Wave force analysis of the two vertical cylinders by boundary element method

Abstract

The diffraction of waves by two bottom-fixed vertical circular cylinders is investigated by using boundary element method. This method has been successfully applied to the isolated vertical circular cylinder and now is used to study the interaction between waves and two vertical cylinders. In this paper, a numerical analysis by boundary element method is developed by using linear potential theory. The numerical analysis by boundary element method is based on Green's theorem and introduced to an integral equation for the fluid velocity potential around the vertical circular cylinders. To verify this method, the wave-exciting forces on two transverse and tandem cylinders obtained in this study are compared with the results computed by the multiple scattering method. The comparisons show that the results of this study are strong agreement with their results. Also in this paper, several numerical examples are given to illustrate the effects of various parameters on the wave-exciting force such as the separation distance, the relative size of the cylinders and the incident wave angle. This numerical analysis developed by boundary element method will be applied for various offshore structures to be constructed in the future.

Seismic analysis and test facilities of deep‐water bridges considering water–structure interaction: A state‐of‐the‐art review

“…Lu and Jeng 92 developed a coupled model with BEM to investigate the wave force on offshore piles diffracted by the pseudo‐Stoneley wave, where the pile‐seabed‐seawater interaction was integrated. Nam and Tan 93 investigated the wave force of two bottom‐fixed circular cylinders with BEM.…”

“…To obtain the analytic solution of scattering wave velocity potential of structures of arbitrary cross-section, numerical simulation is a practical way. At present, the three-dimensional source distribution method, [86][87][88] finite element method (FEM), 58,89,90 and boundary element method (BEM) [91][92][93] are the three typical numerical methods. Wang et al 90 proposed a useful finite element model for a uniform vertical cylinder of arbitrary cross-sections to calculate wave forces.…”

The Boundary Element Analysis of Wave Force acting on Multiple Cylinders

“…The formulation and discretization by boundary element method were mentioned in detail (Kim and Cao, 2008a;2008b). isolate cylinder.…”

“…Notably, based on the boundary element method, wave force, run-up and free-surface elevation around a single circular vertical cylinder and various arrays of two to three of vertical circular cylinders were analyzed numerically by authors (Kim et al, 2007;Kim and Cao, 2008a;2008b).…”