In this study, a meshless simulation model based on the element-free Galerkin method (EFGM) is proposed for the coupled simulation of groundwater flow and contaminant transport (GFCT) in the two-dimensions. EFGM discretizes the governing GFCT equations using the Galerkin integral approach and shape functions generated through the moving least squares (MLS) approximation method. It results into the stable system of equations for estimating the groundwater head and contaminant concentration values. EFGM computes the several global matrices using the spatial information of the scattered and unconnected field nodes and hence, terminates the meshing procedure unlike the finite difference (FDM) and finite element (FEM) methods. The Kronecker delta function property is missing in EFGM shape functions and hence, the Dirichlet boundary conditions are enforced with some special methods. We have used the penalty method to include them into the presented EFGM model. This method is straightforward and computationally useful for the real field simulations. The proposed model is first validated using both the one- and two-dimensional analytical solutions. The developed coupled model is then applied to solve the hypothetical and real field problems. EFGM results for both the problems are compared with the MODFLOW and MT3DMS results for the head and concentration values respectively. EFGM results are found to be satisfactory for both the cases, and it shows the potential of the proposed approach for the coupled GFCT simulations.

在这项研究中，提出了一种基于无网格Galerkin方法（EFGM）的无网格模拟模型，用于二维二维地下水流与污染物迁移（GFCT）的耦合模拟。EFGM使用Galerkin积分方法和通过移动最小二乘（MLS）近似方法生成的形状函数离散化控制GFCT方程。它形成了稳定的方程组，用于估计地下水位和污染物浓度值。EFGM使用分散的和未连接的场节点的空间信息来计算多个全局矩阵，因此，与有限差分（FDM）和有限元（FEM）方法不同，EFGM终止了网格划分过程。EFGM形状函数缺少Kronecker delta函数属性，因此，Dirichlet边界条件通过一些特殊方法强制执行。我们已经使用惩罚方法将它们包括在提出的EFGM模型中。该方法简单易行，并且在实际模拟中在计算上很有用。首先使用一维和二维分析解决方案对所提出的模型进行验证。然后，将开发的耦合模型用于解决假设和实际问题。将这两个问题的EFGM结果分别与压头和浓度值的MODFLOW和MT3DMS结果进行比较。两种情况下的EFGM结果均令人满意，并且表明了所提出方法在耦合GFCT模拟中的潜力。该方法简单易行，并且在实际模拟中在计算上很有用。首先使用一维和二维分析解决方案对所提出的模型进行验证。然后，将开发的耦合模型用于解决假设和实际问题。将这两个问题的EFGM结果分别与压头和浓度值的MODFLOW和MT3DMS结果进行比较。两种情况下的EFGM结果均令人满意，并且表明了所提出方法在耦合GFCT模拟中的潜力。该方法简单易行，并且在实际模拟中在计算上很有用。首先使用一维和二维分析解决方案对所提出的模型进行验证。然后，将开发的耦合模型用于解决假设和实际问题。将这两个问题的EFGM结果分别与压头和浓度值的MODFLOW和MT3DMS结果进行比较。两种情况下的EFGM结果均令人满意，并且表明了所提出方法在耦合GFCT模拟中的潜力。将这两个问题的EFGM结果分别与压头和浓度值的MODFLOW和MT3DMS结果进行比较。两种情况下的EFGM结果均令人满意，并且表明了所提出方法在耦合GFCT模拟中的潜力。将这两个问题的EFGM结果分别与压头和浓度值的MODFLOW和MT3DMS结果进行比较。两种情况下的EFGM结果均令人满意，并且表明了所提出方法在耦合GFCT模拟中的潜力。