边界配点法在二维线性水波问题中的应用

BOUNDARY COLLOCATION METHOD FOR TWO DIMENSIONAL LINEAR WAVE PROBLEM

采用特征函数展开法和边界配点法相组合的方法求解二维线性水波问题,计算模型不再局限在矩形物体,而是有限等深域、无限区域内部分淹没的楔形固定障碍物,分析其存在对原波浪速度势在遇障碍物前后区域内的变化影响。边界配点法具有概念简单、易编程、适用于不规则区域和任意几何形状边界的优势,可有效避免复杂的计算和编程,更易广泛应用在各海洋工程问题中。

Boundary Collocation Method （BCM） based on Eigenfunction Expansion Method （EEM） was developed as a new numerical method for two-dimensional linear theory of water waves. The model was not restricted to rectangular objects, but a partly-submerged triangle obstacle in an infinite domain with finite water depth. The effect of the model on velocity potential of original wave in the subregions was analyzed. The BCM possesses several advantages, such as conceptual simplicity, ease programming, being suitable for irregular domains and arbitrary boundary conditions so that can effectively avoid complex calculation and programming. It can be widely used in ocean engineering.