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Simulation of groundwater flow in unconfined aquifer using meshfree point collocation method

机译：无网格点配点法模拟无侧承压含水层中的地下水流

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摘要

For appropriate management of available groundwater, the flow behavior in the porous media has to be analyzed. The complex problem of groundwater flow can be studied by solving the governing equations analytically or by using numerical methods. As the analytical solutions are available only for simple idealized cases, numerical methods such as finite difference method (FDM) and finite element method (FEM) are generally used for field problems. Meshfree (MFree) method is an alternative numerical approach to solve complex groundwater problems in simple manner. MFree method eliminates the drawback of meshing and remeshing as in FDM and FEM which can translate to substantial cost and time savings in modeling. In this paper, a model using MFree point collocation method (PCM) with multi-quadric radial basis function (MQ-RBF) is proposed for 2D groundwater flow simulation. The accuracy of the developed model is verified with available analytical solution in literature. The developed model is applied initially for a hypothetical problem and further for a field problem to compute head distribution. The PCM model results for the hypothetical problem are compared with FEM simulations while that of field problem are compared with boundary element based model results. The PCM model results are found to be satisfactory showing the applicability of the present approach.
机译：为了适当管理可用的地下水，必须分析多孔介质中的流动行为。可以通过解析求解控制方程或使用数值方法来研究地下水流的复杂问题。由于解析解仅适用于简单的理想情况，因此通常使用数值方法（例如有限差分法（FDM）和有限元方法（FEM））解决现场问题。无网格（MFree）方法是另一种数值方法，可以用简单的方式解决复杂的地下水问题。 MFree方法消除了FDM和FEM中的网格划分和重新网格化的缺点，可以在建模中节省大量成本和时间。本文提出了一种基于MFree点配点法（PCM）和多二次径向基函数（MQ-RBF）的二维地下水流模拟模型。使用文献中可用的分析解决方案验证了开发模型的准确性。最初将开发的模型应用于假设问题，然后再将其应用于现场问题以计算压头分布。将假设问题的PCM模型结果与FEM仿真进行比较，而将现场问题的PCM模型结果与基于边界元的模型结果进行比较。发现PCM模型结果令人满意，显示了本方法的适用性。

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