自适应网格下的近岸波浪缓坡方程数值模型

在近岸变水深缓坡海域,充分考虑到波浪传播过程中的折射、绕射、反射以及波浪破碎等效应,采用引入破碎项的椭圆型缓坡方程,基于自适应四叉树网格建立了近岸波浪缓坡方程的数值模型,数值模型采用有限体积法求解。该网格可根据计算节点处波长与网格尺寸间的关系自动判定是否进行网格加密划分,使之适应椭圆型缓坡方程每个波长范围内至少布置8个计算节点的特征,提高计算精度的同时又能提高计算效率。采用已有的物理模型试验和实测资料对数值模型进行了验证。结果表明,该模型可以有效地模拟近岸变水深缓坡海域波浪传播。

Near-shore waves elliptic mild-slope equation model under adaptive grid

The water waves were numerically studied by the elliptic mild-slope equation which introduced wave-breaking effect and considered the refraction,diffraction and reflection on the near-shore mild-slope coastal.Under a automatic quad-tree grid system,the numerical model was solved by finite volume method.The primary grid would be divided if the local wavelength is smaller-than-eightfold grid width to insure the accuracy of the elliptic mild-slope equation.The numerical results were compared with physical experiment data and the field measurement data,and the results showed that the numerical model has preferable adaptation to near-shore complex zones.