Wave force on double cylindrical piles: a comparison between exact and finite difference solutions

Abstract

The wave force exerted on vertical piles of offshore structures is the main criterion in designing them. In structures with more than one large pile, the influence of piles on each other is one of the most important issues being concerned in past researches. An efficient method for determining the interaction of piles is introduced in present research. First the wave force is calculated by the exact method using the diffraction theory, then in the finite difference numerical method the force is calculated by adding the velocity potentials of each pile and integration of pressure on their surface. The results showed that the ratio of the wave force on each of the double piles to a single pile has a damped oscillation around unity in which the amplitude of oscillation decreases with the increase in the spacing parameter. Also different wave incident directions and diffraction parameters were used and the results showed that the numerical solution has acceptable accuracy when the diffraction parameter is larger than unity.

An Analytical Solution for the Interaction of Waves with Arrays of Circular Cylinders

“…A few numerical schemes also have been proposed to investigate the wave-structure interaction. Ali et al developed a finite difference numerical method to estimate wave forces on double vertical cylinders [17]. Wang et al presented finite element solutions to compute the wave forces on arrays of vertical circular cylinders and circular inclined cylinders [18,19].…”