Abstract
A mathematical model for the problem of wave diffraction by a floating fixed truncated vertical cylinder is formulated based on Boussinesq equations (BEs). Using Bessel functions in the velocity potentials, the mathematical problem is solved for second-order wave amplitudes by applying a perturbation technique and matching conditions. On the other hand, computational fluid dynamics (CFD) simulation results of normalized free surface elevations and wave heights are compared against experimental fluid data (EFD) and numerical data available in the literature. In order to check the fidelity and accuracy of the Boussinesq model (BM), the results of the second-order super-harmonic wave amplitude around the vertical cylinder are compared with CFD results. The comparison shows a good level of agreement between Boussinesq, CFD, EFD, and numerical data. In addition, wave forces and moments acting on the cylinder and the pressure distribution around the vertical cylinder are analyzed from CFD simulations. Based on analytical solutions, the effects of radius, wave number, water depth, and depth parameters at specific elevations on the second-order sub-harmonic wave amplitudes are analyzed.
Highlights
Over the years, there has been considerable progress in the development of various design techniques for the study of floating structures for various purposes in different water depths, such as floating platforms, wave energy devices, and breakwaters
Unlike the computational fluid dynamics (CFD) simulations, the Boussinesq model (BM) is based on the frequency domain and the numerical model requires some time for the forcing wave to be applied and to stabilize behind the cylinder
Unlike the CFD simulations, the BM is based on the frequency domain and the numerical model requires some time for the forcing wave to be applied and to FFigiguurree 1155
Summary
There has been considerable progress in the development of various design techniques for the study of floating structures for various purposes in different water depths, such as floating platforms, wave energy devices, and breakwaters. The study of wave–structure interaction and wave-induced forces associated with a non-linear effect on floating structures based on analytical models using Boussinesq equations (BEs) is of great interest due to the model’s wide applicability in the field of ocean and coastal engineering. Several comparative studies based on various methodologies, such as analytical Boussinesq, numerical CFD models, other numerical data, and experimental studies associated with wave interaction with floating structures, have been performed [2,7,8,13,23,24] to analyze the fidelity level of accuracy among them for benchmarking. 4 of 27 4 of 28 loccaattiioonnss iiss perffoorrmmeedd bbeettwweeeenn BBMM aanndd CFDD simullaattiioonn rressuullttss too ascerttaaiinn theeiirr accuurraaccyy aanndd to annaallyyzzee tthhee ffiiddeelliittyy lleevveell ooff tthhee ddeevveellooppeeddBBMM..IInnaaddddiittiioonn,,tthheeeeffffeeccttssoofftthheerraaddiiuussoofftthheeccyylliinnddeerr,, wave nuummbbeerr,,wwaateterrddeeppthth, ,anandddedpetphthpaprarmametertserosnosnubsu-hba-rhmaromniocnsieccsoencdo-nodrd-oerdweravweaavmepalmitupdlietuadt ea astpaecsipfiecclioficcaltoiocnataiornouanrodutnhde cthyelincydleinr disearnisalaynzaeldy.zeFdin. aFlilnya, lsliyg,nsiifigcnainfitcacnont cclounscilounssioanres adrreawdrnawfrnomfrothme tchoemcpoamraptaivraetisvtuedsytuadnydafnudtufruetuscroepsecoopfethoef tphreespernetsmenotdmelo.del
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