摘要
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。
The governing equations for surface and subsurface flows were unified and a new kind of extended shallow water equation was presented in this paper. Based on the unstructured finite volume method, an integrated vertically averaged free-surface and subsurface model suitable for estuarine and coastal areas was established. In one common model the surface and groundwater flow can be modeled simultaneously and the computational efficiency was improved without the limitation of CFL condition. Based on the model, water fluctuation in enclosed lagoon caused by the tidal movement was simulated with good agreement of the calculated values and measured. In the end, the free vibration in the parabolic lake due to initial free surface was modeled, and simulated results agree well with the analytical solutions. It is also proved that this new integrated model has the ability to treat moving boundary problems in large scale complicated tidal flow simulation .
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2010年第4期460-468,共9页
Chinese Journal of Hydrodynamics
基金
水文水资源与水利工程科学国家重点实验室开放基金资助项目(2007491211)
河海大学自然科学基金(2009423511,2009423611)
水利部公益性科研专项(200901032)
海洋公益性行业科研专项(200705015)
关键词
地表水与地下水
扩展型浅水方程
整体数值模型
非结构有限体积法
surface and subsurface water
extended shallow water equations
integrated numerical model
unstructured finite volume method
作者简介
孔俊（1978-），男，江苏镇江人，讲师，博士．Email：kongjun@hhu．edu．cn；
