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Whole-wavelength description of a wave boundary layer over permeable wall

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Abstract

This paper describes the whole-wavelength, highly resolved velocity field statistics in an oscillatory boundary layer driven by gravity waves, evolving on both impermeable and permeable beds. Velocity data from PTV measurements are acquired in a small window and then extended to the whole wavelength by means of a new phase-locked slotting technique. This technique increases the robustness of statistics and resolution by improving the number of the data samples available for each spatial cell in the Eulerian representation of the oscillatory boundary layer. The into- and out-of-bed volume flux is evaluated and its effects on the velocity field are reported, together with its influence on vorticity evolution. The presence of coherent structures embedded in a shear-dominated scenario is emphasized. The Lagrangian flow features extracted by PTV are presented in the context of the generalized Lagrangian-mean theory. The Stokes drift vertical profile is estimated by comparing the Eulerian and Lagrangian velocities. A critical height-separating region where the volume flux due to ventilation has different effects on both orbital amplitudes and Stokes drift is found. This distance corresponds to the maximum height of the still-attached vorticity layer.

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References

  • Andrews D, McIntyre M (1978) An exact theory of waves on a Lagrangian mean flow. J Fluid Mech 89:609–646

    Article  MATH  MathSciNet  Google Scholar 

  • Ardhuin F, Jenkins A, Belibassakis K (2008a) Comments on the three-dimensional current and surface wave equations. J Phys Oceanogr 38:1340–1350

    Article  Google Scholar 

  • Ardhuin F, Rascle N, Belibassakis K (2008b) Explicit wave-averaged primitive equations using a generalized Lagrangian mean. Ocean Model 20(1):35–60

    Article  Google Scholar 

  • Austin M, Masselink G, O’Hare T, Russell P (2009) Onshore sediment transport on a sandy beach under varied wave conditions: flow velocity skewness, wave asymmetry or bed ventilation? Mar Geol 259:86–101

    Article  Google Scholar 

  • Bendat JS, Piersol AG (2010) Random data: analysis and measurement procedures, 4th edn. Wiley, New York

    Book  Google Scholar 

  • Bennet A (2006) Lagrangian fluid dynamics. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Blondeaux P, Brocchini M, Vittori G (2002) Sea waves and mass transport on a sloping beach. Proc R Soc Lond A 458:2053–2082

    Article  MATH  MathSciNet  Google Scholar 

  • Brunke M, Gonser T (1997) The ecological significance of exchange processes between rivers and groundwater. Fresh Water Biol 37(1):1–33

    Article  Google Scholar 

  • Contestabile P, Aristodemo A, Vicinanza D, Ciavola P (2012) Laboratory study on a beach drainage system. Coast Eng 66:50–64

    Article  Google Scholar 

  • Corvaro S, Mancinelli A, Brocchini M, Seta E (2010) On the wave damping due to a permeable seabed. Coast Eng 57:1029–1041

    Article  Google Scholar 

  • Corvaro S, Miozzi M, Postacchini M, Mancinelli A, Brocchini M (2014a) Fluid-particle interaction and generation of coherent structures over permeable beds: an experimental analysis. Adv Water Res 72:97–109. doi:10.1016/j.advwatres.2014.05.015

  • Corvaro S, Seta E, Mancinelli A, Brocchini M (2014b) Flow dynamics on a porous medium. Coast Eng 91:280–298. doi:10.1016/j.coastaleng.2014.06.001

  • Costamagna P, Vittori G, Blondeaux P (2003) Coherent structures in oscillatory boundary layers. J Fluid Mech 474:1–33

    MATH  MathSciNet  Google Scholar 

  • Dixen M, Hatipoglu F, Sumer B, Fredsøe J (2008) Wave boundary layer over a stone-covered bed. Coast Eng 55:1–20

    Article  Google Scholar 

  • Ehrnstrm M, Villari G (2008) Linear water waves with vorticity: rotational features and particle paths. J Differ Equ 244:1888–1909

    Article  Google Scholar 

  • Gu Z, Wang H (1991) Gravity waves over porous bottom. Coast Eng 15(5):497–524

    Article  Google Scholar 

  • Jones J, Mulholland P (2000) Streams and ground waters. Academic Press, New York

    Google Scholar 

  • Kadoch B, Castillo-Negrete del D, Bos W, Schmeider K (2011) Lagrangian statistic and flow topology in forced two-dimensional turbulence. Phys Rev E 83(3):036314

