节点剖分法在城区地下水计算中的应用研究

 城区渗流场中地下阻水结构物众多，由于结构物角点为奇异点，而且结构物的尺寸跟整个渗流场的尺寸相比起来非常小，这导致现有的计算方法难以对城区渗流场进行模拟分析。针对城区渗流场的这些特点，通过引进流体力学的复势、偶极子、绕流等理论，采用剖分节点并在节点上施加流量，从而形成等阻水效果的方法对结构物进行等效模拟。首先研究单个结构体元素绕流的模拟问题，然后研究渗流场的迭代计算问题。在这些理论的基础上，开发相应的有限元计算程序并通过算例进行验证。

RESEARCH ON APPLICATION OF NODE PARTITION METHOD TO URBAN GROUNDWATER MODELING

Numerous impermeable underground structures exist in urban seepage field. Since the corner of the structure is singular point and the dimension of the structure is negligibly small compared with the whole urban seepage field，it is difficult to model seepage field in urban area with existing methods. Invoking the theories of complex potential，dipole，flow around cylinder，etc.，one method called node partition method is created here to model urban seepage field. Nodes are subdivided and flow rate is defined on given nodes in this method，then the same water check effect as underground structure is formed. The proposed method is first applied to seepage flow around a single underground structure. Iterative method for seepage flow is then tested. Based on these theories，a computer program based on finite element method is validated.