Cyclic bar behaviour in a nonlinear model of a tidal inlet

H. M. Schuttelaars; H. E. De Swart

Cyclic bar behaviour in a nonlinear model of a tidal inlet

H. M. Schuttelaars^*
, H. E. De Swart

^*Corresponding author for this work

Research output: Contribution to conference › Paper › Academic

Abstract

Results are presented of a model which simulates the behaviour of depth-averaged tidal currents, transport of suspended sediment and bottom changes in an embayment. The basic state of this model, a spatially uniform tide over a bottom with constant slopes, turns out to be unstable with respect to bottom perturbations if the width-to-depth ratio and bottom friction are sufficiently large. The long-term dynamics of the bed forms is investigated with a set of coupled nonlinear amplitude equations. It appears that the model can have multiple equilibria and finite-amplitude periodic solutions. The latter have characteristics similar to observed migrating bed forms in tidal inlets.

Original language	English
Pages	28-33
Number of pages	6
Publication status	Published - 1997
Event	Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part C - San Francisco, CA, USA Duration: 10 Aug 1997 → 15 Aug 1997

Conference

Conference	Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part C
City	San Francisco, CA, USA
Period	10/08/97 → 15/08/97

Cite this

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title = "Cyclic bar behaviour in a nonlinear model of a tidal inlet",

abstract = "Results are presented of a model which simulates the behaviour of depth-averaged tidal currents, transport of suspended sediment and bottom changes in an embayment. The basic state of this model, a spatially uniform tide over a bottom with constant slopes, turns out to be unstable with respect to bottom perturbations if the width-to-depth ratio and bottom friction are sufficiently large. The long-term dynamics of the bed forms is investigated with a set of coupled nonlinear amplitude equations. It appears that the model can have multiple equilibria and finite-amplitude periodic solutions. The latter have characteristics similar to observed migrating bed forms in tidal inlets.",

author = "Schuttelaars, \{H. M.\} and \{De Swart\}, \{H. E.\}",

year = "1997",

language = "English",

pages = "28--33",

note = "Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part C ; Conference date: 10-08-1997 Through 15-08-1997",

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TY - CONF

T1 - Cyclic bar behaviour in a nonlinear model of a tidal inlet

AU - Schuttelaars, H. M.

AU - De Swart, H. E.

PY - 1997

Y1 - 1997

N2 - Results are presented of a model which simulates the behaviour of depth-averaged tidal currents, transport of suspended sediment and bottom changes in an embayment. The basic state of this model, a spatially uniform tide over a bottom with constant slopes, turns out to be unstable with respect to bottom perturbations if the width-to-depth ratio and bottom friction are sufficiently large. The long-term dynamics of the bed forms is investigated with a set of coupled nonlinear amplitude equations. It appears that the model can have multiple equilibria and finite-amplitude periodic solutions. The latter have characteristics similar to observed migrating bed forms in tidal inlets.

AB - Results are presented of a model which simulates the behaviour of depth-averaged tidal currents, transport of suspended sediment and bottom changes in an embayment. The basic state of this model, a spatially uniform tide over a bottom with constant slopes, turns out to be unstable with respect to bottom perturbations if the width-to-depth ratio and bottom friction are sufficiently large. The long-term dynamics of the bed forms is investigated with a set of coupled nonlinear amplitude equations. It appears that the model can have multiple equilibria and finite-amplitude periodic solutions. The latter have characteristics similar to observed migrating bed forms in tidal inlets.

UR - https://www.scopus.com/pages/publications/0030686205

M3 - Paper

AN - SCOPUS:0030686205

SP - 28

EP - 33

T2 - Proceedings of the 1997 27th Congress of the International Association of Hydraulic Research, IAHR. Part C

Y2 - 10 August 1997 through 15 August 1997

ER -

Cyclic bar behaviour in a nonlinear model of a tidal inlet

Abstract

Conference

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