Interaction of Water Waves With Vertical Cylinders Using the Dual Boundary Element Method

Abstract

The scattering of water waves by bottom-mounted vertical circular cylinders is solved by using the dual boundary element method. Both the nonuniqueness problems due to near-trapped mode and fictitious frequency are examined. The critical wave number for the near-trapped mode is numerically detected. It is found that near-trapped mode is a physical phenomenon and fictitious frequency stems from the numerical instability. The numerical oscillation near the fictitious frequency is observed by using BEM. The Burton and Miller approach is employed to deal with the problem of irregular frequencies. A numerical example of water wave-structure interaction by vertical circular cylinders was demonstrated to see the validity of the present formulation.