    Article  MathSciNet  Google Scholar 

  • Kikkert G, Pokrajac D, O’Donoghue T, Steenhauer K (2013) Experimental study of bore-driven swash hydrodynamics on permeable rough slopes. Coast Eng 79:42–56

    Article  Google Scholar 

  • Liu PF, Dalrymple R (1984) The damping of gravity waves due to percolation. Coast Eng 8:33–49

    Article  Google Scholar 

  • Liu X, Tanaka M, Okutomi M (2013) Single-image noise level estimation for blind denoising. IEEE Trans Image Process 22(12):5226–5237

    Article  Google Scholar 

  • Lucas B, Kanade T (1981) An iterative image registration technique with an application to stereo vision. In: Proceedings of the 7th international joint conference on artificial intelligence

  • Mattioli M, Alsina J, Mancinelli A, Miozzi M, Brocchini M (2012) Experimental investigation of the nearbed dynamics around a submarine pipeline laying on different types of seabed: the interaction between turbulent structures and particles. Adv Water Resour 48:31–46

    Article  Google Scholar 

  • Miozzi M (2004) Particle image velocimetry using feature tracking and Delaunay tessellation. In: Proceedings of the 12th international symposium on application laser techniques to fluid mechanics, Lisbon

  • Miozzi M, Jacob B, Olivieri A (2008) Performances of feature tracking in turbulent boundary layer investigation. Exp Fluids 45:765–780. doi:10.1007/s00348-008-0531-3

    Article  Google Scholar 

  • Monismith S, Cowen E, Nepf H, Magnaudet J, Thais L (2007) Laboratory observations of mean flows under surface gravity waves. J Fluid Mech 573:131–147

    Article  MATH  Google Scholar 

  • Nielsen P (1992) Coastal bottom boundary layers and sediment transport. World Scientific, Singapore

    Google Scholar 

  • Postacchini M, Brocchini M, Corvaro S, Lorenzoni C, Mancinelli A (2011) Comparative analysis of sea wave dissipation induced by three flow mechanisms. J Hydraul Res 49(4):554–561

    Article  Google Scholar 

  • Saric W (1994) Görtler vortices. Annu Rev Fluid Mech 26:379–409

  • Sawaragi T, Deguchi I (1992) Waves on permeable layers. In: Proceedings of the 23rd coastal engineering conference. ASCE, Venice, pp 1531–1544

  • Sleath J (1987) Turbulent oscillatory flow over rough beds. J Fluid Mech 182:369–409

    Article  Google Scholar 

  • Stanislas M, Okamoto K, Kahler JC, Westerweel J, Scarano F (2008) Main results of the third international PIV challenge. Exp Fluids 45:27–71

    Article  Google Scholar 

  • Stokes G (1847) On the theory of oscillatory waves. Trans Camb Phil Soc 8:441–55

    Google Scholar 

  • Townsend AA (1976) The structure of turbulent shear flow, 2nd edn. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Wang PL, Maxey RM, Burton DT, Stock ED (1992) Chaotic dynamics of particle dispersion in fluids. Phys Fluids A 4:1798–1804

    Google Scholar 

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Acknowledgments

The present work was completed while M. Brocchini was Visiting Professor at the Laboratoire d’Hydraulique Environnementale, École Politechnique Fédérale de Lausanne. This work has been supported by the Flagship Project RITMARE, Italian Research for the Sea, coordinated by the Italian National Research Council and funded by the Italian Ministry of Education, University and Research. The authors would like to thank the anonymous reviewers whose comments helped improve the clarity of their presentation.

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Authors and Affiliations

  1. CNR - INSEAN, Via di Vallerano 139, 00128, Rome, Italy

    Massimo Miozzi

  2. Department of ICEA, Università Politecnica delle Marche, Via Brecce Bianche 12, 60131, Ancona, Italy

    Matteo Postacchini, Sara Corvaro & Maurizio Brocchini

  3. Laboratoire d’Hydraulique Environnementale, École Politechnique Fédérale de Lausanne, Station 18, 1015, Lausanne, Switzerland

    Maurizio Brocchini

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  1. Massimo Miozzi
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  2. Matteo Postacchini
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  3. Sara Corvaro
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  4. Maurizio Brocchini
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Correspondence to Massimo Miozzi.

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Miozzi, M., Postacchini, M., Corvaro, S. et al. Whole-wavelength description of a wave boundary layer over permeable wall. Exp Fluids 56, 127 (2015). https://doi.org/10.1007/s00348-015-1989-4

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  • DOI: https://doi.org/10.1007/s00348-015-1989-4

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