波浪在圆弧型浮式多孔介质防波堤绕射的解析

为研究圆弧型浮式多孔介质防波堤的防浪效果,给出了圆弧型浮式多孔介质防波堤对波浪绕射计算的解析方法。假定防波堤刚性垂直薄壁、空间固定、水深恒定。假想存在一个圆柱面,把流场划分为内外区域,在每个区域上将速度势用特征函数展开,然后在它们的公共边界上进行匹配。匹配的原则是公共边界上速度连续、压力连续,从而可得到关于未知系数的一组线性代数方程组,解出未知系数,即可求得流域中任意一点的速度势和波高。数值结果给出了不同入射波波长及防波堤不同垂向沉深和不同孔隙率时防波堤周围波幅的等高线图。结果表明,圆弧型浮式多孔介质防波堤的防浪效果与入射波波长和防波堤的垂向沉深及孔隙率密切相关。

Analytical research on wave diffraction of arc-shaped floating porous breakwaters

An analy t ical method w as developed to study the w ave diff ract ion effect s on arc-shaped float ing po rous breakw ater s. T he breakw ater w as assumed to be r ig id, thin, vert ical, immovable and located in w ater of co nstant depth. T he fluid domain was divided into two reg ions by imaginary interface. The velocity po tent ial in each region w as expanded by eig enfunct ions. By sat isfying the cont inuity of pressure and normal velocity across the imaginar y f luid interface, a set of linear algebraic equat ions could be obtained to determine the unknow n coef f icient s fo r eigenfunctio ns. Numerical result s, in the form o f contour maps of the relat ive w ave amplitude aro und the breakw ater, w ere presented for a range of w ave and breakw ater parameters. Result s show that the shelter ing ef fect s on the arc-shaped floating porous breakwater are closely relativ e to the incident wav elength, the dr af t and the porosity o f the breakw ater