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Three-dimensional wave breaking

Author

Listed:
  • M. L. McAllister

    (University of Oxford)

  • S. Draycott

    (University of Manchester)

  • R. Calvert

    (University of Edinburgh)

  • T. Davey

    (University of Edinburgh)

  • F. Dias

    (University College Dublin
    CNRS, ENS Paris-Saclay, Centre Borelli)

  • T. S. Bremer

    (University of Oxford
    Delft University of Technology)

Abstract

Although a ubiquitous natural phenomenon, the onset and subsequent process of surface wave breaking are not fully understood. Breaking affects how steep waves become and drives air–sea exchanges1. Most seminal and state-of-the-art research on breaking is underpinned by the assumption of two-dimensionality, although ocean waves are three dimensional. We present experimental results that assess how three-dimensionality affects breaking, without putting limits on the direction of travel of the waves. We show that the breaking-onset steepness of the most directionally spread case is double that of its unidirectional counterpart. We identify three breaking regimes. As directional spreading increases, horizontally overturning ‘travelling-wave breaking’ (I), which forms the basis of two-dimensional breaking, is replaced by vertically jetting ‘standing-wave breaking’ (II). In between, ‘travelling-standing-wave breaking’ (III) is characterized by the formation of vertical jets along a fast-moving crest. The mechanisms in each regime determine how breaking limits steepness and affects subsequent air–sea exchanges. Unlike in two dimensions, three-dimensional wave-breaking onset does not limit how steep waves may become, and we produce directionally spread waves 80% steeper than at breaking onset and four times steeper than equivalent two-dimensional waves at their breaking onset. Our observations challenge the validity of state-of-the-art methods used to calculate energy dissipation and to design offshore structures in highly directionally spread seas.

Suggested Citation

  • M. L. McAllister & S. Draycott & R. Calvert & T. Davey & F. Dias & T. S. Bremer, 2024. "Three-dimensional wave breaking," Nature, Nature, vol. 633(8030), pages 601-607, September.
  • Handle: RePEc:nat:nature:v:633:y:2024:i:8030:d:10.1038_s41586-024-07886-z
    DOI: 10.1038/s41586-024-07886-z
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