Coupled groundwater flow and contaminant transport simulation in a confined aquifer using meshfree radial point collocation method (RPCM)

Singh, L. Guneshwor; Eldho, T. I.; Kumar, Avinash

doi:10.1016/j.enganabound.2016.02.001

Cited by 35 publications

(3 citation statements)

References 22 publications

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“…To solve these equations, there are two different approaches, namely the analytical and the numerical approaches. Different numerical approaches, such as finite difference methods (FDM) [8], finite element methods (FEM) [9][10][11][12][13][14], finite volume methods (FVM) [15] and Meshfree methods including radial point collocation method (RPCM) [16,17], and radial base functions (RBFS) [18,19] can be utilised to solve the governing equation of the flow and solute transport in groundwater. The selection of the best method among these depends on site-specific needs, availability of input data, expectation and use of the model results, and the analytical solution can be used as a benchmark to show the accuracy of the numerical approach used, considering different conditions such as the aquifer's heterogeneity [11].…”

Section: Introductionmentioning

confidence: 99%

Optimization of the Groundwater Remediation Process Using a Coupled Genetic Algorithm-Finite Difference Method

Seyedpour

Valizadeh

Kirmizakis

et al. 2021

Water

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In situ chemical oxidation using permanganate as an oxidant is a remediation technique often used to treat contaminated groundwater. In this paper, groundwater flow with a full hydraulic conductivity tensor and remediation process through in situ chemical oxidation are simulated. The numerical approach was verified with a physical sandbox experiment and analytical solution for 2D advection-diffusion with a first-order decay rate constant. The numerical results were in good agreement with the results of physical sandbox model and the analytical solution. The developed model was applied to two different studies, using multi-objective genetic algorithm to optimise remediation design. In order to reach the optimised design, three objectives considering three constraints were defined. The time to reach the desired concentration and remediation cost regarding the number of required oxidant sources in the optimised design was less than any arbitrary design.

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Section: Introductionmentioning

confidence: 99%

Optimization of the Groundwater Remediation Process Using a Coupled Genetic Algorithm-Finite Difference Method

Seyedpour

Valizadeh

Kirmizakis

et al. 2021

Water

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“…Swathi and Eldho (2014) developed a simulation model with meshless local Petrov-Galerkin method (MLPGM) for the unconfined groundwater flow. Guneshwor Singh et al (2016) used the meshless radial point collocation method (RPCM) for solving the coupled GFCT equations for the confined aquifer. Later, Guneshwor et al (2018) combined the GFCT simulations of RPCM with particle swarm optimization (PSO) for identifying the unknown contaminant sources.…”

Section: Introductionmentioning

confidence: 99%

A Moving Least Squares Based Meshless Element-Free Galerkin Method for the Coupled Simulation of Groundwater Flow and Contaminant Transport in an Aquifer

Pathania

Eldho

2020

Water Resour Manage

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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 MOD-FLOW 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.

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“…In this study, Meshfree (MFree) method is proposed for the analysis of seawater intrusion problem. Mesh Free method has been used earlier to model the groundwater flow and solute transport problems [9]- [17]. It was found to be more effective because of its advantages over the mesh based methods.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Seawater Intrusion in Coastal Confined Aquifer Using a Point Collocation Method Based Meshfree Model

Thomas¹,

Eldho²,

Rastogi³

2016

JWARP

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Seawater intrusion caused by groundwater over-exploitation from coastal aquifers poses a severe problem in many regions. Formulation of proper pumping strategy using a simulation model can assure sustainable supply of fresh water from the coastal aquifers. The focus of the present study is on the development of a numerical model based on Meshfree (MFree) method to study the seawater intrusion problem. For the simulation of seawater intrusion problem, widely used models are based on Finite Difference (FDM) and Finite Element (FEM) Methods, which demand well defined grids/meshes and considerable pre-processing efforts. Here, MFree Point Collocation Method (PCM) based on the Radial Basis Function (RBF) is proposed for the simulation. Diffusive interface approach with density-dependent dispersion and solution of flow and solute transport is adopted. These equations are solved using PCM with appropriate boundary conditions. The developed model has been verified with Henry's problem, and found to be satisfactory. Further the model has been applied to another established problem and an attempt is made to examine the influence of important system parameters including pumping and recharge on the seawater intrusion. The PCM based MFree model is found computationally efficient as preprocessing is avoided when compared to other numerical methods.

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Coupled groundwater flow and contaminant transport simulation in a confined aquifer using meshfree radial point collocation method (RPCM)

Cited by 35 publications

References 22 publications

Optimization of the Groundwater Remediation Process Using a Coupled Genetic Algorithm-Finite Difference Method

Optimization of the Groundwater Remediation Process Using a Coupled Genetic Algorithm-Finite Difference Method

A Moving Least Squares Based Meshless Element-Free Galerkin Method for the Coupled Simulation of Groundwater Flow and Contaminant Transport in an Aquifer

Simulation of Seawater Intrusion in Coastal Confined Aquifer Using a Point Collocation Method Based Meshfree Model

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