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

Author:

Nouri Saliha1,Hafsia Zouhair1,Boulaaras Salah Mahmoud23ORCID,Allahem Ali4ORCID,Alkhalaf Salem5,Vazquez Aldo Munoz6

Affiliation:

1. Department of Physics, College of Science and Arts at ArRass, Qassim University, Saudi Arabia

2. Department of Mathematics, College of Science and Arts at ArRass, Qassim University, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

4. Department of Mathematics, College of Science, Qassim University, Saudi Arabia

5. Department of Computer Science, College of Science and Arts at ArRass, Qassim University, Saudi Arabia

6. College of Engineering, Texas A&M University, 6200 Tres Lagos Blvd, Higher Education Center at McAllen, Texas 78504, USA

Abstract

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.

Funder

Qassim University

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Reference23 articles.

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