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Driven Nonlinear Potential Flow With Wave Breaking at Shallow-Water Beaches

[+] Author Affiliations
Floriane Gidel, Onno Bokhove, Mark Kelmanson

University of Leeds, Leeds, UK

Paper No. OMAE2017-61974, pp. V001T01A053; 11 pages
doi:10.1115/OMAE2017-61974
From:
  • ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 1: Offshore Technology
  • Trondheim, Norway, June 25–30, 2017
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-5763-2
  • Copyright © 2017 by ASME

abstract

We introduce a new model of nonlinear dispersive waves generated by wavemakers in deep water, coupled to a shallow-water model with wave breaking, modelled as hydraulics bores, in the shore zone. Coupling of deep- and shallow-water models requires the formulation of an advanced space-time technology able to stably capture the free-surface dynamics. Our approach comprises the direct discretisation of the variational principle for the continuum modelling of potential-flow water-wave dynamics. Preservation of the variational structure in the discretisation ensures that important conservation properties of the original continuum system are inherited to a high degree by the discrete system. The nonlinear equations of motion resulting from the coupling of the potential-flow water-waves and the (breaking) shallow-water waves are solved in unison. By construction, this process results in a stable and robust numerical scheme that is well suited to demanding maritime applications.

Copyright © 2017 by ASME

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