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Groundwater Flow Simulation in an Unconfined Aquifer Using Local Radial Point Interpolation Meshless Method (LRPIM)
To tackle the groundwater flow issues, numerical approaches like the finite difference method and the finite element method are frequently utilized. The pre-processing portion of these traditional methods involves the usage of elements or a grid to solve the issue. Pre-processing or re-meshing process consumes more time and computationally complex. In order to avoid these difficulties, meshless techniques are evolved. Based on the formulation procedure, meshless methods were classified into strong form and weak form. In this paper, one of the weak form method known as local radial point interpolation method (LRPIM) is used to simulate the groundwater flow in an unconfined aquifer. The LRPIM flow model is developed using the MATLAB® platform and applied to a hypothetical unconfined aquifer problem. The results obtained from the model is compared with finite difference method (FDM) and found to be satisfactory. The LRPIM model takes the advantage of having shape functions with weaker consistency because of the reduced order of the governing equation in the weak form formulation. Background cells are not needed for interpolation and integration in LRPIM. Implementation of both essential and Neumann boundary condition is easier because of Kronecker delta property and weak form formulation. In LRPIM, multi-quadratics radial basis function (MQ-RBF) is used for calculating the shape function and the approach provided high accuracy.
Groundwater Flow Simulation in an Unconfined Aquifer Using Local Radial Point Interpolation Meshless Method (LRPIM)
To tackle the groundwater flow issues, numerical approaches like the finite difference method and the finite element method are frequently utilized. The pre-processing portion of these traditional methods involves the usage of elements or a grid to solve the issue. Pre-processing or re-meshing process consumes more time and computationally complex. In order to avoid these difficulties, meshless techniques are evolved. Based on the formulation procedure, meshless methods were classified into strong form and weak form. In this paper, one of the weak form method known as local radial point interpolation method (LRPIM) is used to simulate the groundwater flow in an unconfined aquifer. The LRPIM flow model is developed using the MATLAB® platform and applied to a hypothetical unconfined aquifer problem. The results obtained from the model is compared with finite difference method (FDM) and found to be satisfactory. The LRPIM model takes the advantage of having shape functions with weaker consistency because of the reduced order of the governing equation in the weak form formulation. Background cells are not needed for interpolation and integration in LRPIM. Implementation of both essential and Neumann boundary condition is easier because of Kronecker delta property and weak form formulation. In LRPIM, multi-quadratics radial basis function (MQ-RBF) is used for calculating the shape function and the approach provided high accuracy.
Groundwater Flow Simulation in an Unconfined Aquifer Using Local Radial Point Interpolation Meshless Method (LRPIM)
Lecture Notes in Civil Engineering
Timbadiya, P. V. (editor) / Patel, P. L. (editor) / Singh, Vijay P. (editor) / Sharma, Priyank J. (editor) / Swetha, K. (author) / Eldho, T. I. (author) / Guneshwor Singh, L. (author) / Vinod Kumar, A. (author)
International Conference on Hydraulics, Water Resources and Coastal Engineering ; 2021
2023-05-01
14 pages
Article/Chapter (Book)
Electronic Resource
English
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