Simulation of reactive transport in porous media using Meshless Local Petrov Galerkin (MLPG) and combination of Meshless Weak and Strong (MWS) form methods

Das, Sanjukta; Eldho, T. I.

doi:10.1016/j.jconhyd.2022.104104

Cited by 5 publications

(2 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Given the current conditions [16,52], the problem of groundwater contamination is now more crucial than ever for the utilization of finite freshwater resources. Modelling this process is crucial for comprehending the current state and forecasting the future condition of aquifers.…”

Section: One-dimensional Modelling Of Aquifer Contaminationmentioning

confidence: 99%

Navigating the Depths: A Comprehensive Review of Numerical Groundwater Models – Objectives, Advantages & Challenges

Davamani,

Poornachandhra,

John

et al. 2024

Preprint

View full text Add to dashboard Cite

The Earth's fresh water resources predominantly is groundwater that is pumped out due to rapid urbanization and aggravated by climate change. Groundwater modeling is a crucial tool for understanding aquifer systems, employing 1D, 2D, and 3D numerical models with distinct applications. One-dimensional models focus on vertical dynamics, examining aquifer properties and simulating vertical contaminant transport. Two-dimensional models extend to regional scales, considering horizontal variations and assessing groundwater-surface water interactions, making them valuable for watershed-scale studies. Three-dimensional models provide a comprehensive representation of hydrogeological systems, capturing intricate flow patterns and aiding site-specific assessments. Comparative analysis reveals model strengths and limitations, emphasizing the importance of calibration for reliable results. Case studies showcase practical applications, such as 1D models in flooding analysis and 2D models for simulating debris flows. Three-dimensional modeling proves essential for understanding complex river-aquifer exchange fluxes. Future directions call for a global groundwater platform to address data variability and technical challenges. Despite substantial investments required, the anticipated returns in scientific advancements, societal benefits, and economic gains are expected to outweigh the initial costs. This review aims in highlighting the significance of advancing all three-dimension groundwater modeling for sustainable water resource management and environmental protection.

show abstract

Section: One-dimensional Modelling Of Aquifer Contaminationmentioning

confidence: 99%

Navigating the Depths: A Comprehensive Review of Numerical Groundwater Models – Objectives, Advantages & Challenges

Davamani,

Poornachandhra,

John

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…Through specific numerical examples, it has been demonstrated that the RKPM has higher accuracy in studying the elastic behavior of the Ni-Ti SMAs compared to the Galerkin method. [34][35][36] Under the same discrete specifications, the accuracy of the RKPM is higher than the FEM.…”

Section: Introductionmentioning

confidence: 98%

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Zhang,

Wei,

Liu

2024

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

The unique superelastic properties of the Ni-Ti shape memory alloys (SMAs) have been found extensive practical application in many engineering fields, but the Ni-Ti SMAs exhibits elastic behavior in small load, so the elastic behavior of the Ni-Ti SMAs is studied by using meshless method of reproducing kernel particle method (RKPM) in this paper. The displacement boundary conditions are applied by utilizing the penalty function method, and the impact of penalty factor and parameter of influence domain on errors are discussed, and computational stability is analyzed. At last, the correctness of the RKPM in studying the elastic behavior of the Ni-Ti SMAs is evidenced by using three numerical examples.

show abstract

Disclosure of the intricacies in coupled groundwater flow and contaminant transport using mesh-less local Petrov–Galerkin method

Zeinaddini Meimand,

Pirzadeh,

Hashemi Monfared

et al. 2024

Int. J. Environ. Sci. Technol.

View full text Add to dashboard Cite

Simulation of reactive transport in porous media using Meshless Local Petrov Galerkin (MLPG) and combination of Meshless Weak and Strong (MWS) form methods

Cited by 5 publications

References 34 publications

Navigating the Depths: A Comprehensive Review of Numerical Groundwater Models – Objectives, Advantages & Challenges

Navigating the Depths: A Comprehensive Review of Numerical Groundwater Models – Objectives, Advantages & Challenges

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Disclosure of the intricacies in coupled groundwater flow and contaminant transport using mesh-less local Petrov–Galerkin method

Contact Info

Product

Resources

About