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Three-dimensional tidal sand waves

Published online by Cambridge University Press:  10 January 2009

PAOLO BLONDEAUX  and
GIOVANNA VITTORI
PAOLO BLONDEAUX*
Affiliation:
Department of Civil, Environmental and Architectural Engineering – University of Genoa, Via Montallegro 1, 16145 Genova, Italy
GIOVANNA VITTORI
Affiliation:
Department of Civil, Environmental and Architectural Engineering – University of Genoa, Via Montallegro 1, 16145 Genova, Italy
*
†Email address for correspondence: bix@dicat.unige.it
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Abstract

The process which leads to the formation of three-dimensional sand waves is investigated by means of a stability analysis which considers the time development of a small-amplitude bottom perturbation of a shallow tidal sea. The weakly nonlinear interaction of a triad of resonant harmonic components of the bottom perturbation is considered. The results show that the investigated resonance mechanism can trigger the formation of a three-dimensional bottom pattern similar to that observed in the field.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 618 , 10 January 2009 , pp. 1 - 11
Copyright
Copyright © Cambridge University Press 2008

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References

REFERENCES

Allen, J. R. L. 1984 Developments in sedimentology. Elsevier.Google Scholar
Belderson, R. H, Johnson, M. A. & Kenyon, N. H. 1982 Bedforms. In Offshore Tidal Sands (ed. Stride, A. H.). Chapman & Hall.Google Scholar
Besio, G., Blondeaux, P., & Frisina, P. 2003 A note on tidally generated sand waves. J. Fluid Mech. 485, 171–190.CrossRefGoogle Scholar
Besio, G., Blondeaux, P. & Vittori, G. 2006 On the formation of sand waves and sand banks. J. Fluid Mech. 557, 1–27.CrossRefGoogle Scholar
Blondeaux, P. & Vittori, G. 2005 Flow and sediment transport induced by tide propagation. Part 2: the wavy bottom case. J. Geophys. Res. 110 (C8), C08003Google Scholar
Craik, A. D. D. 1971 Nonlinear resonant instability in boundary layers. J. Fluid Mech. 50, 393–413.CrossRefGoogle Scholar
Craik, A. D. D. 1985 Wave Interactions and Fluid Flows. Cambridge University Press.Google Scholar
Gerkema, T. 2000 A linear stability analysis of tidally generated sand waves. J. Fluid Mech. 417, 303–322.CrossRefGoogle Scholar
Hulscher, S. J. M. H. 1996 Tidal-induced large-scale regular bed form patterns in a three-dimensional shallow water model. J. Geophys. Res. 101 (C9), 20727–20744.CrossRefGoogle Scholar
Knaapen, M. A. F. & Hulsher, S. J. M. H. 2002 Regeneration of sand waves after dredging. Coastal Engng 46 (4), 277–289.CrossRefGoogle Scholar
Knaapen, M. A. F., Hulsher, S. J. M. H., De Vriend, H. J. & Stolk, A. 2001 A new type of sea bved waves. Geophys. Res. Lett. 28, 1323–1326.CrossRefGoogle Scholar
Roos, P. 2004 Seabed pattern dynamics and offshore sand extraction. PhD thesis, University of Twente (NL).Google Scholar
Roos, P. & Blondeaux, P. 2001 Sand ripples under sea wavesPart 4. Tile ripple formation. J. Fluid Mech. 447, 227–246.CrossRefGoogle Scholar
Seminara, G. 1998 Stability and morphodynamics. Meccanica 33, 59–99.CrossRefGoogle Scholar
Sleath, J. F. A. 1984 Seabed Mechanics. John Wiley.Google Scholar
Soulsby, R. L. 1983 The bottom boundary layer of shelf seas. In Physical Oceanography of Coastal and Shelf Seas (ed. Johns, B.), pp. 189–266. Elsevier.CrossRefGoogle Scholar
Tambroni, N. & Blondeaux, P. 2008 Finite amplitude sand banks. J. Geophys. Res. (to appear)Google Scholar
Vittori, G. & Blondeaux, P. 1992 Sand ripples under sea waves. Part 3. Brick-pattern ripple formation. J. Fluid Mech. 239, 23–45.CrossRefGoogle Scholar
Vittori, G. & Blondeaux, P. 2008 Notes on three-dimensional sand wave formation. Department of Civil, Environmental and Architectural Engineering, University of Genova, Italy, Report 1/08.Google Scholar