Numerical Study on Regular Wave Shoaling, De-Shoaling and Decomposition of Free/Bound Waves on Gentle and Steep Foreshores

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Abstract

Numerical tests are performed to investigate wave transformations of nonlinear nonbreaking regular waves with normal incidence to the shore in decreasing and increasing water depth. The wave height transformation (shoaling) of nonlinear waves can, just as for linear waves, be described by conservation of the mechanical energy flux. The numerical tests show that the mechanical energy flux for nonlinear waves on sloping foreshores is well described by stream function wave theory for horizontal foreshore. Thus, this theory can be used to estimate the shoaled wave height. Furthermore, the amplitude and the celerity of the wave components of nonlinear waves on mildly sloping foreshores can also be predicted with the stream function wave theory. The tests also show that waves propagating to deeper water (de-shoaling) on a very gentle foreshore with a slope of cot(β) = 1200 can be described in the same way as shoaling waves. For de-shoaling on steeper foreshores, free waves are released leading to waves that are not of constant form and thus cannot be modelled by the proposed approach.
OriginalsprogEngelsk
Artikelnummer334
TidsskriftJournal of Marine Science and Engineering
Vol/bind8
Udgave nummer5
ISSN2077-1312
DOI
StatusUdgivet - 2020
BegivenhedFuture Paths and Needs in Wave Modelling Workshop - Trondheim, Norge
Varighed: 21 okt. 201922 okt. 2019

Workshop

WorkshopFuture Paths and Needs in Wave Modelling Workshop
Land/OmrådeNorge
ByTrondheim
Periode21/10/201922/10/2019

Emneord

  • Shoaling
  • De-shoaling
  • Free waves
  • Bound waves
  • Wave components
  • Wave decomposition
  • Nonlinear regular waves
  • Foreshore slope

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