American Journal of Computational Mathematics

Volume 7, Issue 3 (September 2017)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

Google-based Impact Factor: 1.05  Citations  

Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation

HTML  XML Download Download as PDF (Size: 2800KB)  PP. 350-370  
DOI: 10.4236/ajcm.2017.73025    1,723 Downloads   4,512 Views  Citations
Author(s)

ABSTRACT

The analytical solution of the convection diffusion equation is considered by two-dimensional Fourier transform and the inverse Fourier transform. To get the numerical solution, the Crank-Nicolson finite difference method is constructed, which is second-order accurate in time and space. Numerical simulation shows excellent agreement with the analytical solution. The dynamic visualization of the simulating results is realized on ArcGIS platform. This work provides a quick and intuitive decision-making basis for water resources protection, especially in dealing with water pollution emergencies.

Share and Cite:

Li, L. and Yin, Z. (2017) Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation. American Journal of Computational Mathematics, 7, 350-370. doi: 10.4236/ajcm.2017.73025.

Cited by

[1] A review on process-based groundwater vulnerability assessment methods
Processes, 2023
[2] Computational analysis of time-fractional models in energy infrastructure applications
Alexandria Engineering …, 2023
[3] Status quo and change characteristics of groundwater resources pollution in the Hami region based on sustainable development strategies
Water Supply, 2023
[4] Research on the Convection-Reaction-Diffusion Model of Contaminants in Fracturing Flowback Fluid in Non-Equidistant Artificial Fractures with Arbitrary Inclination in …
ACS omega, 2023
[5] Unveiling the Hidden Depths: A Review for Understanding and Managing Groundwater Contamination in Arid Regions
2023
[6] A Numerical Simulation of Air Flow in the Human Respiratory System Based on Lung Model
Journal of Applied Mathematics and …, 2023
[7] A Spectral Method for Convection-Diffusion Equations
Applied Mathematics, 2022
[8] Two-Dimensional-One-Dimensional Alternating Direction Schemes for Coastal Systems Convection-Diffusion Problems
Mathematics, 2021
[9] Numerical Groundwater Quality Assessment Model Using Two-level Explicit Methods.
2021
[10] Compact finite-difference method for 2D time-fractional convection–diffusion equation of groundwater pollution problems
2020
[11] Train Like a (Var) Pro: Efficient Training of Neural Networks with Variable Projection
2020
[12] Numerical simulation of single-phase two-components flow in naturally fractured oil reservoirs
2019
[13] COB-2019-0958 ON THE NUMERICAL RESERVOIR SIMULATION OF SINGLE PHASE TWO COMPONENTS FLOW ALONG WITH INTERMEDIATE TIME STEPS
Conference Paper, 2019
[14] 稳定化谱元方法求解二维稳态对流扩散方程
2018
[15] Transient Analysis of Contaminant Diffusion in the Wellbore of Shale Gas Horizontal Wells
Water, Air, & Soil Pollution, 2018
[16] Fourth-order compact finite difference method for solving two-dimensional convection–diffusion equation
2018

Journals Menu
Follow SCIRP
Contact us
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2025 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.