Application of level set method for groundwater flow with moving boundary
Application of level set method for groundwater flow with moving boundary
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DOI：
10.1016/j.advwatres.2012.06.013
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发表时间：
2012-10
影响因子：
4.7
通讯作者：
P. Frolkovic
中科院分区：
文献类型：
--
作者：
P. Frolkovic
一个潜在的水平集方法的数值模拟移动边界和界面的地下水流问题的应用程序与移动水位（潜水面）的流动的特定模型。针对一类可能的应用，阐述了水平集方法的主要组成部分，如水平集函数的平流、符号距离函数的计算和缺失数据的外推。地下水流问题的数值解提出使用基于通量的水平集方法和浸没界面方法，是基于有限体积离散在任何固定（非结构化）网格。给出的例子表明，该方法具有良好的性能，质量平衡误差小，网格收敛性好，即使是合并边界的例子。对一个有渗流边界的算例进行了计算，采用了局部自适应网格，根据地下水位移动的位置对网格进行了细化和粗化。
A potential of level set methods for the numerical modeling of moving boundaries and interfaces in groundwater flow problems is shown by the application for a particular model of the flow with moving water table (the phreatic surface). The main ingredients of the level set methods like the advection of level set function, the computation of signed distance function and the extrapolation of missing data are explained for a class of possible applications. The numerical solution of the groundwater flow problem is proposed using the flux-based level set method and the immersed interface method that are based on a finite volume discretization on any fixed (unstructured) grid. Presented examples show good properties of the method concerning a small mass balance error and a good grid convergence even for an example with merging boundaries. An example with seepage boundary is computed using the locally adapted grids by refining and coarsening the mesh according to the position of moving water table.