Windowed Spatial Zooming in Finite‐Difference Ground Water Flow Models
Windowed Spatial Zooming in Finite‐Difference Ground Water Flow Models
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DOI：
10.1111/j.1745-6584.1998.tb02188.x
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发表时间：
1998-09
期刊：
影响因子：
2.6
通讯作者：
F. Székely
中科院分区：
文献类型：
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作者：
F. Székely
提出了一种基于点心有限差分格式的多含水层有限差分地下水流模型空间(横向和垂直)缩放的数值方法。使用复合矩形有限差分网格，允许在流域的分层关联窗口中进行不同的网格分辨率和/或分层。开发了一种称为网格界面模拟器(MIS)的迭代程序，将父网格和子网格沿着它们的边界连接起来，称为界面。MIS将测压水头沿界面的横向流量等同于沿界面的流量。给出了一个两含水层系统中四个夹层网格空间变焦的数值算例。将数值模拟结果与解析解进行了比较，以评估数值有限差分程序和管理信息系统程序的总体逼近误差。
A numerical technique for spatial (lateral and vertical) zooming in finite‐difference multiaquifer ground water flow models with a point‐centered finite‐difference scheme is presented. A composite, rectangular finite‐difference mesh is used, allowing for different mesh resolutions and/or layering in hierarchically associated windows of the flow domain. An iterative procedure, called mesh interface simulator (MIS), is developed to link the parent and child meshes along their boundaries, referred to as interfaces. MIS equates the piezometric head along and the lateral flux across the interface. A numerical example of four interbedded meshes in a two‐aquifer system with spatial zooming is evaluated. The results of numerical simulation are compared to an analytical solution to assess the overall approximation error of the numerical finite‐difference and MIS procedures.