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Characteristics of the boundary layer at the bottom of a solitary wave

✍ Scribed by Giovanna Vittori; Paolo Blondeaux


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
966 KB
Volume
58
Category
Article
ISSN
0378-3839

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✦ Synopsis


The results of direct numerical simulations of the boundary layer generated at the bottom of a solitary wave are described. The numerical results, which agree with the laboratory measurements of Sumer et al. (2010) show that the flow regime in the boundary layer can be laminar, laminar with coherent vortices and turbulent. The average velocity and bottom shear stress are computed and the results obtained show that the logarithmic law can approximate the velocity profile only in a restricted range of the parameters and at particular phases of the wave cycle. Moreover, the maximum value of the bottom shear stress is found to depend on the dimensionless wave height only, while the minimum (negative) value depends also on the dimensionless boundary layer thickness. Diagrams and simple formulae are proposed to evaluate the minimum and maximum bottom shear stresses and their phase shift with respect to the wave crest.


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## Abstract A model of the wave and current boundary‐layer structure was developed using the __k__–Ρ turbulent closure model. The finite‐difference method was used to solve the governing equations. Vertical logarithmic grids and equal time steps were adopted. The following modelled simulations were