Pezzutto, Paolo (2013) On Floating Breakwaters Efficiency - a 2DV Parametric Based Analysis. [Ph.D. thesis]
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In long term evolution numerical models, the interactions of a floating barrier with the wave field is then deputed to some parametrized transfer functions, which mimic wave energy transmission and dissipation in the frequency domain. This thesis provide, as final result, two transfer functions (one for incident waves, one for reflected ones) for a particular class of compact shaped floating breakwaters. These functions are based on three main parameters, which have been derived on physical model results. The first one (x) is the ratio between the incoming wave frequency and an approximation of FB heave natural frequency, based on principal FB cross section dimensions. Wave steepness has been considered to be the second variable which helps in describing the amount of dissipated energy. An FB draft to water depth ratio has been identified. Available algorithms for the decomposition into incident and reflected waves of flume records are mostly Stokes-FFT based. Therefore they suffer some limitations for relatively high wave steepness (Ch. 4). Since the latter is considered as a crucial parameter, a lot of effort has been drawn in solving some conundrums of actual methods. Two algorithms are proposed. The first one (Ch. 5), based on empirical mode decomposition, did not give satisfactory results. The second one (Ch. 6) is based on linear waves superposition, but, getting rid of linear dispersion relation, detects automatically each phase celerity. The proposed algorithm appears to be effective for relatively shallow water waves, for which the phase modulation approach is more consistent than Stokes formulations. A Stokes 2nd order algorithm has also been implemented. In Ch. 7 the experimental set up is presented. A second order analysis of transmission and reflection processes is also introduced.Results are given (and discussed) in Ch. 8. Linear transmission and reflection transfer functions are derived, based on experimental data fitting. These are finally validated with irregular wave test measurements.It is found that the transmission process mainly depends on frequency (x) and on FB relative draft. The last parameter does not enter the reflection process, which basically described by x and wave steepness. In particular, steeper waves loose more energy, and are less reflected. For transmitted waves only, a significant amount of energy transfer from primary to secondary harmonics is observed.
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Nei modelli numerici per applicazioni costiere, l'implementazione delle opere di difesa galleggianti è generalmente costruita a partire da semplici funzioni di transferimento. Queste distorcono, nelle spazio delle frequenze, il campo d'onda incidente in onde trasmesse a tergo dell'opera. Questa tesi propone due funzioni di trasferimento per una particolare classe di frangiflutti galleggianti (di seguito FB): una per il campo trasmesso, l'altra per quello incidente.
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