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.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Groundwater Flow Simulation in an Unconfined Aquifer Using Local Radial Point Interpolation Meshless Method (LRPIM)


    Weitere Titelangaben:

    Lecture Notes in Civil Engineering


    Beteiligte:
    Timbadiya, P. V. (Herausgeber:in) / Patel, P. L. (Herausgeber:in) / Singh, Vijay P. (Herausgeber:in) / Sharma, Priyank J. (Herausgeber:in) / Swetha, K. (Autor:in) / Eldho, T. I. (Autor:in) / Guneshwor Singh, L. (Autor:in) / Vinod Kumar, A. (Autor:in)

    Kongress:

    International Conference on Hydraulics, Water Resources and Coastal Engineering ; 2021 December 23, 2021 - December 25, 2021



    Erscheinungsdatum :

    2023-05-01


    Format / Umfang :

    14 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Groundwater Flow Modeling in a Heterogeneous Porous Medium Using Meshless Method

    Pathania, Tinesh / Eldho, T. I. | Springer Verlag | 2023


    AIAA-2004-1768 Radial Basis Meshless Local Petrov-Galerkin Method for Thick Beams

    Phillips, D. / Raju, I. | British Library Conference Proceedings | 2004



    Meshless Local Petrov-Galerkin Euler-Bernoulli Beam Problems: A Radial Basis Function Approach

    Raju, I. / Phillips, D. / Krishnamurthy, T. et al. | British Library Conference Proceedings | 2003