathematical models as strong tools to study the coastal phenomenon must be developed to reveal the unknown physical aspects of the coastal processes and sediment dynamics.

The underwater avalanches and other turbidity currents contribute greatly to the sediment transport from coastal areas to deeper regions [1,2]. Henceforth, their investigation is of particular interest to understand global sediment transport in aquatic systems.

In this Special Issue, we invite scientists working on different aspects of sediment transport, in muddy, sandy or mixed environments with a focus on mathematical (numerical/analytical) models, to share their most recent results/findings/approaches, and give reviews or examples encompassing different aspects of wave–current–sediment interactions and sediment dynamics in coastal zones. Papers may deal with wave, current, and sediment analysis, numerical modeling or analytical solutions and should be supported by experimental/field studies.

References

[1] Liapidevskii, V.; Dutykh, D.; Gisclon, M. On the modelling of shallow turbidity flows. Adv. Water Resour. 2018, 113, 310–327.
[2] Liapidevskii, V.; Dutykh, D. On the velocity of turbidity currents over moderate slopes. Fluid Dyn. Res. 2019, 51, 035501.

Dr. Denys Dutykh
Guest Editor

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Keywords

  • Water waves
  • Currents
  • Sediment
  • Underwater avalanches
  • Numerical modeling
  • Analytical solutions

Published Papers (1 paper)

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Research

28 pages, 7739 KiB  
Article
An Analytical Study on Wave-Current-Mud Interaction
by S. Hadi Shamsnia and Denys Dutykh
Water 2020, 12(10), 2899; https://0-doi-org.brum.beds.ac.uk/10.3390/w12102899 - 17 Oct 2020
Cited by 3 | Viewed by 2012
Abstract
This study aims at providing analytical investigations to the first and second-order on the wave–current–mud interaction problem by applying a perturbation method. Direct formulations of the wave–current–mud interaction could not be found in the literature. Explicit formulations for the particle velocity, dissipation rates, [...] Read more.
This study aims at providing analytical investigations to the first and second-order on the wave–current–mud interaction problem by applying a perturbation method. Direct formulations of the wave–current–mud interaction could not be found in the literature. Explicit formulations for the particle velocity, dissipation rates, and phase shift in the first order and the mass transport in the second-order have been obtained. The findings of the current study confirmed that by an increase in the current velocity (e.g., moving from negative to positive values of current velocity), the dissipation rates and mud (instantaneous and mean) velocity decrease. The proposed assumption of a thin mud layer (boundary layer assumption) matches with the laboratory data in the mud viscosity of the orders of (0.01 N/m2) in both wave dissipation and mud mass transport leading to small ranges of discrepancies. The results from the newly proposed model were compared with the measurements and the results of an existing model in the literature. The proposed model showed better agreements in simulating the mud (instantaneous and mean) velocity compared to the existing one. Full article
(This article belongs to the Special Issue Mathematical Modeling of Sediment Transport in Coastal Areas)
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