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Applying Finite Difference Method to Simulate the Performance of a Perforated Breakwater Under Regular Waves

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Abstract

Using a discretized finite difference method, a numerical model was developed to study the interaction of regular waves with a perforated breakwater. Considering a non-viscous, non-rotational fluid, the governing equations of Laplacian velocity potential were developed, and specific conditions for every single boundary were defined. The final developed model was evaluated based on an existing experimental result. The evaluated model was used to simulate the condition for various wave periods from 0.6 to 2 s. The reflection coefficient and transmission coefficient of waves were examined with different breakwater porosities, wave steepnesses, and angular frequencies. The results show that the developed model can suitably present the effect of the structural and hydraulic parameters on the reflection and transmission coefficients. It was also found that with the increase in wave steepness, the reflection coefficient increased logarithmically, while the transmission coefficient decreased logarithmically.

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Correspondence to Maryam Rahbani.

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Article Highlights

• Discretized finite difference method used to develop governing equations for simulating transmission and reflection coefficients of perforated breakwater in interaction with regular waves.

• Results of simulations showed that in a perforated breakwater, increase in the porosity results in logarithmic increase and decrease in transmission and reflection coefficient, respectively.

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Mohammadbagheri, J., Salimi, F. & Rahbani, M. Applying Finite Difference Method to Simulate the Performance of a Perforated Breakwater Under Regular Waves. J. Marine. Sci. Appl. 18, 314–324 (2019). https://doi.org/10.1007/s11804-019-00095-5

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  • DOI: https://doi.org/10.1007/s11804-019-00095-5

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