A meshless weak strong form method for the groundwater flow simulation in an unconfined aquifer

Das, Sanjukta; Eldho, T. I.

doi:10.1016/j.enganabound.2022.02.001

Cited by 14 publications

(2 citation statements)

References 22 publications

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“…Meshless methods (Das et al 2022) are used to construct approximate functions without using meshes and have a wide range of applications in impact, penetration, and explosion problems. Since cracks can expand in any direction without restriction in the meshless method, therefore, several meshless methods have been applied in the analysis and study of dynamic fracture of rocks.…”

Section: Introductionmentioning

confidence: 99%

A smooth particle dynamics method considering material point failure for crack propagation simulation applied in rock mechanics

Gao,

Ren,

Zhang

et al. 2023

Nat Hazards

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The numerical simulation of rock fracture mechanics has been a major research hotspot and challenging area in the field of rock mechanics. Based on this background, a smooth particle dynamics numerical simulation method (RGIMP) is proposed to consider the failed material point. The RGIMP algorithm is simple in form, does not need to use multiple velocity fields, takes advantage of the efficient computational efficiency and stability of the GIMP itself, and simulates the brittle fracture process of the rock by the failure process of the material point, and the resulting cracks are display cracks. The accuracy of the RGIMP algorithm proposed in this paper was verified by uniaxial compressive numerical simulations of single-cleft standard cube specimen, double-cleft standard cube specimen, and double-cleft Brazilian disc specimen. The research results provide a certain reference for the application of smooth particle dynamics methods in rock mechanics engineering and understanding of rock fracture mechanisms.

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Section: Introductionmentioning

confidence: 99%

A smooth particle dynamics method considering material point failure for crack propagation simulation applied in rock mechanics

Gao,

Ren,

Zhang

et al. 2023

Nat Hazards

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“…Groundwater is one the most crucial resources that supply the water needs of human beings in different parts and zones (Das and Eldho 2022). As groundwater resources are laboriously renewable in nature and the renewing process takes a lot of time and money, a comprehensive plan must be sketched in a way that exploitation carry out in a proper and efficient manner.…”

Section: Introductionmentioning

confidence: 99%

Inverse modeling application for aquifer parameters estimation using a precise simulation–optimization model

Sahranavard

Mohtashami²,

Mohtashami

et al. 2022

Appl Water Sci

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In this research, a simulation–optimization (S/O) model is used in order to estimate aquifer parameters on two aquifers. In this model, meshless local Petrov–Galerkin (MLPG) is used for simulation purpose and modified teaching–learning-based optimization (MTLBO) algorithm is engaged as optimization model. Linking these two powerful models generates a S/O model named MLPG-MTLBO. The proposed model is applied on two aquifers: a standard and a real field aquifer. In standard aquifer, parameters are only transmissivity coefficients in x and y direction for three zones. The acquired results by MLPG-MTLBO are really close to true values. This fact presents the power of MLPG-MTLBO inverse model. Therefore, it is applied on field aquifer. Unconfined aquifer of Birjand recognized as real case study. Parameters which are needed to be estimated are specific yields and hydraulic conductivity coefficients. These parameters are computed by MLPG-MTLBO and entered to the groundwater flow model. The achieved groundwater table compared with observation data and RMSE is calculated. RMSE value is 0.356 m; however, this error criterion for MLPG and FDM is 0.757 m and 1.197 m, respectively. This means that estimation is precise and makes the RMSE to reduce from 0.757 to 0.356 m, and also, MLPG-MTLBO is an accurate model for this aim.

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A Meshless Weak–Strong Form Method for the Simulation of Coupled Flow and Contaminant Transport in an Unconfined Aquifer

Das

Eldho

2022

Transp Porous Med

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A meshless weak strong form method for the groundwater flow simulation in an unconfined aquifer

Cited by 14 publications

References 22 publications

A smooth particle dynamics method considering material point failure for crack propagation simulation applied in rock mechanics

A smooth particle dynamics method considering material point failure for crack propagation simulation applied in rock mechanics

Inverse modeling application for aquifer parameters estimation using a precise simulation–optimization model

A Meshless Weak–Strong Form Method for the Simulation of Coupled Flow and Contaminant Transport in an Unconfined Aquifer

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