State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, 330013, Jiangxi, China.
School of Water Resources and Environmental Engineering, East China University of Technology, Nanchang, 330013, Jiangxi, China.
Sci Rep. 2022 Aug 12;12(1):13771. doi: 10.1038/s41598-022-18103-0.
Centrifugal modelling, both physical and numerical, has been used for studying groundwater flow and transport processes in the past. However, there was disagreement in previous studies whether numerical models can be used in simulating centrifugal systems under unsaturated flow condition. In the present study, a numerical model based on Richards' equation was developed to predict one-dimensional unsaturated flow in centrifugal systems. The validity of the model was tested using data from physical models in four published benchmark problems. The ability of the numerical model to close mass balance was also tested. It was shown that the newly developed numerical model was able to recreate the four benchmark problems quite successfully, indicating that using such a model under unsaturated flow condition is feasible. The mass conservation result shows that the model is more sensitive to spatial grid resolution than to specified temporal step. Therefore, fine spatial discretization is suggested to ensure the simulation quality. Additionally, adaptive temporal time stepping method can be used to improve the computational efficiency. It was found that the dimensionless factors used for scaling physical dimensions by 1/N, seepage velocity by N, and temporal dimension by 1/N were useful parameters for scaling centrifugal systems.
过去,人们曾使用离心模型(物理模型和数值模型)来研究地下水流动和运移过程。然而,在以往的研究中,对于数值模型是否可以用于模拟非饱和流条件下的离心系统存在分歧。本研究基于 Richards 方程开发了一个数值模型,用于预测离心系统中的一维非饱和流。通过使用四个已发表的基准问题中的物理模型数据对模型进行了验证。还测试了数值模型闭合质量平衡的能力。结果表明,新开发的数值模型能够相当成功地重现四个基准问题,这表明在非饱和流条件下使用这种模型是可行的。质量守恒结果表明,模型对空间网格分辨率的敏感性比对指定时间步长的敏感性更高。因此,建议采用精细的空间离散化来确保模拟质量。此外,可以使用自适应时间步长方法来提高计算效率。研究发现,用于将物理尺寸缩放为 1/N、渗流速度缩放为 N 和时间尺度缩放为 1/N 的无量纲因子是缩放离心系统的有用参数。