黄海辐射沙洲波浪折射数学模型

A Model of Wave Refraction over the Radiate Shoal of the Yellow Sea

建立了黄海辐射沙洲波浪折射计算的数学模型．模型依据Ｌｏｎｇｕｅｔ－Ｈｉｇｇｉｎｓ提出的波数平面上波浪能量密度沿波射线守恒的理论，建立近岸浅水点与深水边界波谱之间的关系．采用三角形网格概化水下地形，使得波射线方程的求解简化成几何问题；采用逆追踪法，即由近岸浅水工程点出发沿与波射线相反的方向追踪，减少了计算的盲目性和计算工作量；深水边界采用方向谱，并可选择不同的谱型以满足不同问题的需要．黄海辐射沙洲区的应用表明。

In this paper, a wave refraction method has been described, which can be used in the analysis of wave refraction diagram over the radiate shoal of the Yellow Sea. On the basis of the two dimensional wave number spectrum theory, a function linking the outer boundary with the near shore point can be built up. In the model, the incident wave conditions over the outer boundary are specified by a two dimensional energy spectrum in frequency and direction, the sea bed is represented on a triangular grid, and the projection of wave rays is constructed in the reverse direction to the direction of propagation of the waves. Application of the method in the region of the radiate shoal of the Yellow Sea suggests that the present method is usable in analyses of wave refraction effects in natural sea conditions.