Suspended sediment transport under seiches in circular and elliptical basins

David Pritchard, Andrew J. Hogg

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Enclosed bodies of water such as lakes or harbours often experience large-scale oscillatory motions (seiching). As a simple model of such flow, we investigate exact solutions to the shallow-water equations which represent oscillatory flow in an elliptical basin with parabolic cross section. Specifically, we consider two fundamental modes of oscillation, in one of which the flow is parallel to the axis of the ellipse, while in the other it is radial. We obtain periodic analytical solutions for sediment transport, including erosion, deposition and advection, under either mode of oscillation, and present a method for obtaining such solutions for a more general class of flow fields and sediment transport models. Our solutions provide estimates of the morphodynamical importance of seiching motions and also reveal a characteristic pattern of net erosion and deposition associated with each mode. In particular, we find that a net flux of suspended sediment can be transported from the deeper to the shallower regions of the basin. These transport patterns, which are driven essentially by settling lag, are highly robust to the formulation of the sediment transport relation and appear not to be substantially affected by
the omission of frictional terms in the hydrodynamics: they should thus provide considerable insight into sediment transport in less-idealised systems
LanguageEnglish
Pages43-70
Number of pages28
JournalCoastal Engineering
Volume49
Issue number1-2
DOIs
Publication statusPublished - 2003

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Suspended sediments
Sediment transport
Catchments
Erosion
Parallel flow
Advection
Ports and harbors
Lakes
Water
Flow fields
Hydrodynamics
Fluxes

Keywords

  • coastal engineering
  • elliptical basins
  • sediment transport
  • mathematical analysis

Cite this

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title = "Suspended sediment transport under seiches in circular and elliptical basins",
abstract = "Enclosed bodies of water such as lakes or harbours often experience large-scale oscillatory motions (seiching). As a simple model of such flow, we investigate exact solutions to the shallow-water equations which represent oscillatory flow in an elliptical basin with parabolic cross section. Specifically, we consider two fundamental modes of oscillation, in one of which the flow is parallel to the axis of the ellipse, while in the other it is radial. We obtain periodic analytical solutions for sediment transport, including erosion, deposition and advection, under either mode of oscillation, and present a method for obtaining such solutions for a more general class of flow fields and sediment transport models. Our solutions provide estimates of the morphodynamical importance of seiching motions and also reveal a characteristic pattern of net erosion and deposition associated with each mode. In particular, we find that a net flux of suspended sediment can be transported from the deeper to the shallower regions of the basin. These transport patterns, which are driven essentially by settling lag, are highly robust to the formulation of the sediment transport relation and appear not to be substantially affected bythe omission of frictional terms in the hydrodynamics: they should thus provide considerable insight into sediment transport in less-idealised systems",
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Suspended sediment transport under seiches in circular and elliptical basins. / Pritchard, David; Hogg, Andrew J.

In: Coastal Engineering, Vol. 49, No. 1-2, 2003, p. 43-70.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Suspended sediment transport under seiches in circular and elliptical basins

AU - Pritchard, David

AU - Hogg, Andrew J.

PY - 2003

Y1 - 2003

N2 - Enclosed bodies of water such as lakes or harbours often experience large-scale oscillatory motions (seiching). As a simple model of such flow, we investigate exact solutions to the shallow-water equations which represent oscillatory flow in an elliptical basin with parabolic cross section. Specifically, we consider two fundamental modes of oscillation, in one of which the flow is parallel to the axis of the ellipse, while in the other it is radial. We obtain periodic analytical solutions for sediment transport, including erosion, deposition and advection, under either mode of oscillation, and present a method for obtaining such solutions for a more general class of flow fields and sediment transport models. Our solutions provide estimates of the morphodynamical importance of seiching motions and also reveal a characteristic pattern of net erosion and deposition associated with each mode. In particular, we find that a net flux of suspended sediment can be transported from the deeper to the shallower regions of the basin. These transport patterns, which are driven essentially by settling lag, are highly robust to the formulation of the sediment transport relation and appear not to be substantially affected bythe omission of frictional terms in the hydrodynamics: they should thus provide considerable insight into sediment transport in less-idealised systems

AB - Enclosed bodies of water such as lakes or harbours often experience large-scale oscillatory motions (seiching). As a simple model of such flow, we investigate exact solutions to the shallow-water equations which represent oscillatory flow in an elliptical basin with parabolic cross section. Specifically, we consider two fundamental modes of oscillation, in one of which the flow is parallel to the axis of the ellipse, while in the other it is radial. We obtain periodic analytical solutions for sediment transport, including erosion, deposition and advection, under either mode of oscillation, and present a method for obtaining such solutions for a more general class of flow fields and sediment transport models. Our solutions provide estimates of the morphodynamical importance of seiching motions and also reveal a characteristic pattern of net erosion and deposition associated with each mode. In particular, we find that a net flux of suspended sediment can be transported from the deeper to the shallower regions of the basin. These transport patterns, which are driven essentially by settling lag, are highly robust to the formulation of the sediment transport relation and appear not to be substantially affected bythe omission of frictional terms in the hydrodynamics: they should thus provide considerable insight into sediment transport in less-idealised systems

KW - coastal engineering

KW - elliptical basins

KW - sediment transport

KW - mathematical analysis

U2 - 10.1016/S0378-3839(03)00046-2

DO - 10.1016/S0378-3839(03)00046-2

M3 - Article

VL - 49

SP - 43

EP - 70

JO - Coastal Engineering

T2 - Coastal Engineering

JF - Coastal Engineering

SN - 0378-3839

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