The interaction of waves with arrays of vertical circular cylinders 邊界元素法期末報告 The interaction of waves with arrays of vertical circular cylinders 指導教授: 陳正宗 特聘教授 報告人: 李應德 同學

Problem statement

Assumption z h 底床邊界條件: 自由水面條件:

Governing equation

Integral equation Integral equation for domain point Boundary integral equation Null-field integral equation

Expansion of boundary densities

Degenerate kernel s=(R, θ) x=(ρ,ψ) UE x=(ρ,ψ) UI

Drawback of degenerate kernel

Bi-center expansion s=(R, θ) θx x=(ρ,ψ) o2 d o1 where

Force calculating

Successful experience t=0 t=0 t=0 t=0 t=0 t=0 t=0

Testing case BC: u=0

結論 結果尚未成功 仍須加倍努力