Skip to content
Research Article Open access CC BY 4.0

A Simple Model of Sediment Transport in the Nearshore Zone

Evans F. Osaisai

Asian Research Journal of Mathematics · pp. 1–11 · Published 4 Jul 2017

10.9734/ARJOM/2017/34052

Abstract

In this paper we examine a simple model of sediment transport, induced by the breaking waves in the surf zone. Essentially the bottom is allowed to move in response to the divergence of a sediment flux, in turn determined by the breaking waves. The effect of this extra term on the previous solutions for set-up, longshore currents and rip currents is then determined. It is found that the solutions for the mean flow are now unsteady on a slow timescale determined by a certain sediment transport parameter. There is a change in beach slope in the rip currents controlled by the sediment transport. The system of equations now forms a three-by-three nonlinear hyperbolic system of equations. These we solve approximately, using a simple wave solution based on the simple wave speed corresponding to the small sediment transport parameter. However, this solution will always breakdown after a long time, so we show that by adding another term proportional to the beach slope into the expression for the sediment flux, we can obtain a steady-state solution.

Wave-current interactions setup set down surf zone shoaling zone longshore currents.

References (14)

  1. 1 Coastal Processes with Engineering Applications [DOI]
  2. 2 The applied dynamics of ocean surface waves [DOI]
  3. 3 Equilibrium Beach Profiles: Characteristics and Applications
  4. 4 Changes in the form of short gravity waves on long waves and tidal currents [DOI]
  5. 5 The changes in amplitude of short gravity waves on steady non-uniform currents [DOI]
  6. 6 Longshore currents generated by obliquely incident sea waves: 2 [DOI]
  7. 7 Surf beats: sea waves of 1 to 5 min. period [DOI]
  8. 8 Dynamics of a high-energy dissipative surf zone [DOI]
  9. 9 Field observations of surf beat: 1. Progressive edge waves [DOI]
  10. 10 Infragravity waves induced by short-wave groups [DOI]
  11. 11 A model for the generation of two‐dimensional surf beat [DOI]
  12. 12 Modelling the formation of shoreface-connected sand ridges on storm-dominated inner shelves [DOI]
  13. 13 Shoreface-connected ridges under the action of waves and currents [DOI]
  14. 14 Wave-current interactions in shallow waters and shore-connected ridges [DOI]

Cited by 0

No indexed citations yet.

Related research

Article metrics

Real usage data collected on this platform.

40

Page views

0

PDF downloads

2

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.