针对平面二维数学模型在预测分层流等方面的不足，考虑到海湾岸线和海底地形的复杂性，采用非结构网格上的有限体积法建立了海湾潮流运动的三维数学模型。模型垂向采用σ坐标，动量方程求解考虑地球自转科氏力。数学模型求解采用显式差分技术，采用CFL数作为迭代计算的收敛控制条件。以深圳大鹏湾为例，采用三维数学模型计算了典型大潮、小潮条件下的水动力场。对不同潮型下的潮流流速、流向进行了验证，对湾内的潮流流场进行了分析。结果表明：三维数值计算结果和实测数据符合较好，证实了三维数学模型的可靠性。%For the weakness of 2D mathematics model for predicting the stratified flow, considering the complex of the coastal line and seabed terrain, 3D mathematics model was used to setup the tide movement of the bay based on finite volume method with unstructured mesh. σcoordinate was used in vertical direction and Coriolis force was added to momentum equation considering the rotating effect of earth. Explicit difference technology was applied to solve the 3D mathematics model and CFL number was used to be convergence control condition for iteration. Taking Shenzhen Dapeng Bay as an example, 3D mathematics model was used to calculate the hydrodynamics field under typical big tide and small tide. Tide velocity and direction was verified under different tide types and the tide movement of the bay was analyzed. The 3D numerical simulation result matches the observation data well, indicating the reliability of the 3D mathematics model.
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