计算域中存在直立岛式结构物时波浪传播的数值模拟

针对计算域中存在直立岛式结构物的复连通区域，提出了岛体边界条件，利用缓坡方程建立了在计算域中存在直立岛式结构物时波浪传播的数值模拟模型。模型适用于变水深水域问题，克服了解析解只能适用于等水深水域的不足。直立圆柱和无穷小厚度岛式防波堤周围波浪传播的数值算例表明，数值解与解析解吻合良好，说明所建立的数值模拟模型能有效地模拟复连通区域内的波浪传播。矩形固定式防波堤周围波浪场的数值模拟说明该模型对工程实际有较强的适应性。

Numerical simulation of wave propagation over vertical island structures

The boundary conditions are presented herein to study the wave propagation in water area with vertical island structures. A numerical simulation model in the multiply connected domain is presented based on the mild slope equation. The model is suitable to varying topography with complicated boundaries and overcomes the limitation of the theoretical method that can only be used for constant water depth. The numerical examples of a vertical circular cylinder and an island breakwater of infinitesimal thickness indicate that the numerical results of the present model are in agreement with those of the analysis and demonstrate that the model can simulate the interaction between waves and vertical island structures effectively. And the examples of waves around fixed rectangle breakwaters illustrate that the present model can by applied to real engineering problems.