双向分布水翼周围有势流动时的耗散自由表面解

Dissipative Free-Surface Solver for the Potential Flow Around a Hydrofoil Distributed With Doublets

为浸没于自由表面下部的2维水翼,建立水翼周围作耗散有势流动时的二次积分方程.假设自由表面具有能量的耗散,也就是阻尼的来源.根据耗散Green函数的无旋性近似和水翼表面的双向分布,提出了双向的面元法(doublet panel method).数值计算后得到的结果,与分析解和已有实验数据均吻合得很好.

A doublet integral equation was formulated for a two-dimensional dissipative poten- tial flow around a hydrofoil submerged below the free-water surface. The free-water surface was assumed to involve energy dissipation and thus was source of damping. A doublet panel method was developed from incorporation of dissipative Green function approach and doublets distribution on the hydrofoil surface. Numerical computations were implemented and derived numerical results were in good agreement with analytic solutions and experimental measure- ments.