Abstract
This study investigates the three-dimensional (3-D) solitary wave interaction with two cylinders in tandem and side-by-side arrangements for two wave heights. The solitary wave generation and propagation are predicted using the volume of fluid method (VOF) coupled with the NavierStokes transport equations. The PHOENICS code is used to solve these transport equations. The solitary wave generation based on the source line developed by Hafsia et al. (2009) is extended in three-dimensional wave flow and is firstly validated for solitary waves propagating on a flat bottom. The comparison between numerical results and analytical solution for small wave height H / h = 0.1 and 0.2 shows good agreements. The wave crest and the pseudo-wavelength are well reproduced. Excellent agreements were found in terms of maximum run-up and wave forces by comparison with the present model and analytical studies. The present model can be tested for the extreme solitary wave to extend its application to a more realistic case study as the solitary wave diffraction with an offshore oil platform.
Highlights
To ensure the safety of the offshore oil or airport platform, it is necessary to determine the interaction of the nonlinear waves with single or multiple cylinders structures. e main tasks of the wave structure interaction (WSI) problems are the prediction of the wave run-up, forces, breaking, and flow separation. e wave diffraction near multiple cylinders depended on the interference flow fields following the gap distance between the cylinders
E development of a numerical wave tank (NWT) and its implementation on a computational fluid dynamics (CFD) code constitutes an alternative to the experiments (Cao and Wan [1], Windt et al [2], and Ji et al [3]). e NWT includes those based on full NavierStokes equations or the depthaverage Boussinesq equations the simplified irrotational flow. e diffraction of monochromatic short-crested waves on a single vertical cylinder is studied by Zhu [4]
Wave Diffraction by a Single Circular Cylinder. e proposed wave generation method based on an internal source line is validated for two solitary waves having the nondimensional heights H/h 0.1 and 0.2. e simulated results show that, before reaching the vertical cylinder, the wave profile is invariant in the transverse direction and can be represented by two-dimensional profiles in the center of the computational domain
Summary
To ensure the safety of the offshore oil or airport platform, it is necessary to determine the interaction of the nonlinear waves with single or multiple cylinders structures. e main tasks of the wave structure interaction (WSI) problems are the prediction of the wave run-up, forces, breaking, and flow separation. e wave diffraction near multiple cylinders depended on the interference flow fields following the gap distance between the cylinders.Different approaches are used to solve the WSI including experimental, analytical, or numerical methods. e interaction of a solitary wave (representing a real tsunami wave) with a single circular cylinder was studied experimentally by Yates and Wang [17] for weak and strong nonlinear waves.e development of a numerical wave tank (NWT) and its implementation on a computational fluid dynamics (CFD) code constitutes an alternative to the experiments (Cao and Wan [1], Windt et al [2], and Ji et al [3]). e NWT includes those based on full NavierStokes equations or the depthaverage Boussinesq equations the simplified irrotational flow. e diffraction of monochromatic short-crested waves on a single vertical cylinder is studied by Zhu [4]. Based on the Boussinesq model for wave generation and propagation, Zhao et al [6] investigate numerically the solitary wave run-up around one, two, and four circular cylinders. Mathematical Problems in Engineering wave over two side-by-side or tandem arrangement is studied numerically by Wang and Ren [7] using a generalized Boussinesq model.
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