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提出了能同时满足地下水和地表水运动的扩展型浅水方程,并结合非结构隐式有限体积法,建立适用于海岸、河口地区的地表水与地下水整体数值模型。在一套模型内同时模拟地下水与地表水运动,避免了传统方法两者交界面边界条件的匹配问题,且模型时间步长不受CFL条件的限制,计算效率较传统方法明显提高。模型成功模拟了滨海地区封闭型泻湖受外海潮汐影响而产生的水面震荡现象,计算值与实测值吻合较好。进一步通过与Thacker浅水湖振荡解析模型的比较,表明该模型还可应用于复杂潮滩海域地表水动边界的模拟。
An extended shallow water equation that can satisfy both groundwater and surface water movement is proposed. Combined with the unstructured implicit finite volume method, a numerical model of surface water and groundwater suitable for coastal and estuarine areas is established. Simulating groundwater and surface water movement in a set of models simultaneously avoids the matching problem of the boundary conditions at the interface of the traditional method, and the time step of the model is not limited by the CFL conditions, and the computational efficiency is obviously improved compared with the traditional method. The model successfully simulates the water surface turbulence caused by the tide of the enclosed lagoon in the coastal area. The calculated value is in good agreement with the measured value. Further comparison with Thacker’s analytical solution for shallow water lava shows that the model can also be applied to the simulation of surface hydrodynamic boundary in complex tidal flat.