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Bragg Resonance of Gravity Waves and Ocean Renewable Energy

  • Chapter
Integrated Systems: Innovations and Applications

Abstract

Here we study Bragg resonance of surface and interfacial waves. Specifically, we show one triad resonance between two surface waves and one seabed component in a homogeneous fluid, and another triad between a surface wave, an interfacial wave and a bottom component in a two-layer density stratified fluid. Via the Bragg resonance between two surface waves in a homogeneous fluid we can transfer the energy of one wave to another wave with the same frequency that moves in a different direction. We use this type of Bragg resonance to design lenses and curved mirrors for gravity waves. These lenses and mirrors are merely small changes to the seabed topography (e.g. by placing obstacles) and hence are surface non-invasive. By a concave mirror or a convex lens of gravity waves, we can focus gravity waves at a specific location. This may be of interest to the ocean wave energy, as instead of putting a multitude of wave energy harvesting devices over a large area, one large wave energy absorber can be placed at the focal point. This will reduce the cost, increase the efficiency and is clearly more environmentally friendly. We also show that Bragg resonance of surface and interfacial waves can be used to transfer energy from surface waves to interfacial waves, and from interfacial waves to the surface waves. Therefore in a two-layer density stratified fluid a proper architecture of the topography can be used to create a buffer zone which is protected from surface waves. This idea, known as cloaking, can protect floating offshore wind towers from the momentum of oceanic waves.

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Authors and Affiliations

  1. University of California, Berkeley, CA, 94720, USA

    Ryan B. Elandt, Louis-Alexandre Couston, Ruth A. Lambert & Mohammad-Reza Alam

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  1. Ryan B. Elandt
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  2. Louis-Alexandre Couston
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  3. Ruth A. Lambert
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  4. Mohammad-Reza Alam
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Editors and Affiliations

  1. University of Siegen, Siegen, Germany

    Madjid Fathi

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Elandt, R.B., Couston, LA., Lambert, R.A., Alam, MR. (2015). Bragg Resonance of Gravity Waves and Ocean Renewable Energy. In: Fathi, M. (eds) Integrated Systems: Innovations and Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-15898-3_13

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  • DOI: https://doi.org/10.1007/978-3-319-15898-3_13

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15897-6

  • Online ISBN: 978-3-319-15898-3

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