Three-Dimensional Simulations of Offshore Oil Platform in Square and Diamond Arrangements

• Published in: Advances in mathematical physics 2021, Vol.2021, p.1-8
• Main Authors: Nouri, Saliha, Hafsia, Zouhair, Boulaaras, Salah Mahmoud, Allahem, Ali, Alkhalaf, Salem, Vazquez, Aldo Munoz
• Format: Article
• Language: English
• Subjects: Angle of attack; Circular cylinders; Diamonds; Exact solutions; Free surfaces; Numerical analysis; Offshore platforms; Partial differential equations; Shielding; Solitary waves; Three dimensional flow; Velocity; Viscosity; Water depth; Wave crest; Wave forces; Wave height; Wave propagation
• ISSN: 1687-9120; 1687-9139
• DOI: 10.1155/2021/5578391

The interaction of the solitary wave with an oil platform composed of four vertical circular cylinders is investigated for two attack angle of the solitary wave β=0° (square arrangement) and β=45° (diamond arrangement). The solitary wave is generated using an internal source line as proposed by Hafsia et al. (2009). This generation method is extended to three-dimensional wave flow and is integrated into the PHOENICS code. The volume of fluid approach is used to capture the free surface evolution. The present model is validated in the case of a solitary wave propagating on a flat bottom for H/h=0.25 where H is the wave height and h is the water depth. Compared to the analytical solution, the pseudowavelength and the wave crest are well reproduced. For a solitary wave interacting with square and diamond cylinders, the simulated results show that the maximum run-ups are well reproduced. For the diamond arrangements, the diffraction process seems to not affect the maximum run-ups, which approached the isolated cylinder. For the square arrangement, the shielding effect leads to a maximum wave force more pronounced for the upstream cylinder array.